Mathematical Physics Research at the Cutting Edge

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Nova Publishers, 2004 - Mathematics - 272 pages
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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 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. 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 book presents leading-edge research in this fast-moving field. Structure of the Kalb-Ramond Gauge Symmetry and Spinor Representations; Group Theoretical Interpretation of CPT-Theorem; Cross Recurrence Plots and Their Applications; Analytical Solutions of the Radiative Transfer Equation in One-dimensional Spherical Geometry With Central Symmetry; Hyperspherical Functions and Harmonic Analysis on the Lorentz Group; The Next Stage: Quantum Game Theory; Index.
 

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Contents

Coordinate Formalism on Hilbert Manifolds
1
On the Group Structure of the KalbRamond Gauge Symmetry and Spinor Representations
35
Group Theoretical Interpretation of the CPTTheorem
51
Cross Recurrence Plots and Their Applications
101
Analytical Solutions of the Radiative Transfer Equation in OneDimensional Spherical Geometry with Central Symmetry
141
Hyperspherical Functions and Harmonic Analysis on the Lorentz Group
189
Quantum Game Theory
247
Index
269
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