Research Explorer

Your browser does not support JavaScript or JavaScript is not enabled. Without JavaScript some functions of this webapplication may be disabled or cause error messages. To enable JavaScript, please consult the manual of your browser or contact your system administrator.

Researcher

Joris Van der Jeugt

Awards & Distinctions

168 Results

2025

Matrix structure of classical Z2 x Z2 graded Lie algebras

N. I. StoilovaJoris Van der Jeugt

The semiconfined harmonic oscillator with a position-dependent effective mass : exact solution, dynamical symmetry algebra and quasiprobability distribution functions

E. I. JafarovS. M. NagiyevJoris Van der Jeugt

2024

Generalized boson and fermion operators with a maximal total occupation property

N. I. StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Orthosymplectic Z2xZ2 -graded Lie superalgebras and parastatistics

N. StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2023

Algorithms for time-independent Schrödinger equations

Toon BaeyensMarnix Van DaeleJoris Van der Jeugt

Generalised symmetries and bases for dunkl monogenics

Hendrik De BieAlexis Langlois-RémillardRoy OsteJoris Van der Jeugt

A1 Journal Article in ROCKY MOUNTAIN JOURNAL OF MATHEMATICS

On classical Z(2) x Z(2)-graded Lie algebras

N. I. StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

The exceptional Lie algebra g2 is generated by three generators subject to quadruple relations

N. I. StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF LIE THEORY

Topics in representation theory of the Dunkl total angular momentum algebra

Alexis Langlois-RémillardJoris Van der JeugtHendrik De BieRoy Oste

2022

A Klein operator for paraparticles

Nedialka I. StoilovaJoris Van der Jeugt

Bookchapter in Lie theory and its applications in physics: Sofia, Bulgaria, June 2021

A Lie algebra of Grassmannian Dirac operators and vector variables

Asmus BisboHendrik De BieJoris Van der Jeugt

A1 Journal Article in JOURNAL OF LIE THEORY

Bases for infinite dimensional simple osp(1|2n)-modules respecting the branching osp(1|2n)⊃gl(n)

Asmus BisboJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Basis construction for representations of orthosymplectic algebras

Asmus BisboJoris Van der JeugtHendrik De Bie

Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass in an external homogeneous field

E I JafarovJoris Van der Jeugt

A1 Journal Article in PRAMANA-JOURNAL OF PHYSICS

Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl-Dirac operator

Hendrik De BieAlexis Langlois-RémillardRoy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF ALGEBRA

The Z(2) x Z(2)-graded Lie superalgebras pso(2n+1 | 2n) and pso(infinity | infinity) , and parastatistics Fock spaces

N. I. StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2021

Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass

E. I. JafarovJoris Van der Jeugt

A1 Journal Article in EUROPEAN PHYSICAL JOURNAL PLUS

On the direct limit from pseudo-Jacobi polynomials to Hermite polynomials

Elchin I. JafarovAygun M. MammadovaJoris Van der Jeugt

A1 Journal Article in MATHEMATICS

Representations of the Lie superalgebra osp(1 vertical bar 2n) with polynomial bases

Asmus BisboHendrik De BieJoris Van der Jeugt

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

2020

9j-coefficients and higher

Joris Van der Jeugt

Bookchapter in Encyclopedia of special functions : the Askey-Bateman project : volume 2 : multivariable special functions

A class of representations of the orthosymplectic Lie superalgebras B(n,n) and B(infinity,infinity)

N.I. StoilovaJoris Van der Jeugt

Exact solution of the position-dependent effective mass and angular frequency Schrodinger equation : harmonic oscillator model with quantized confinement parameter

I Jafarov, E.S. M. NagiyevRoy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Partition functions and thermodynamic properties of paraboson and parafermion systems

N.I. StoilovaJoris Van der Jeugt

A1 Journal Article in PHYSICS LETTERS A

The Z2xZ2-graded general linear Lie superalgebra

Phillip S. IsaacN. I. StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

2019

Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra gl(n|n) in odd Gelfand-Zetlin basis

NI StoilovaJoris Van der Jeugt

Parabosons, parafermions and representations of ℤ₂ x ℤ₂-graded Lie superalgebras

N. I. StoilovaJoris Van der Jeugt

Representations of the Lie superalgebra Β(∞, ∞) and parastatistics Fock spaces

NI StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2018

On characters and superdimensions of some infinite-dimensional irreducible representations of osp(m|n)

NI StoilovaJ Thierry-MiegJoris Van der Jeugt

A1 Journal Article in PHYSICS OF ATOMIC NUCLEI

On superdimensions of some infinite-dimensional irreducible representations of osp(m|n)

NI StoilovaJ Thierry-MiegJoris Van der Jeugt

On the algebra of symmetries of Laplace and Dirac operators

Hendrik De BieRoy OsteJoris Van der Jeugt

A1 Journal Article in LETTERS IN MATHEMATICAL PHYSICS

Symmetries of the S₃ Dirac-Dunkl operator

Hendrik De BieRoy OsteJoris Van der Jeugt

The total angular momentum algebra related to the S-3 Dunkl Dirac equation

Hendrik De BieRoy OsteJoris Van der Jeugt

A1 Journal Article in ANNALS OF PHYSICS

The ℤ₂ x ℤ₂-graded Lie superalgebra 𝖕𝖘𝖔(2m +1|2n) and new parastatistics representations

NI StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2017

A finite quantum oscillator model related to special sets of Racah polynomials

Roy OsteJoris Van der Jeugt

A1 Journal Article in PHYSICS OF ATOMIC NUCLEI

Extension of the osp(m| n) ~ so(m - n) correspondence to the infinite-dimensional chiral spinors and self dual tensors

NI StoilovaJ Thierry-MiegJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Laplace and Dirac operators, symmetry algebras, and their use in Fourier transforms and quantum oscillator models

Roy OsteJoris Van der JeugtHendrik De Bie

Lie superalgebraic approach to quantum statistics : osp(3|2) Wigner quantum oscillator

Neli I StoilovaJoris Van der Jeugt

A2 Journal Article in BULGARIAN JOURNAL OF PHYSICS

The 'odd' Gelfand-Zetlin basis for representations of general linear Lie superalgebras

Joris Van der JeugtNI Stoilova

Tridiagonal test matrices for eigenvalue computations : two-parameter extensions of the Clement matrix

Roy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2016

A finite oscillator model with equidistant position spectrum based on an extension of su(2)

Roy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Algebraic structures related to Racah doubles

Roy OsteJoris Van der Jeugt

Doubling (dual) Hahn polynomials : classification and applications

Roy OsteJoris Van der Jeugt

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Gel'fand-Zetlin basis for a class of representations of the Lie superalgebra gl (∞|∞)

NI StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Generalized Fourier transforms arising from the enveloping algebras of sl(2) and osp(1|2)

Hendrik De BieRoy OsteJoris Van der Jeugt

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

The parastatistics Fock space and explicit infinite-dimensional representations of the Lie superalgebra osp(2m+1|2n)

NI StoilovaJoris Van der Jeugt

2015

30th International colloquium on group theoretical methods in physics (Group30), 14–18 July 2014, Ghent, Belgium

A class of infinite-dimensional representations of the Lie superalgebra osp(2m + 1|2n) and the parastatistics Fock space

NI StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators

David EelbodeTim RaeymaekersJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Motzkin paths, Motzkin polynomials and recurrence relations

Roy OsteJoris Van der Jeugt

A1 Journal Article in ELECTRONIC JOURNAL OF COMBINATORICS

The Dicke model as the contraction limit of a pseudo-deformed Richardson-Gaudin model

Pieter ClaeysStijn De BaerdemackerMario Van RaemdonckDimitri Van Neck

The su(2) Krawtchouk oscillator model under the CP deformed symmetry

EI JafarovAM JafarovaJoris Van der Jeugt

Unique characterization of the Fourier transform in the framework of representation theory

Hendrik De BieRoy OsteJoris Van der Jeugt

2014

On a pair of difference equations for the 4F3 type orthogonal polynomials and related exactly-solvable quantum systems

Elchin JafarovNedialka StoilovaJoris Van der Jeugt

Quantum oscillator models with a discrete position spectrum in the framework of Lie superalgebras

Elchin JafarovJoris Van der Jeugt

The Husimi distribution function and superposition of q-harmonic oscillator stationary states

Natig AtakishiyevElchin JafarovAynura JafarovaJoris Van der Jeugt

A2 Journal Article in TRANSACTIONS OF THE NATIONAL ACADEMY OF SCIENCES OF AZERBAIJAN. SERIES OF PHYSICAL-TECHNICAL AND MATHEMATICAL SCIENCES

The Wigner distribution function for the su(2) finite oscillator and Dyck paths

Roy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2013

A Wigner distribution function for finite oscillator systems

Joris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Finite oscillator models described by the Lie superalgebra sl(2|1)

Joris Van der Jeugt

The oscillator model for the Lie superalgebra sh(2|2) and Charlier polynomials

EI JafarovJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

The u(2)α and su(2)α Hahn harmonic oscillators

EI JafarovNI StoilovaJoris Van der Jeugt

A2 Journal Article in BULGARIAN JOURNAL OF PHYSICS

Wigner quantization and Lie superalgebra representations

Joris Van der Jeugt

2012

A finite oscillator model related to sl(2|1)

Elchin JafarovJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Deformed su (1,1) algebra as a model for quantum oscillators

Elchin JafarovNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Discrete series representations for sl(2|1), Meixner polynomials and oscillator models

Elchin JafarovJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2011

An exactly solvable spin chain related to Hahn polynomials

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Angular momentum decomposition of the three-dimensional Wigner harmonic oscillator

Gilles RegniersJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Explicit representations of classical Lie superalgebras in a Gelfand-Zetlin basis

Nedialka StoilovaJoris Van der Jeugt

Finite oscillator models : the Hahn oscillator

Elchin JafarovNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Quantum communication and state transfer in spin chains

Joris Van der Jeugt

Spectrum generating functions for oscillators in Wigner's quantization

Stijn LievensJoris Van der Jeugt

The su(2)α Hahn oscillator and a discrete Fourier-Hahn transform

Elchin JafarovNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2010

Analytically solvable quantum Hamiltonians and relations to orthogonal polynomials

Gilles RegniersJoris Van der Jeugt

Gel'fand-Zetlin basis and Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra gl(m/n)

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Paraboson coherent states

R ChakrabartiNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in PHYSICS OF ATOMIC NUCLEI

Parabosons, parafermions, and explicit representations of infinite-dimensional algebras

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in PHYSICS OF ATOMIC NUCLEI

Quantum communication through a spin chain with interaction determined by a Jacobi matrix

R ChakrabartiJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Quantum state transfer in spin chains with q-deformed interaction terms

Elchin JafarovJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

The Hamiltonian H = xp and classification of osp(1|2) representations

Gilles RegniersJoris Van der Jeugt

Transition to sub-Planck structures through the superposition of q-oscillator stationary states

EI JafarovJoris Van der Jeugt

A1 Journal Article in PHYSICS LETTERS A

Wigner quantization of some one-dimensional Hamiltonians

Gilles RegniersJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

2009

Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction

Gilles RegniersJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Finite-dimensional solutions of coupled harmonic oscillator quantum systems

Stijn LievensNedialka StoilovaJoris Van der Jeugt

Parafermions, parabosons and representations of so(infinity) and osp(1|infinity)

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS

Representations of the Lie superalgebras gl(1|n) and Wigner quantum oscillators

RC KingNedialka StoilovaJoris Van der Jeugt

Representations of the orthosymplectic Lie superalgebra osp(1/4) and paraboson coherent states

R. ChakrabartiNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matrix

Gilles RegniersJoris Van der Jeugt

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

2008

A class of unitary irreducible representations of the Lie superalgebra osp(1|2n)

Stijn LievensNedialka StoilovaJoris Van der Jeugt

A2 Journal Article in Journal of Generalized Lie Theory and Applications

A linear chain of interacting harmonic oscillators: solutions as a Wigner Quantum System

Stijn LievensNedialka StoilovaJoris Van der Jeugt

Algebraic generalization of quantum statistics

Nedialka StoilovaJoris Van der Jeugt

Harmonic oscillator chains as Wigner quantum systems: Periodic and fixed wall boundary conditions in gl(1 vertical bar n) solutions

Stijn LievensNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Spectrum generating functions for non-canonical quantum oscillators

Stijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

The Wigner distribution function for the one-dimensional parabose oscillator

Elchin JafarovStijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

The paraboson Fock space and unitary irreducible representations of the Lie superalgebra osp(1 vertical bar 2n)

Stijn LievensNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in COMMUNICATIONS IN MATHEMATICAL PHYSICS

The parafermion Fock space and explicit so(2n+1) representations

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Unitary representations of the Lie superalgebra osp(1|2n) and parabosons

Stijn LievensNedialka StoilovaJoris Van der Jeugt

A2 Journal Article in Bulgarian Journal of Physics

2007

Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra gl(1 vertical bar n) and applications

Stijn LievensNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Symmetry groups of Bailey's transformations for (10)phi(9)-series

Stijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Wigner function of a q-deformed harmonic oscillator model

EI JAFAROVStijn LievensSM NAGIYEVJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2006

Composite supersymmetric S-functions and characters of gl(m|n) representations

Els MoensJoris Van der Jeugt

A2 Journal Article in Bulgarian Journal of Physics

Harmonic oscillators coupled by springs: Discrete solutions as a Wigner quantum system

Stijn LievensNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Invariance groups of three term transformations for basic hypergeometric series

Stijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Lie superalgebraic framework for generalization of quantum statistics

Nedialka StoilovaJoris Van der Jeugt

A2 Journal Article in Bulgarian Journal of Physics

Representations of the Lie superalgebra gl(1 vertical bar n) in a Gel'fand-Zetlin basis and Wigner quantum oscillators

RC KINGNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

2005

A classification of generalized quantum statistics associated with basic classical Lie superalgebras

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

A classification of generalized quantum statistics associated with classical Lie algebras

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Fundamental Fermions fit inside one su(1 vertical bar 5) irreducible representation

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Lie algebraic generalization of quantum statistics

Nedialka StoilovaJoris Van der Jeugt

Solutions of the compatibility conditions for a Wigner quantum oscillator

Nedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

The N-particle Wigner Quantum Oscillator: non-commutative coordinates and physical properties

R KINGT PALEVNedialka StoilovaJoris Van der Jeugt

2004

A character formula for atypical critical gl(m/n) representations labelled by composite partitions

Els MoensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

On characters and dimension formulas for representations of the Lie superalgebra gl(m|n)

Els MoensJoris Van der Jeugt

On dimension formulas for g[(m|n) representations

Els MoensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF LIE THEORY

On the N-particle Wigner Quantum Oscillator: Non-commutative coordinates and particle localisation

RC KINGTD PALEVNedialka StoilovaJoris Van der Jeugt

On the n-Particle Wigner Quantum Oscillator: Noncommutative Coordinates and Particle Localisation

R KINGT PALEVNedialka StoilovaJoris Van der Jeugt

2003

3nj-coefficients and orthogonal polynomials of hypergeometric type

Joris Van der Jeugt

A1 Journal Article in ORTHOGONAL POLYNOMIALS AND SPECIAL FUNCTIONS

A determinantal formula for supersymmetric Schur polynomials

Els MoensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF ALGEBRAIC COMBINATORICS

A non-commutative n-particle 3D Wigner quantum oscillator

R KINGT PALEVNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

K. Srinivasa Rao and his work

W VAN ASSCHEGuido Vanden BergheJoris Van der Jeugt

Macroscopic properties of A-statistics and A-superstatistics

TD PALEVJoris Van der Jeugt

A1 Journal Article in GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES

Microscopic and macroscopic properties of A-superstatistics

TD PALEVNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Multivariable orthogonal polynomials associated with tensor products of the oscillator algebra b(1)

Stijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Quasiboson representations of sl(n+1) and generalized quantum statistics

T PALEVJoris Van der Jeugt

Realizations of coupled vectors in the tensor product of representations of su(1,1) and su(2)

Stijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator

R KINGT PALEVNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

2002

3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables

Stijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Deformed Jacobson generators of the algebra U_q[sl(n+1)] and their Fock representations.

TD PALEVNedialka StoilovaJoris Van der Jeugt

Jacobson generators of (quantum) sl(n+1|m). Related statistics.

TD PALEVNedialka StoilovaJoris Van der Jeugt

Jacobson generators of the quantum superalgebra U-q[sl(n+1 vertical bar m)] and Fock representations.

TD PALEVNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Jacobson generators, Fock representations and statistics of sl(n+1).

TD PALEVJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

On the diameter of the rotation graph of binary coupling trees

Veerle FackStijn LievensJoris Van der Jeugt

A1 Journal Article in DISCRETE MATHEMATICS

Transformation formula for a double Clausenian hypergeometric series, its q-analogue, and its invariance group.

Joris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2001

Macroscopic properties of A-statistics.

A JELLALTD PALEVJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Realizations of the Lie superalgebra q(2) and applications.

N DEBERGHJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

The invariance groups of certain single and double hypergeometric series.

Joris Van der Jeugt

Transformation formulas for double hypergeometric series related to 9-j coefficients and their basic analogs

Stijn LievensJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

2000

A new description of the quantum superalgebra Uq[sl(n+1|m)] and related Fock representations.

TD PALEVNedialka StoilovaJoris Van der Jeugt

Fock representations of the Lie superalgebra q(n+1).

TD PALEVJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Fock representations of the superalgebra sl(n+1 vertical bar m), its quantum analogue U-q[sl(n+1 vertical bar m)] and related quantum statistics.

TD PALEVNedialka StoilovaJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Hypergeometric series related to the 9-j coefficient of su(1,1).

Joris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

1999

Bilinear generating functions for orthogonal polynomials.

HT KOELINKJoris Van der Jeugt

A1 Journal Article in CONSTRUCTIVE APPROXIMATION

Characters and composition factor multiplicities for the Lie superalgebra gl(m/n).

RB ZHANGJoris Van der Jeugt

A1 Journal Article in LETTERS IN MATHEMATICAL PHYSICS

Invariance groups of transformations of basic hypergeometric series.

Joris Van der JeugtKS RAO

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

On bounds for the rotation distance between binary coupling trees

Veerle FackStijn LievensJoris Van der Jeugt

On rotation distance between binary coupling trees and applications for 3nj-coefficients

Veerle FackStijn LievensJoris Van der Jeugt

A1 Journal Article in COMPUTER PHYSICS COMMUNICATIONS

1998

Convolutions for orthogonal polynomials from Lie and quantum algebra representations.

HT KOELINKJoris Van der Jeugt

A1 Journal Article in SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Realizations of su(1,1) and U-q(su(1,1)) and generating functions for orthogonal polynomials.

Joris Van der JeugtR JAGANNATHAN

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra U-h(sl(2)).

Joris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Transformations of single and double hypergeometric series from the triple sum series for the 9-j coefficient.

KS RAOJoris Van der Jeugt

A1 Journal Article in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

1997

A Laguerre polynomial identity : problem 97-5 posed by C.C. Grosjean and J Van der Jeugt

Joris Van der JeugtCarl Grosjean

A2 Journal Article in SIAM REVIEW

A hermite polynomial identity : problem 96-12 posed by J. Van der Jeugt and C.C. Grosjean (Solution by Robin Chapman pp.)

Joris Van der JeugtCarl Grosjean

A2 Journal Article in SIAM REVIEW

Orthogonal polynomial identities from tensor product decompositions

Joris Van der Jeugt

Racah coefficients, general recoupling coefficients and graph theoretical methods

Veerle FackN PitreJoris Van der Jeugt

The Jordanian deformation of SU(2) and Clebsch-Gordan coefficients.

Joris Van der Jeugt

A1 Journal Article in CZECHOSLOVAK JOURNAL OF PHYSICS

Transformation and summation formulas for multiple hypergeometric series, and the 9-j coefficient

Joris Van der JeugtSN PitreK Srinivasa Rao

1996

Generalized parabosons and polynomial deformations of osp(l/2)

Joris Van der Jeugt

Wigner's 9-j coefficient and its relation to new summation theorems for hypergeometric series

SN PITREJoris Van der Jeugt

1994

Adjoint boson realization of SU(N) and a family of structural zeros of 6j coefficients.

Joris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Deformed u(3) algebra in an so q(3) basis

Joris Van der Jeugt

A2 Journal Article in JOURNAL OF GROUP THEORY IN PHYSICS

1993

Dynamic algebra of the q-deformed 3-dimensional oscillator

Joris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Subalgebras of quantum enveloping algebras and applications

Joris Van der Jeugt

1991

Algorithms for generating labelled graphs with given degree

Veerle FackJoris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Pragacz identity and a new algorithm for Littlewood-Richardson coefficients

Joris Van der JeugtVeerle Fack

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

Unimodal polynomials associated with Lie algebras and Lie superalgebras

J.W.B. HUGHESJoris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

1982

A special property of the relations connecting quadratic products of R3 shift operators

Guido Vanden BergheHans De MeyerJoris Van der Jeugt

A1 Journal Article in LETTERE AL NUOVO CIMENTO

1981

Shift operator techniques for the classification of multipole-phonon states. IX. Properties of nonscalar R(3) product operators in the $G_2$ group.

Guido Vanden BergheHans De MeyerJoris Van der Jeugt

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Subalgebras of quantum enveloping algebras and applications. Abstracts of the XlXth Intern. Colloquium on Group Theoretical Methods in Physics Salamanca (Spanje), juni 1992.

Joris Van der Jeugt

q-generalised Hermite polynomials as quantum group boson states. Abstracts van de NFWO contactgroep Speciale Functies en Toepassingen, Leuven, april 1992.

Joris Van der Jeugt