Path Integrals and Hamiltonians - Principles and Methods

Informationen zum Autor 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). Klappentext This book introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics. Zusammenfassung A succinct introduction to the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics! with a practical emphasis on methodological and mathematical aspects. Essential reading for researchers and graduate students in physics! and engineers whose work touches on quantum mechanics. Inhaltsverzeichnis 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.

Product details

• Authors: B. E. Baaquie, Belal E. Baaquie, Belal E. (National University of Singapor Baaquie, Belal E. (National University of Singapore) Baaquie, Baaquie Belal E.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 27.03.2014
• EAN: 9781107009790
• ISBN: 978-1-107-00979-0
• No. of pages: 436
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Social sciences, law, business > Business > Miscellaneous; SCIENCE / Physics / Mathematical & Computational, Mathematics, Physics, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Mathematical physics, Mathematics & science, Mathematical / Computational / Theoretical physics