Quantum-Classical Correspondence of Dynamical Observables, Quantization and the Time of Arrival Correspondence Problem

Details Quantum-Classical Correspondence of Dynamical Observables, Quantization and the Time of Arrival Correspondence Problem Quantum-Classical Correspondence of Dynamical Observables, Quantization and the Time of Arrival Correspondence Problem

2000-09-08

arxiv.org/abs/quant-ph/0009029v3

Opt. and Specs. 91, (2001) 399

Physics

Quantum Physics

Scientific paper

10.1134/1.1405219

We raise the problem of constructing quantum observables that have classical counterparts without quantization. Specifically we seek to define and motivate a solution to the quantum-classical correspondence problem independent from quantization and discuss the general insufficiency of prescriptive quantization, particularly the Weyl quantization. We demonstrate our points by constructing time of arrival operators without quantization and from these recover their classical counterparts.

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