Mathematical Foundations for Physical Sciences
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 31 March 2026 | Viewed by 13
Special Issue Editors
Interests: nuclear physics; quantum field theory; gauge field theory in non-covariant gauges; quantum relativity; light-front dynamics
Special Issue Information
Dear Colleagues,
The fundamental mathematics of physics encompasses the core mathematical concepts and methods essential for understanding and advancing theoretical physics. It provides researchers with the analytical tools needed to describe, model, and quantify natural phenomena through a rigorous mathematical framework.
The fundamentals of mathematics include the study of numbers, operations, structures, patterns, and change. In parallel, the fundamentals of physics involve the investigation of natural laws and their mathematical representations. Together, they form the basis for interpreting and predicting the properties and dynamics of physical systems.
Mathematical physics lies at the intersection of these disciplines. It applies mathematical structures and techniques to solve physical problems and develop coherent theoretical models of the natural world. This field plays a central role in areas such as classical mechanics, electromagnetism, quantum field theory, statistical mechanics, and atomic and molecular physics.
Key mathematical tools in this context include vector spaces, matrix algebra, differential and integral equations, complex variables, infinite series, and integral transforms. These methods are indispensable for both theoretical exploration and practical application in physics and engineering.
While mathematical physics, applied mathematics, and theoretical physics often overlap, mathematical physics is distinguished by its focus on the mathematical formulation of physical theories. It serves as a bridge between abstract mathematical reasoning and the empirical foundations of physics.
In summary, the fundamentals of mathematics and physics are an interdisciplinary domain that equips researchers with the conceptual and technical means to explore, understand, and model the physical universe.
You may refer to the following:
https://www.mdpi.com/journal/axioms/special_issues/Soft_Computing_Decision_Making
https://www.mdpi.com/journal/axioms/special_issues/singularly_perturbed_problems
Dr. Jorge Henrique de Oliveira Sales
Dr. Oliver Fischer
Guest Editors
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
- special relativity
- relativistic quantum mechanics
- bound state
- computational mathematical modeling
- functional methods
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