Quantum Integrable Systems: Mathematical Structures and Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 30 November 2026 | Viewed by 310
Editors
Interests: quantum algebras; quantum billiards; quantum scattering; quantum information; quantum computation; open systems
Interests: complex systems; statistical physics; chaotic dynamics; quantum walks
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
We would like to invite you to contribute to our upcoming Special Issue focused on a fundamental challenge in mathematical physics: rigorously defining quantum integrability. Exactly solvable models are crucial tools across diverse fields (from quantum information and spin chains to statistical mechanics); however, a universally standardized mathematical statement of quantum integrability is still missing. This Special Issue aims to bridge abstract formalism with physical applications by compiling papers that explicitly establish and explore the definition of integrability within their specific frameworks. We welcome original research and review articles to help us highlight these diverse approaches and work toward standardizing this core concept.
Quantum integrable systems stand at the intersection of rigorous mathematical physics and advanced physical applications. The focus of this Special Issue is to rigorously define quantum integrability, exploring the precise mathematical definitions and algebraic structures that govern exactly solvable models.
Its scope encompasses a broad range of foundational frameworks and their modern applications, including (but not limited to) the following:
- The dichotomy between integrable and chaotic dynamics;
- Quantum algebras and quantum groups;
- Spin chains;
- Exact quantum scattering, S-matrices and T-matrices;
- Exactly solvable models in statistical mechanics;
- Quantum billiards;
- Quantum information and quantum computation;
- Random Matrix.
The primary purpose of this Special Issue is to pursue a standardized mathematical statement of quantum integrability. To systematically bridge abstract mathematical formalism with tangible physical phenomena, all contributing articles must establish a clear definition of quantum integrability within their specific context. This Special Issue supplements the existing literature by highlighting the diverse definitions currently employed across the field, ultimately striving to unify and standardize the concept of quantum integrability.
Dr. Alan Maioli
Dr. Marcelo Pires
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 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-anonymized 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 integrable models
- quantum scattering
- quantization
- quantum many-body physics
- quantum algebras
- quantum groups
- spin chains
- quantum billiards
- quantum computation
- quantum information
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
