TY - BOOK AU - Baaquie,Belal E. TI - Path integrals and Hamiltonians: principles and methods SN - 9781107009790 (hardback) U1 - 530.120151539 23 PY - 2014/// CY - Cambridge PB - Cambridge University Press KW - Differential operators KW - Differential equations KW - Hamiltonian operator KW - Path integrals N1 - Includes bibliographical references and index; 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; 18. Conclusions; References; Index N2 - This book introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics ER -