Functional integration and quantum physics

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Title:

Series:

Pure and applied mathematics : a series of monographs and textbooks

Publication Information:

New York : Academic Press, 1979

ISBN:

9780126442502

Subject Term:

Integration, Functional

Quantum theory

Added Author:

Simon, Barry, 1946-

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000000900427	QC20.7.F85 1979	Open Access Book	Book	Searching... Unknown
Searching... PSZ JB	30000000673859	QC20.7.F85 1979	Open Access Book	Book	Searching... Unknown
Searching... PSZ JB	30000003075086	QC20.7.F85 1979	Open Access Book	Book	Searching... Unknown

On Order

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

Available:*

On Order

Table of Contents