Functional Analysis, Topology and Quantum Mechanics, 3rd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 28 February 2025 | Viewed by 908

Special Issue Editors


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Guest Editor
Department of Mathematics, College of Engineering, Universidad de Cádiz, 11510 Puerto Real, Spain
Interests: functional analysis; algebra; geometry; topology
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Guest Editor
Department of Mathematics, Universidad de Cádiz, 11510 Puerto Real, Cadiz, Spain
Interests: Lie symmetries; partial differential equations; nonlocal symmetries

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Guest Editor
Department of Mathematics, Universidad de Cádiz, 11510 Puerto Real, Cadiz, Spain
Interests: Lie theory

Special Issue Information

Dear Colleagues,

The scope of this Special Issue deals with the strong interaction between the operator theory and the geometry of Banach spaces and topological vector spaces. Applications of the two aforementioned theories to quantum systems are very welcome. Moreover, this Special Issue deals with partial differential equations and algebraic structures that govern physical phenomena, especially, quantum mechanics phenomena.

Prof. Dr. Francisco Javier Garcia-Pacheco
Prof. Dr. Rafael de la Rosa Silva
Prof. Dr. José María Sánchez Delgado
Guest Editors

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Keywords

  • banach spaces and algebras
  • Hilbert spaces
  • Selfadjoint operator
  • convexity and smoothness
  • algebras of continuous functions
  • measure spaces
  • non-associative algebras
  • Lie algebras
  • effect algebras
  • series and summability
  • poisson algebras
  • partial differential equations
  • quantum systems
  • probability density operator
  • unbounded observables

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Published Papers (1 paper)

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Research

8 pages, 1320 KiB  
Article
C-Semigroups and Their Induced Order
by Daniel Marín-Aragón and Raquel Tapia-Ramos
Mathematics 2024, 12(18), 2889; https://doi.org/10.3390/math12182889 - 16 Sep 2024
Viewed by 514
Abstract
Let CNp be an integer polyhedral cone. An affine semigroup SC is a C-semigroup if |CS|<+. This structure has always been studied using a monomial order. The main issue [...] Read more.
Let CNp be an integer polyhedral cone. An affine semigroup SC is a C-semigroup if |CS|<+. This structure has always been studied using a monomial order. The main issue is that the choice of these orders is arbitrary. In the present work, we choose the order given by the semigroup itself, which is a more natural order. This allows us to generalise some of the definitions and results known from numerical semigroup theory to C-semigroups. Full article
(This article belongs to the Special Issue Functional Analysis, Topology and Quantum Mechanics, 3rd Edition)
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