Advances in Mathematical Methods of Quantum Mechanics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 1151
Special Issue Editor
Interests: quantum optics; cavity quantum electrodynamics; symmetries of differential equations of physics; computer science; artificial intelligence
Special Issue Information
Dear Colleagues,
This Special Issue welcomes contributions across the following three interconnected areas of mathematical quantum mechanics:
Theoretical Foundations invites papers advancing rigorous mathematical structures underlying quantum phenomena, including operator theory innovations, spectral analysis, functional analysis approaches, and geometric methods. We seek developments in quantum field theory mathematics, non-commutative geometry applications, infinite-dimensional Hilbert space problems, topological quantum states, and category-theoretic formulations.
Computational Methods focuses on cutting-edge numerical techniques for complex quantum problems, including quantum simulation algorithms, machine learning applications, tensor network methods, quantum Monte Carlo innovations, density functional theory developments, and variational quantum algorithms addressing scalability challenges in quantum chemistry and condensed matter physics.
Emerging Applications explores mathematical frameworks enabling quantum technologies and interdisciplinary connections, encompassing quantum information theory, quantum computing algorithms, quantum cryptography, quantum sensing, quantum machine learning, and quantum-inspired classical methods spanning quantum biology to quantum economics.
All contributions should demonstrate mathematical sophistication while advancing practical understanding of quantum phenomena across these complementary research directions.
We look forward to receiving your contributions.
Dr. Maciej W. Janowicz
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 250 words) can be sent to the Editorial Office for assessment.
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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 methods
- computational quantum physics
- quantum information theory
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