Record ID

UAMea68e9e3bb97431d844dd8bf43d6a281

Author

Ziemowit Domański Ziemowit Domański,, Wydział Fizyki [nowa struktura organizacyjna] (SNŚ/WyF)Szkoła Nauk Ścisłych [nowa struktura organizacyjna] (SNŚ)

Maciej Błaszak Maciej Błaszak,, Zakład Fizyki Matematycznej i Modelowania Komputerowego [nowa struktura organizacyjna] (SNŚ/WyF/JBWF)Szkoła Nauk Ścisłych [nowa struktura organizacyjna] (SNŚ)

Journal series

Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, e-ISSN 1095-0753

Issue year

2021

Vol

25

No

1

Pages

59-100

ASJC Classification

2600 General Mathematics; 3100 General Physics and Astronomy

Abstract in original language

We develop a complete theory of non-formal deformation quantization exhibiting a nonzero minimal uncertainty in position. An appropriate integral formula for the star-product is introduced together with a suitable space of functions on which the star-product is well defined. Basic properties of the star-product are proved and the extension of the star-product to a certain Hilbert space and an algebra of distributions is given. A C∗-algebra of observables and a space of states are constructed. Moreover, an operator representation in momentum space is presented. Finally, examples of position eigenvectors and states of maximal localization are given.

DOI

DOI:10.4310/atmp.2021.v25.n1.a2 Opening in a new tab

Language

eng (en) English

Score (nominal)

100

Score source

journalList

Score

Ministerial score = 100.0, 14-05-2022, ArticleFromJournal

Publication indicators

WoS Citations = 0; Scopus SNIP: 2018 = 0.955; WoS Impact Factor: 2019 (2 years) = 2.405 - 2019 (5 years) =2.146

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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.