Conceptual Inconsistencies of Finite-dimensional Quantum and Classical Dynamics

Details Conceptual Inconsistencies of Finite-dimensional Quantum and Classical Dynamics Conceptual Inconsistencies of Finite-dimensional Quantum and Classical Dynamics

2011-12-15

arxiv.org/abs/1112.3679v1

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

By attempting to derive the finite-dimensional quantum and classical mechanics within the recently develop technique of Ehrenfest quantization [D. I. Bondar at al. (2011) arXiv:1105.4014], we demonstrate that no finite-dimensional quantum and classical dynamics satisfy the Ehrenfest theorems. Non-Hermitian dynamics is shown to suffer from the same problems. Other peculiarities, such as the non-existence of the free particle case and the ambiguity in defying potential forces, are exposed

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