English

Dynamical nonlocality in quantum time via modular operators

Quantum Physics 2022-04-12 v2

Abstract

We formalize the concept of the modular energy operator within the Page and Wootters timeless framework. As a result, this operator is elevated to the same status as the more studied modular operators of position and momentum. In analogy with dynamical nonlocality in space associated with the modular momentum, we introduce and analyze the nonlocality in time associated with the modular energy operator. Some applications of our formalization are provided through illustrative examples.

Keywords

Cite

@article{arxiv.2104.09321,
  title  = {Dynamical nonlocality in quantum time via modular operators},
  author = {Ismael L. Paiva and Marcin Nowakowski and Eliahu Cohen},
  journal= {arXiv preprint arXiv:2104.09321},
  year   = {2022}
}

Comments

Author's accepted version in Physical Review A

R2 v1 2026-06-24T01:19:45.171Z