Path integrals and Hamiltonians : principles and methods / Belal E. Baaquie.
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TextPublication details: Cambridge : Cambridge University Press, 2014.Description: xvii, 417 p. : illustrations ; 26 cmISBN: - 9781107009790 (hardback)
- 530.120151539 23 B111
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 530.120151539 B111 (Browse shelf(Opens below)) | Available | 136522 |
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| 530.1201513 Symplectic fibrations and multiplicity diagrams | 530.1201514 G725 Path integrals for pedestrians / | 530.1201514 St785 Introduction to topological quantum matter & quantum computation / | 530.120151539 B111 Path integrals and Hamiltonians : | 530.120151542 V948 Measure theoretical approach to quantum stochastic processes / | 530.120151542 W814 Quantum measurement and control / | 530.1201516 V288 Geometry of quantum theory |
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.
This book introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.
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