Functional integration and quantum physics Barry Simon.
Series Pure and applied mathematics (Academic Press) ; 86.Detalles de publicación: New York Academic Press 1979.Descripción: ix, 296 p. 24 cmISBN:- 0126442509
- 510/.8 s 530.1/5
- QA3 .P8 vol. 86 QC20.7.F85
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Based on lectures given by the author at a consortium in Lausanne, Switzerland, 1977.
Includes index.
Bibliography: p. 279-292.
Tabla de contenidos provista por Syndetics
- Preface to Second Edition(p. vii)
- Preface(p. ix)
- List of Symbols(p. xi)
- I Introduction
- 1 Introduction(p. 1)
- 2 Construction of Gaussian Processes(p. 8)
- 3 Some Fundamental Tools of Probability Theory(p. 17)
- II The Basic Processes
- 4 The Wiener Process, the Oscillator Process, and the Brownian Bridge(p. 32)
- 5 Regularity Properties-1(p. 43)
- 6 The Feynman-Kac Formula(p. 48)
- 7 Regularity and Recurrence Properties-2(p. 60)
- III Bound State Problems
- 8 The Birman-Schwinger Kernel and Lieb's Formula(p. 88)
- 9 Phase Space Bounds(p. 93)
- 10 The Classical Limit(p. 105)
- 11 Recurrence and Weak Coupling(p. 114)
- IV Inequalities
- 12 Correlation Inequalities(p. 119)
- 13 Other Inequalities: Log Concavity, Symmetric Rearrangement, Conditioning, Hypercontractivity(p. 136)
- V Magnetic Fields and Stochastic Integrals
- 14 Ito's Integral(p. 148)
- 15 Schrodinger Operators with Magnetic Fields(p. 159)
- 16 Introduction to Stochastic Calculus(p. 170)
- VI Asymptotics
- 17 Donsker's Theorem(p. 174)
- 18 Laplace's Method in Function Space(p. 181)
- 19 Introduction to the Donsker-Varadhan Theory(p. 198)
- VII Other Topics
- 20 Perturbation Theory for the Ground State Energy(p. 211)
- 21 Dirichlet Boundaries and Decoupling Singularities in Scattering Theory(p. 224)
- 22 Crushed Ice and the Wiener Sausage(p. 231)
- 23 The Statistical Mechanics of Charged Particles with Positive Definite Interactions(p. 245)
- 24 An Introduction to Euclidean Quantum Field Theory(p. 252)
- 25 Properties of Eigenfunctions, Wave Packets, and Green's Functions(p. 258)
- 26 Inverse Problems and the Feynman-Kac Formula(p. 272)
- References(p. 279)
- Index(p. 293)
- Bibliographic Supplement(p. 297)
- Bibliography(p. 301)