Feynman Integral and Random Dynamics in Quantum Physics
A Probabilistic Approach to Quantum Dynamics
(Sprache: Englisch)
The Feynman integral is considered as an intuitive representation of quantum mechanics showing the complex quantum phenomena in a language comprehensible at a classical level. It suggests that the quantum transition amplitude arises from classical mechanics...
Leider schon ausverkauft
versandkostenfrei
Buch
189.34 €
Produktdetails
Produktinformationen zu „Feynman Integral and Random Dynamics in Quantum Physics “
Klappentext zu „Feynman Integral and Random Dynamics in Quantum Physics “
The Feynman integral is considered as an intuitive representation of quantum mechanics showing the complex quantum phenomena in a language comprehensible at a classical level. It suggests that the quantum transition amplitude arises from classical mechanics by an average over various interfering paths. The classical picture suggested by the Feynman integral may be illusory. By most physicists the path integral is usually treated as a convenient formal mathematical tool for a quick derivation of useful approximations in quantum mechanics. Results obtained in the formalism of Feynman integrals receive a mathematical justification by means of other (usually much harder) methods. In such a case the rigour is achieved at the cost of losing the intuitive classical insight. The aim of this book is to formulate a mathematical theory of the Feynman integral literally in the way it was expressed by Feynman, at the cost of complexifying the configuration space. In such a case the Feynman integral can be expressed by a probability measure. The equations of quantum mechanics can be formulated as equations of random classical mechanics on a complex configuration space. The opportunity of computer simulations shows an immediate advantage of such a formulation. A mathematical formulation of the Feynman integral should not be considered solely as an academic question of mathematical rigour in theoretical physics.
Inhaltsverzeichnis zu „Feynman Integral and Random Dynamics in Quantum Physics “
- Foreword- Introduction
- Basic Notation
1. Preliminaries
2. Markov chains
3. Stochastic differential equations
4. Semi-groups and the Trotter product formula
5. The Feynman integral
6. Feynman integral and stochastic differential equations
7. Random perturbations of the classical mechanics
8. Complex dynamics and coherent states
9. Quantum non-linear oscillations
10. Feynman integral on analytic submanifolds
11. Interaction with the environment
12. Lindblad equation and stochastic Schrödinger equation
13. Hamiltonian time evolution of the density matrix
14. Stochastic representation of the Lindblad time evolution
15. Decoherence and estimates on dissipative dynamics
16. Diffusive behaviour of the Wigner function and decoherence
17. Scattering and tunnelling in an environment
18. The Feynman integral in quantum field theory
19. The phase space methods in QFT
20. Computer simulations of quantum random dynamics
- Bibliography
- Index
Bibliographische Angaben
- Autor: Z. Haba
- 1999, 367 Seiten, Maße: 23,5 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 0792357353
- ISBN-13: 9780792357353
Sprache:
Englisch
Kommentar zu "Feynman Integral and Random Dynamics in Quantum Physics"
0 Gebrauchte Artikel zu „Feynman Integral and Random Dynamics in Quantum Physics“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Feynman Integral and Random Dynamics in Quantum Physics".
Kommentar verfassen