Coherent States for Unusual Potentials

Details Coherent States for Unusual Potentials Coherent States for Unusual Potentials

2001-12-21

arxiv.org/abs/quant-ph/0112142v1

Mod. Phys. Lett. A 16 (2001) 2305

Physics

Quantum Physics

10 pages, 3 figures, added info in Ref. 4

Scientific paper

10.1142/S0217732301005746

The program to construct minimum-uncertainty coherent states for general potentials works transparently with solvable analytic potentials. However, when an analytic potential is not completely solvable, like for a double-well or the linear (gravitational) potential, there can be a conundrum. Motivated by supersymmetry concepts in higher dimensions, we show how these conundrums can be overcome.

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