Advances in Mathematical Physics

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


Publishing date
15 Sep 2010
Status
Published
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

Description

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 http://www.hindawi.com/journals/amp/guidelines.html. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2010
  • - Article ID 497040
  • - Editorial

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

M. Norbert Hounkonnou | S. Twareque Ali | ... | Akira Yoshioka
  • Special Issue
  • - Volume 2010
  • - Article ID 280362
  • - Review Article

Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics

Rudolf Schmid
  • Special Issue
  • - Volume 2010
  • - Article ID 191529
  • - Review Article

New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models

John R. Klauder
  • Special Issue
  • - Volume 2010
  • - Article ID 270694
  • - Review Article

Recent Developments in Instantons in Noncommutative 𝟒

Akifumi Sako
  • Special Issue
  • - Volume 2010
  • - Article ID 457635
  • - Review Article

The Partial Inner Product Space Method: A Quick Overview

Jean-Pierre Antoine | Camillo Trapani
  • Special Issue
  • - Volume 2010
  • - Article ID 107857
  • - Review Article

Instantons, Topological Strings, and Enumerative Geometry

Richard J. Szabo
  • Special Issue
  • - Volume 2010
  • - Article ID 956128
  • - Research Article

Arnold's Projective Plane and 𝑟 -Matrices

K. Uchino
  • Special Issue
  • - Volume 2010
  • - Article ID 941560
  • - Research Article

Renormalization, Isogenies, and Rational Symmetries of Differential Equations

A. Bostan | S. Boukraa | ... | N. Abarenkova
  • Special Issue
  • - Volume 2010
  • - Article ID 927280
  • - Review Article

Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results

Martin Schlichenmaier
  • Special Issue
  • - Volume 2010
  • - Article ID 146719
  • - Research Article

A Lie Algebroid on the Wiener Space

Rémi Léandre
Advances in Mathematical Physics
 Journal metrics
Acceptance rate24%
Submission to final decision37 days
Acceptance to publication39 days
CiteScore1.300
Impact Factor1.130
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