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|Abstract:||Utilizing operational dynamic modeling [D. I. Bondar et al., Phys. Rev. Lett. 109, 190403 (2012)], we demonstrate that any finite-dimensional representation of quantum and classical dynamics violates the Ehrenfest theorems. Other peculiarities are also revealed, including the nonexistence of the free particle and ambiguity in defining potential forces. Non-Hermitian mechanics is shown to have the same problems. This work compromises a popular belief that finite-dimensional mechanics is a straightforward discretization of the corresponding infinite-dimensional formulation.|
|Citation:||Bondar, Denys I., Cabrera, Renan, Rabitz, Herschel A. (2013). Conceptual inconsistencies in finite-dimensional quantum and classical mechanics. PHYSICAL REVIEW A, 88 (10.1103/PhysRevA.88.012116|
|Pages:||012116-1 - 012116-5|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||PHYSICAL REVIEW A|
|Version:||Final published version. Article is made available in OAR by the publisher's permission or policy.|
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