Advancements in Mathematical Physics: Quantum–Mathematics Interfaces

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 30 January 2026 | Viewed by 2

Special Issue Editor


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Guest Editor
National Laboratory of Frascati (INFN-LNF), National Institute for Nuclear Physics, Frascati, Italy
Interests: mathematical physics; quantum physics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue aims to explore the deep and evolving interplay between mathematics and physics, focusing on rigorous approaches to foundational and contemporary problems. We invite contributions that develop or apply mathematical frameworks to address key questions in physics, ranging from quantum mechanics, quantum field theory, and statistical mechanics to emerging areas like quantum computing and non-commutative geometry.

The Issue encourages submissions that not only employ mathematical tools to illuminate physical theories but also highlight how physical insights inspire new mathematical structures. Topics of interest include, but are not limited to, the following: operator algebra, spectral theory, integrable systems, differential geometry in gauge theories, and the mathematical formulation of quantum gravity.

Our goal is to facilitate cross-disciplinary dialogue and provide a platform for researchers working at the intersection of mathematics and physics. We aim to promote the advancement of both fields through the shared language and perspective that our platform provides.

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 modelling
  • quantum field theory
  • interdisciplinary research
  • advanced quantum applications

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Published Papers

This special issue is now open for submission.
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