The Advancement in Mathematical and Quantum Physics

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Hilbert’s Sixth Problem".

Deadline for manuscript submissions: closed (5 April 2024) | Viewed by 460

Special Issue Editor


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Guest Editor
National Institute for Nuclear Physics-National Laboratory of Frascati (INFN-LNF), Frascati, Italy
Interests: mathematical physics; quantum physics

Special Issue Information

Dear Colleagues,

This Special Issue of the journal Axioms, titled "The Advancement in Mathematical and Quantum Physics", is poised to explore cutting-edge developments in the fields of mathematical and quantum physics". This Special Issue is dedicated to advancing the scholarly pursuit of mathematical physics, a discipline at the intersection of mathematics and the physical sciences. Our objective is to meticulously elucidate the profound and symbiotic relationship that exists between mathematical principles and their consequential applications in various branches of physics. We aspire to provide a comprehensive exploration of the multifaceted facets of mathematical physics, encompassing topics such as mathematical modeling, differential equations, and advanced mathematical methodologies tailored to describing and predicting physical phenomena.

Furthermore, we seek to delve deeply into the distinct realm of quantum physics, which stands as a pillar of modern physics. Our intent is to offer a comprehensive exposition of the foundational tenets of quantum theory, including quantum states, wavefunctions, operators, and the principles of quantum mechanics. Additionally, we aim to illuminate the intricate and often counterintuitive quantum phenomena, such as superposition, entanglement, and quantum measurement, shedding light on their significance in the quantum realm and their profound implications for our understanding of the physical universe.

Throughout this Special Issue, we will also explore the practical applications of these mathematical insights and quantum principles in diverse areas of physics and technology. By doing so, we endeavor to contribute to the scholarly discourse in both mathematical and quantum physics, fostering a deeper understanding of these captivating domains and their respective contributions to the advancement of scientific knowledge and technological innovation".


Scope and Purpose

This Special Issue aims to: Investigate recent breakthroughs and emerging trends in mathematical and quantum physics.
   Scope: Encompasses a wide range of topics, including quantum mechanics, quantum information, quantum field theory, mathematical modeling, and their intersection.
    Purpose: Provide a platform for researchers to share their insights, discoveries, and innovations in these fields.

Complementing Existing Literature

By addressing the most recent advancements and challenges, this Special Issue bridges gaps in the current literature. It enhances our understanding of mathematical methods' pivotal role in quantum physics and vice versa. By fostering collaboration between mathematicians and physicists, it contributes to the evolution of both disciplines.

Dr. Mostafa Behtouei
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • quantum mechanics
  • mathematical modeling
  • quantum field theory
  • interdisciplinary research
  • advanced quantum applications

Published Papers (1 paper)

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Research

13 pages, 3423 KiB  
Article
Photon-Added Deformed Peremolov Coherent States and Quantum Entanglement
by Kamal Berrada
Axioms 2024, 13(5), 289; https://doi.org/10.3390/axioms13050289 - 24 Apr 2024
Viewed by 213
Abstract
In the present article, we build the excitedcoherent states associated with deformed su(1,1) algebra (DSUA), called photon-added deformed Perelomov coherent states (PA-DPCSs). The constructed coherent states are obtained by using an alterationof the Holstein–Primakoff realization (HPR) for [...] Read more.
In the present article, we build the excitedcoherent states associated with deformed su(1,1) algebra (DSUA), called photon-added deformed Perelomov coherent states (PA-DPCSs). The constructed coherent states are obtained by using an alterationof the Holstein–Primakoff realization (HPR) for DSUA. A general method to resolve of the problem of the unitary operator was developed for these kinds of quantum states. The Mandel parameter is considered to examine the statistical properties of PA-DPCSs. Furthermore, we offer a physical method to generate the PA-DPCSs in the framework of interaction among fields and atoms. Finally, we introduce the concept of entangled states for PA-DPCSs and examine the entanglement properties for entangled PA-DPCSs. Full article
(This article belongs to the Special Issue The Advancement in Mathematical and Quantum Physics)
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