On the Deformed Algebras Applications to Quantum Physics

Fuente: arXiv
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Autores principales: Quiceno, Julio Cesar Jaramillo, Nechev, Plamen Neytchev
Formato: Preprint
Publicado: 2025
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author Quiceno, Julio Cesar Jaramillo
Nechev, Plamen Neytchev
author_facet Quiceno, Julio Cesar Jaramillo
Nechev, Plamen Neytchev
contents Some possible applications of deformed algebras to Quantum Physics are considered based on a rigorous approach. Jackson integrals are expressed in the context of the equipped separable Hilbert space. Jackson integrals are expressed in the context of the equipped separable Hilbert spaces using point measures where possible. Along the way, certain errors and/or inaccuracies made by different authors of the cited references have been corrected. A brief analysis at the end of the article indicates that there are still problems in applying deformed algebras to Quantum Mechanics and Field Theory.
format Preprint
id arxiv_https___arxiv_org_abs_2504_04606
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Deformed Algebras Applications to Quantum Physics
Quiceno, Julio Cesar Jaramillo
Nechev, Plamen Neytchev
Mathematical Physics
Some possible applications of deformed algebras to Quantum Physics are considered based on a rigorous approach. Jackson integrals are expressed in the context of the equipped separable Hilbert space. Jackson integrals are expressed in the context of the equipped separable Hilbert spaces using point measures where possible. Along the way, certain errors and/or inaccuracies made by different authors of the cited references have been corrected. A brief analysis at the end of the article indicates that there are still problems in applying deformed algebras to Quantum Mechanics and Field Theory.
title On the Deformed Algebras Applications to Quantum Physics
topic Mathematical Physics
url https://arxiv.org/abs/2504.04606