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1.

図書
図書
1. Quantum mechanics for Hamiltonians defined as quadratic forms
Barry Simon
出版情報: Princeton, N.J. : Princeton University Press, 1971  xv, 244 p ; 24 cm
シリーズ名: Princeton series in physics
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2.

図書
図書
2. Functional integration and quantum physics. 2nd ed
Barry Simon
出版情報: Providence, R.I. : AMS Chelsea Pub., American Mathematical Society, c2005  xi, 306 p. ; 26 cm
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目次情報: 続きを見る
Preface to Second Edition
Preface
List of Symbols
Introduction / I：
Construction of Gaussian Processes / 1：
Some Fundamental Tools of Probability Theory / 3：
The Basic Processes / II：
The Wiener Process, the Oscillator Process, and the Brownian Bridge / 4：
Regularity Properties-1 / 5：
The Feynman-Kac Formula / 6：
Regularity and Recurrence Properties-2 / 7：
Bound State Problems / III：
The Birman-Schwinger Kernel and Lieb's Formula / 8：
Phase Space Bounds / 9：
The Classical Limit / 10：
Recurrence and Weak Coupling / 11：
Inequalities / IV：
Correlation Inequalities / 12：
Other Inequalities: Log Concavity, Symmetric Rearrangement, Conditioning, Hypercontractivity / 13：
Magnetic Fields and Stochastic Integrals / V：
Ito's Integral / 14：
Schrodinger Operators with Magnetic Fields / 15：
Introduction to Stochastic Calculus / 16：
Asymptotics / VI：
Donsker's Theorem / 17：
Laplace's Method in Function Space / 18：
Introduction to the Donsker-Varadhan Theory / 19：
Other Topics / VII：
Perturbation Theory for the Ground State Energy / 20：
Dirichlet Boundaries and Decoupling Singularities in Scattering Theory / 21：
Crushed Ice and the Wiener Sausage / 22：
The Statistical Mechanics of Charged Particles with Positive Definite Interactions / 23：
An Introduction to Euclidean Quantum Field Theory / 24：
Properties of Eigenfunctions, Wave Packets, and Green's Functions / 25：
Inverse Problems and the Feynman-Kac Formula / 26：
References
Index
Bibliographic Supplement
Bibliography
Preface to Second Edition
Preface
List of Symbols
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