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Dynamical nonlocality in quantum time via modular operators

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.

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DOI:
Digital Object Identifier (open in new tab) 10.1103/PhysRevA.105.042207
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Copyright (2022 American Physical Society)

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Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
PHYSICAL REVIEW A no. 105,
ISSN: 2469-9926
Language:
English
Publication year:
2022
Bibliographic description:
Paiva I. L., Nowakowski M., Cohen E.: Dynamical nonlocality in quantum time via modular operators// PHYSICAL REVIEW A -Vol. 105,iss. 4 (2022), s.042207-
DOI:
Digital Object Identifier (open in new tab) 10.1103/physreva.105.042207
Sources of funding:
  • COST_FREE
Verified by:
Gdańsk University of Technology

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