Tuesday, July 23, 2013

1112.3679 (Denys I. Bondar et al.)

Conceptual inconsistencies in finite-dimensional quantum and classical

Denys I. Bondar, Renan Cabrera, Herschel A. Rabitz
Utilizing operational dynamic modeling [Phys. Rev. Lett. 109, 190403 (2012); arXiv:1105.4014], 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.
View original: http://arxiv.org/abs/1112.3679

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