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Kashiwa Taro, Ohnuki Yoshio, Suzuki Masuo. Path Integral Methods

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Kashiwa Taro, Ohnuki Yoshio, Suzuki Masuo. Path Integral Methods
Clarendon Press, Oxford, 1997. — 221 p.
Path Integral Representation
The Time Evolution Operator and Trotter's Formula
Operator Ordering in the Path Integral
The Euclidean Technique and Trace Formula
Coherent States and the Path Integral
Fermionic Path Integral
Perturbation Theory and the WKB Approximation
Harmonic Oscillators
Perturbation Theory
The WKB Approximation
Instantons and the Tunnelling Phenomena
Generalization
Change of Variables under the Path Integral
Constrained Systems
Multiply Connected Spaces
Periodic Coherent States and Path Integral for Spin
The WKB-exactness in Some Models
Application to Field Theory
The Path Integral in Field Theory
Auxiliary Field Method
Quantum Monte Carlo Method
Introduction
Basic Ideas
Quantum Effect and Importance Sampling Method
Applications to Quantum Spin Systems
Effectiveness in the Future
Algebraic Generalization
Introduction
Generalization of Trotter's Formula
General Theory of Higher Order Decomposition
Fractal Path Integral
Problems in Solid State Physics
Stochastic Processes
Molecular Collisions and Chemical Reactions
The Tunnelling Effect in Condensed Matter Physics
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