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醉染图书路径积分与哈密顿量——原理与方法()9787301307861
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Preface page xv
Acknowledgements xviii
1 Synopsis 1
Part one Fundamental principles 5
2 The mathematical structure of quantum mechanics 7
3 Operators 30
4 The Feynman path integral 61
5 Hamiltonian mechanics 80
6 Path integral quantization 105
Part two Stochastic processes 1
7 Stochastic systems 125
Part three Discrete degrees of freedm 59
8 Ising model 161
9 Ising mode: anetic field 180
10 Fermions 198
Part four dratic path integrals 2
11 Simple harmonic oscillator 225
12 Gaussian path integrals 251
Part five Action with acceleration 271
13 Acceleration Lagrangian 273
14 Pseudo-Hermitian Euclidean Hamiltonian 294
15 Non-Hermitian Hamiltonian: Jordan blocks 330
Part six Nonlinear path integrals 349
16 The quartic potential:instantons 351
17 Compact degrees of freedom 385
18 Conclusions 405
References 409
Index 413
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