Abstract
Utilizing operational dynamic modeling, 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.
| Original language | English (US) |
|---|---|
| Article number | 012116 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 88 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 16 2013 |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
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