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1. Synopsis
Part I. Fundamental Principles: 2. The mathematical structure of quantum mechanics 3. Operators 4. The Feynman path integral 5. Hamiltonian mechanics 6. Path integral quantization Part II. Stochastic Processes: 7. Stochastic systems Part III. Discrete Degrees of Freedom: 8. Ising model 9. Ising model: magnetic field 10. Fermions Part IV. Quadratic Path Integrals: 11. Simple harmonic oscillators 12. Gaussian path integrals Part V. Action with Acceleration: 13. Acceleration Lagrangian 14. Pseudo-Hermitian Euclidean Hamiltonian 15. Non-Hermitian Hamiltonian: Jordan blocks 16. The quartic potential: instantons 17. Compact degrees of freedom Index. |