Principles of Discrete Time Mechanics

Informationen zum Autor George Jaroszkiewicz is an Associate Professor at the School of Mathematical Sciences, University of Nottingham, having formerly held positions at the University of Oxford and the University of Kent. Klappentext A unique introduction to the chronon hypothesis, systematically building the theory up from scratch. Zusammenfassung Covering classical and quantum discrete time mechanics! this book presents all the tools needed to formulate and develop applications of discrete time mechanics in a number of areas! beginning with the historical! physical and mathematical background to the chronon hypothesis. Inhaltsverzeichnis 1. Introduction; 2. The physics of discreteness; 3. The road to calculus; 4. Temporal discretization; 5. Discrete time dynamics architecture; 6. Some models; 7. Classical cellular automata; 8. The action sum; 9. Worked examples; 10. Lee's approach to discrete time mechanics; 11. Elliptic billiards; 12. The construction of system functions; 13. The classical discrete time oscillator; 14. Type 2 temporal discretization; 15. Intermission; 16. Discrete time quantum mechanics; 17. The quantized discrete time oscillator; 18. Path integrals; 19. Quantum encoding; 20. Discrete time classical field equations; 21. The discrete time Schrodinger equation; 22. The discrete time Klein-Gordon equation; 23. The discrete time Dirac equation; 24. Discrete time Maxwell's equations; 25. The discrete time Skyrme model; 26. Discrete time quantum field theory; 27. Interacting discrete time scalar fields; 28. Space, time and gravitation; 29. Causality and observation; 30. Concluding remarks; Appendix A. Coherent states; Appendix B. The time-dependent oscillator; Appendix C. Quaternions; Appendix D. Quantum registers; References; Index.

Produktdetails

• Autoren: George Jaroszkiewicz, George (University of Nottingham) Jaroszkiewicz, Jaroszkiewicz George
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 17.04.2014
• EAN: 9781107034297
• ISBN: 978-1-107-03429-7
• Seiten: 360
• Serien: Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem; Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Physik, Astronomie > Sonstiges; SCIENCE / Physics / Mathematical & Computational, Mathematical physics, Mathematical / Computational / Theoretical physics