Mathematical Physics Research at the Cutting Edge
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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On the Group Structure of the KalbRamond Gauge Symmetry and Spinor Representations
Group Theoretical Interpretation of the CPTTheorem
Cross Recurrence Plots and Their Applications
Analytical Solutions of the Radiative Transfer Equation in OneDimensional Spherical Geometry with Central Symmetry
Abelian albedo analogous analysis angular derivative antiautomorphism anticommute automorphism group boundary condition Clifford algebra coefficients commutes complex symmetric conjugate consider corresponding cosh cross recurrence plots defined diagonal differential dimensional discrete ordinates equations discrete symmetries division ring eigenvalue Euler angles exist Ext(Cn finite group flux geometry graphs Hilbert manifold Hilbert space hyperspherical functions identical infinite-dimensional integral isomorphism linear Lorentz group manifold Marwan mathematical matrix matrix elements method non-Abelian obtain opacities operator parameters pellet permutation conditions phase space phase space trajectory Phys Physics Poincare group problem pseudoantiautomorphism pseudoautomorphism quadrature quantum game theory Radial position radius real skewsymmetric matrices recurrence plots signature sinh solution space H specific intensity sphere spherical functions spinbasis spinor representation starter intensity strategies string basis structure subalgebras subgroup surface tensor Theorem total intensity transfer equation vacuum vectors