Belal E. Baaquie

Path Integrals and Hamiltonians (eBook, ePUB)

Principles and Methods

• Format: ePub

Produktbeschreibung

Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers, biology, chemistry, and quantum finance. Eschewing use of the Schrodinger equation, the powerful and flexible combination of Hamiltonian operators and path integrals is used to study a range of different quantum and classical random systems, succinctly demonstrating the interplay between a system's path integral, state space, and Hamiltonian. With a practical emphasis on the methodological and mathematical aspects of each derivation, this is a perfect introduction to these versatile mathematical methods, suitable for researchers and graduate students in physics and engineering.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 27. März 2014
• Englisch
• ISBN-13: 9781139861601
• Artikelnr.: 53012872

Autorenporträt

Belal E. Baaquie is a Professor of Physics at the National University of Singapore, specializing in quantum field theory, quantum mathematics and quantum finance. He is the author of Quantum Finance (2004), Interest Rates and Coupon Bonds in Quantum Finance (2009), The Theoretical Foundations of Quantum Mechanics (2013) and co-author of Exploring Integrated Science (2010).

Inhaltsangabe

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.