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Aspects of quantum field theory in curved space-time /
The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. Thi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1989.
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| Colección: | London Mathematical Society student texts ;
17. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Series Page; Title; Copyright; Contents; Preface; Chapter 1 A Quick Course in Quantum Mechanics; CLASSICAL MECHANICS: THE CANONICAL FORMALISM; QUANTUM STATES AND OBSERVABLES; QUANTUM DYNAMICS: THE HEISENBERG PICTURE; THE SCHRODINGER PICTURE; THE CONNECTION BETWEEN THE TWO PICTURES; THE CLASSICAL LIMIT; RESPECTIVE ADVANTAGES OF THE TWO PICTURES; Chapter 2 Self-Adjoint, Elliptic Differential Operators and Eigenfunction Expansions; DEFINITIONS; SELF-ADJOINT EXTENSIONS: THE CLASSIC EXAMPLES; THE SPECTRAL THEOREM; THE PROBLEM OF EIGENFUNCTION EXPANSION; THE WEYL-TITCHMARSH-KODAIRA THEORY
- SOLUTION TO EXERCISE 2Chapter 3 Quantization of a Static, Scalar Field Theory; POSITIVE-FREQUENCY SOLUTIONS; THE NEWTON-WIGNER POSITION OPERATOR; FOCK SPACE; FIELD OPERATORS; Chapter 4 Two-Point Functions; GREEN FUNCTIONS; TWO-POINT FUNCTIONS OF A QUANTUM FIELD; A DISTRIBUTIONAL TREATMENT; MATHEMATICAL INTERPRETATION OF SINGULARITIES; RECONSTRUCTION OF THE FIELD THEORY; Chapter 5 The Stress Tensor and the Casimir Effect; FIELD OBSERVABLES; THE CASIMIR EFFECT; CALCULATIONS OF ENERGY DENSITY; SOME HISTORY AND SOME CONTACT WITH THE REAL WORLD; LESSONS FROM THE CASIMIR EFFECT
- Chapter 6 Quantum Field Theory in General Space-TimesCANONICAL FORMALISM; GLOBAL HYPERBOLICITY; GENERAL CONSIDERATIONS; SPECIALIZATION OF THE GENERAL FORMALISM TO THE STATIC CASE; Chapter 7 Quantum Field Theory in an Expanding U ni verse; PRELIMIN ARIES; GENERAL BOGOLUBOV TRANSFORMATIONS; STIMULATED EMISSION; SPIN AND STATISTICS; PARTICLE OBSERVABLES AT FINITE TIMES; THE ADIABATIC APPROACH; Chapter 8 Some Geometrical Apparatus; COVARIANT DERIVATIVES; CURVATURE; PARALLEL TRANSPORT AND GEODESIC DISTANCE; COVARIANT POWER SERIES; RECURSIVE CALCULATIONS OF THE SYNGE-DEWITT TENSORS
- Chapter 9 Renormalization of the Stress TensorWALD'S AXIOMATIC ANALYSIS; HAMIDEW THEORY; THE HEAT KERNEL; FURTHER REMARKS ON THE HEAT KERNEL; HYPERBOLIC AND ELLIPTIC GREEN FUNCTIONS; VINDICATION: THE UNIVERSALITY THEOREM; RENORMALIZATION PRESCRIPTIONS; UNIQUENESS ISSUES; Conclusion; Appendix: Varieties of Instability of a Boson Field in an External Potential and Black Hole Klein Paradoxes; Abstract; Part One; Part Two; Acknowledgments; Bibliography; Index