Dynamical symmetries inq-deformed quantum mechanics

Won Sang Chung, HASSAN HASSANABADI

André Lichnerowicz

A. Lavagno, G. Gervino

Starting on the basis of q-deformed calculus and q-symmetric oscillator algebra, we introduce a generalized Schrödinger equation which admits factorized time-space solutions and the free plane wave functions can be expressed in terms of the so-called basic-hypergeometric functions. In this framework, q-deformed adjoint and q-hermitian operator properties occur i a natural way in order to satisfy the fundamental quantum mechanics asumptions.

Victor Guillemin, Shlomo Sternberg

G Vinod, K Babu Joseph, K M Valsamma

B. Vitale