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quant-ph2010★ 7 cited
Bound state energies and phase shifts of a non-commutative well
J. D. Thom, F. G. Scholtz
Non-commutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on non-commutative configuration space. Within this…
quant-ph2006★ 31 cited
Moyal products -- a new perspective on quasi-hermitian quantum mechanics
FG Scholtz, HB Geyer
The rationale for introducing non-hermitian Hamiltonians and other observables is reviewed and open issues identified. We present a new approach based on Moyal products to compute…