New topics in mathematical physics research /
Clasificación: | Libro Electrónico |
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Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Nova Science Publishers, Inc.,
[2009]
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- NEW TOPICS IN MATHEMATICALPHYSICS RESEARCH; CONTENTS; PREFACE; NONTRIVIAL SYMMETRIES OF dQrevAND EQUILIBRIUM THERMODYNAMICS; Abstract; 1 Introduction; 2 Symmetry and Pfaffian Forms; 3 Algebraic Structure of Symmetries of w; 4 A General Framework for Thermodynamics; 4.1 Pfaffian Form and Fundamental Equation; 4.2 General Properties of S; 4.3 Closure Properties of the Domain [16]; 4.4 m(S) Z(T); 4.5 Pfaffian Form and Symmetries; 5 Existence of a "Local" Nondegenerate Nontrivial Symmetryin Thermodynamics; 5.1 Transverse Symmetry and Integrating Factors.
- 11.1 Possible Ambiguities11.2 Generalized Gibbs-Duhem Equation; 11.3 From the Entropy to the Energy Representation; 11.4 Legendre Transforms; 11.5 Newtonian Gravity and General Relativity. A Model of Hertel, Narnhofer and Thirring, Chavanis' Studies, and Thermal Geons; 11.5.1 HNT Model; 11.5.2 Chavanis' Studies; 11.5.3 The Thermal Geon; 11.6 The Black Hole Case; 12 Conclusions; References; SUPERSELECTION RULES INDUCEDBY INFRARED DIVERGENCE; Abstract; 1 Introduction; 2 Induced Superselection Rules; 2.1 General Considerations; 2.2 Models; 3 The Interaction with a Boson Field; 3.1 The Hamiltonian.
- 3.2 Coherent States as Reference State3.3 Arbitrary Normal States as Initial State; 3.4 KMS States as Reference States; 4 Scattering Processes; 5 Conclusion; A Estimates of Operators; B The van Hove Model; B.1 The Hamiltonian; B.2 Evaluation of the Traces; References; RIEMANN SURFACES OF SOME STATICDISPERSION RELATION AND PROJECTIVE SPACES; Abstract; 1 Introduction; 2 Analytic Continuation of the S-Matrixto Nonphysical Sheets; 3 Formulation of the Problem in Projective Spaces; 4 Conclusion; Appendix 1; Appendix 2; References; THE LIE DERIVATIVE OF SPINOR FIELDS:THEORY AND APPLICATIONS.
- AbstractIntroduction; 1 Principal Bundles; 2 Reductive G-structures and their Prolongations; 3 Gauge-Natural Bundles; 4 Split Structures on Principal Bundles; 5 Lie Derivatives on Reductive G-structures; 6 The G-Killing Condition; 7 Penrose's Lie Derivative of "Spinor Fields"; 8 An Application to the Calculus of Variations; Conclusions; References; TOWARDS THE QUANTUM ELECTRODYNAMICSON THE POINCARÉ GROUP; Abstract; 1 Introduction; 2 The Group SU(2); 2.1 Harmonic Analysis on the Group SU(2); 3 The Group SU(1,1); 3.1 Harmonic Analysis on the Group SU(1,1); 4 The Group SL(2,C).