Research Explorer

Project

Exactly solvable harmonic oscillator models based on the finite-difference approach
Code
12CE0409
Duration
01 October 2009 → 31 March 2010
Funding
Federal funding: various
Research disciplines
  • Natural sciences
    • Analysis
    • Applied mathematics in specific fields
    • Astronomy and space sciences
    • Classical physics
    • Materials physics
    • Mathematical physics
    • Quantum physics
Keywords
q-oscillator quantum communication wigner-function
 
Project description
 

The q-deformed harmonic oscillator, for which the wave function satisfies a finite-difference equation, is considered. The parameter h (related to q) appears as the finite-difference step. Combining four wave functions in a compass state, leads to chessboard-type interferences. As a second topic, we investigate perfect state transfer in a chain of qubits, where the interaction is q-dependent and where q-special functions play a role.