Functional Integration and Quantum Physics
- 1 Edición, Volumen 86 - 16 de noviembre de 1979
- Última edición
- Editor: Barry Simon
- Idioma: Inglés
It is fairly well known that one of Hilbert’s famous list of problems is that of developing an axiomatic theory of mathematical probability theory (this problem could be said to… Leer más
Descripción
Descripción
Índice
Índice
Preface
List of Symbols
Chapter 1: Introduction
1 Introduction
2 Construction of Gaussian Processes
3 Some Fundamental Tools of Probability Theory
Chapter 2: The Basic Processes
4. The Wiener Process, the Oscillator Process, and the Brownian Bridge
5. Regularity Properties—1
6. The Feynman–Kac Formula
7. Regularity and Recurrence Properties—2
Chapter 3: Bound State Problems
8 The Birman–Schwinger Kernel and Lieb’s Formula
9 Phase Space Bounds
10 The Classical Limit
11 Recurrence and Weak Coupling
Chapter 4: Inequalities
12 Correlation Inequalities
13 Other Inequalities: Log Concavity, Symmetric Rearrangement, Conditioning, Hypercontractivity
Chapter 5: Magnetic Fields and Stochastic Integrals
14 Itô′s Integral
15 Schrödinger Operators with Magnetic Fields
16 Introduction to Stochastic Calculus
Chapter 6: Asymptotics
17. Donsker’s Theorem
18. Laplace’s Method in Function Space
19. Introduction to the Donsker-Varadhan Theory
Chapter 7: Other Topics
20 Perturbation Theory for the Ground State Energy
21 Dirichlet Boundaries and Decoupling Singularities in Scattering Theory
22 Crushed Ice and the Wiener Sausage
23 The Statistical Mechanics of Charged Particles with Positive Definite Interactions
24 An Introduction to Euclidean Quantum Field Theory
25 Properties of Eigenfunctions, Wave Packets, and Green’s Functions
26 Inverse Problems and the Feynman–Kac Formula
References
Index
Pure and Applied Mathematics
A Series of Monographs and Textbooks
Detalles del producto
Detalles del producto
- Edición: 1
- Última edición
- Volumen: 86
- Publicado: 16 de noviembre de 1979
- Idioma: Inglés
Sobre el editor
Sobre el editor
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