## Mathematical Physics Research at the Cutting EdgePhysics 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

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 |

### Common terms and phrases

algebra analysis angular anticommute application approach assume automorphism basis boundary condition called changes commutes complex consider contains coordinate corresponding cosh defined definition derivative diagonal differential direction discrete ordinates elements equation example exist expression field Figure finite flux formalism functions Further geometry given graphs Hilbert space hyperspherical functions identical integral intensity isomorphism linear Lorentz group manifold mathematical matrix measures method natural obtain operator parameters particular pellet phase space Phys Physics position possible present problem processes quantum game quantum mechanics radiation recurrence plots reduced relations representation represented respectively result ring satisfy shown shows signature sinh solution specific sphere spherical spinbasis spinor strategies string structure subgroup surface symmetric tensor Theorem theory trajectory transfer equation transformations turn values vectors