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Mathematical Physics Research Developments
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Editors: Morris B. Levy
Book Description:
Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead.This new book presents the latest research from around the globe in this field.

Please click on a chapter below to purchase separately

Chapter 1 - Partial Differential Equations as a Tool for Evaluation of the Continuous Wavelet Transform, pp. 1-36
Authors / Editors: (Eugene B. Postnikov, Humboldt Univ., Berlin/Kursk Univ.)

Chapter 2 - Semi-Lagrangian Vlasov Simulations of Laser-Plasma Interaction: Review and Advances, pp. 37-84
Authors / Editors: (A. Ghizzo, Nancy-Univ., Vandoeuvre les Nancy, France)

Chapter 3 - Invariant Varieties of Periodic Points, pp. 85-139
Authors / Editors: (Satoru Saito, Hakusan, Midori-ku, Yokohama, Japan, Noriko Saitoh, Dept. of Applied Mathematics, Yokohama National Univ., Hodogaya-ku, Yokohama, Japan)

Chapter 4 - Diagram Technique for Quantum Models with Internal Lie-Group Dynamics, pp. 141-188
Authors / Editors: (L.V. Lutsev, Research Institute "Ferrite-Domen", Chernigovskaya 8, Saint Petersburg, Russia)

Chapter 5 - Homological Quantum Field Theory, pp. 189-236
Authors / Editors: (Edmundo Castillo, Escuela de Matematicas, Univ. Central de Venezuela, Caracas, Venezuela, Rafael Diaz, Grupo de Fisica-Matematica, Univ. Experimental Politecnica de las Fuerzas Armadas, Caracas, Venezuela)

Chapter 6 - Classical and Quantum Chaotic States of A Nonautonomous System, pp. 237-262
Authors / Editors: (Wenhua Hai, Dept. of Physics, Hunan Normal Univ., Key Laboratory of Quantum Structure and Manipulation of Ministry of Education, Changsha, China)

Chapter 7 - Modeling Droplets in Electric Fields, pp. 263-297
Authors / Editors: (Dirk Langemann, Univ. of Lubeck, Institute of Mathematics, Lubeck, Germany)

Chapter 8 - Review of the Calculation of the Effective Potential at Finite Temperature and Volume, pp. 299-320
Authors / Editors: (V.K. Oikonomou, Dept. of Theoretical Physics Aristotle University of Thessaloniki, Thessaloniki, Greece)

Chapter 9 - Application of Multi-Dimensional Fourier Transforms to Tomography, pp. 321-370
Authors / Editors: (Natalie Baddour, Dept. of Mechanical Engineering, Univ. of Ottawa, Ottawa, Ontario, Canada)

Chapter 10 - Revisiting Renormalization Schemes in a Differential Equation Approach, pp. 371-378
Authors / Editors: (J.F. Yang, Dept. of Physics, East China Normal Univ., Shanghai, China)

Chapter 11 - Further Thoughts on Generalized JT Gravity and Soliton-Black Hole Correspondences, pp. 379-417
Authors / Editors: (Shabnam Beheshti, Dept. of Mathematics and Statistics, Univ. of Massachusetts, Amherst, Massachusetts)

Chapter 12 - Complex Metric, Torsion, Spin-Connection Gauge Field, and Gravitomagnetic Monopole, pp. 419-526
Authors / Editors: (Jian Qi Shen, Centre for Optical and Electromagnetic Research, Zhejiang Univ., Hangzhou, The People's Republic of China, Zhejian Institute of Modern Physics, Dept. of Physics, Yuquan Campus, Zhejiang Univ., Hangzhou, The People's Republic of China)
***Open Access Chapter. Free Download Available***

Chapter 13 - Defining the Dimension of A Complex Network and Zeta Functions, pp. 527-546
Authors / Editors: (O. Shanker, Hewlett Packard Company, San Diego, CA)

Chapter 14 - Basics in Noncommutative Geometry, pp. 547-560
Authors / Editors: (L. Monreal and J.M. Isidro, Grupo de Modelizaci'on Interdisciplinar Intertech, Instituto Univ. de Matematica Pura y Aplicada, Univ. Politecnica de Valencia, Valencia, Spain)

Chapter 15 - Periods of Abelian Varieties, Hypergeometric Functions and Trancedence, pp. 561-587
Authors / Editors: (Pierre-Antoine Desrousseaux, Univ. des Sciences et Technologie de Lille-Lille)

Chapter 16 - Combinatorial and Geometrical Structures of Multipartite Quantum Systems, pp. 589-604
Authors / Editors: (Hoshang Heydari, Quantum and Field Theory Group, Dept. of Physics, Stockholm Univ., AlbaNova Univ. Center, Stockholm, Sweden)

Chapter 17 - On the Relations among Nonlinear PDEs with Different Integrability Properties: C-S-,Ch-C- and Ch-S-integrable systems, pp. 605-619
Authors / Editors: (A.I. Zenchuk, Institute of Problems of Chemical Physics RAS, Chernogolovka, Moscow Region, Russia)

Chapter 18 - N-fold Supersymmetry and Quasi-Solvability, pp. 621-679
Authors / Editors: (Toshiaki Tanaka, Department of Physics, National Cheng Kung University, Tainan, Taiwan, National Center for Theoretical Sciences, Taiwan)

   Binding: Hardcover
   Pub. Date: 2009
   Pages: 690
   ISBN: 978-1-60456-963-6
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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