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Project: Exactly solvable harmonic oscillator models based on the finite-difference approach

project duration
01-OCT-09 – 31-MAR-10
abstract
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.