Advances in Mathematical Physics

Nonlinear and Noncommutative Mathematics: New Developments and Applications in Quantum Physics

Publishing date
15 Sep 2010
Submission deadline
15 May 2010

1International Chair inMathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072 BP 50 Cotonou, Republic of Benin

2Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, QC, Canada H3G 1M8

3Departments of Mathematics and Physics, Rutgers - The State University of New Jersey, 118 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA

4Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, LPTMC, Tour 21, Boîte 121, 4, Place Jussieu, 75252 Paris Cedex 05, France

5Department of Mathematics, Science University of Tokyo, Tokyo 162-8601, Japan

6Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India

Nonlinear and Noncommutative Mathematics: New Developments and Applications in Quantum Physics


Nonlinear and Noncommutative Mathematics are rapidly developing versatile subjects. In the last decade, there have emerged new concepts and methods, and diverse applications in theoretical physics, particularly to the understanding of aspects of quantum theory and high-energy physics.

The rapid evolution of the mathematical foundations and tools, including new paradigms that are influencing our community and frameworks that can be generalized in many directions, suggests the value of a special issue devoted to such applications.

This special issue will focus on all aspects of Nonlinear and Noncommutative Mathematics, from their foundations to applications in theoretical physics. We invite authors to present original research articles as well as review articles that will be representative of the state of the art in the field. The topics to be covered include, but are not limited to:

  • Quantum field theory and noncommutative geometry
  • Coherent states and related representations
  • Quantum groups, algebras, and quantum special functions
  • Nonlinear partial differential equations

Before submission authors should carefully read over the journal's Author Guidelines, which are located at Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at according to the following timetable:

Advances in Mathematical Physics
 Journal metrics
See full report
Acceptance rate39%
Submission to final decision58 days
Acceptance to publication20 days
Journal Citation Indicator0.490
Impact Factor1.364

Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.