Dynamical evolution of the projector induced from the generalized squeezed state. (English) Zbl 0811.35103
Summary: The quantum and classical time evolution of the approximate simultaneous observable on phase space (it is merely called a projector) induced from the generalized squeezed state is considered herein. The purpose of this article is to give a trace norm estimate of the difference between these two types of time evolutions of the projectors. As a consequence of this result, it is shown that this trace norm estimate converges to 0 as \(\hbar \to 0\).
MSC:
| 35Q40 | PDEs in connection with quantum mechanics |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 35S05 | Pseudodifferential operators as generalizations of partial differential operators |
References:
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| [7] | Arai T., Ann. Inst. Henri Poincaré 59 (1993) |
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