{"product_id":"principles-of-discrete-time-mechanics-hardback-9781107034297","title":"Principles of Discrete Time Mechanics (Hardback) 9781107034297","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ePrinciples of Discrete Time Mechanics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA unique introduction to the chronon hypothesis, systematically building the theory up from scratch.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGeorge Jaroszkiewicz (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107034297, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 April 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e360 pages, 21 b\/w illus.\u003cbr\u003e25.4 x 18 x 3 cm, 0.86 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eCould time be discrete on some unimaginably small scale? Exploring the idea in depth, this unique introduction to discrete time mechanics systematically builds the theory up from scratch, beginning with the historical, physical and mathematical background to the chronon hypothesis. 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, including spreadsheet mechanics, classical and quantum register mechanics, and classical and quantum mechanics and field theories. A consistent emphasis on contextuality and the observer-system relationship is maintained throughout.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. The physics of discreteness\u003cbr\u003e 3. The road to calculus\u003cbr\u003e 4. Temporal discretization\u003cbr\u003e 5. Discrete time dynamics architecture\u003cbr\u003e 6. Some models\u003cbr\u003e 7. Classical cellular automata\u003cbr\u003e 8. The action sum\u003cbr\u003e 9. Worked examples\u003cbr\u003e 10. Lee's approach to discrete time mechanics\u003cbr\u003e 11. Elliptic billiards\u003cbr\u003e 12. The construction of system functions\u003cbr\u003e 13. The classical discrete time oscillator\u003cbr\u003e 14. Type 2 temporal discretization\u003cbr\u003e 15. Intermission\u003cbr\u003e 16. Discrete time quantum mechanics\u003cbr\u003e 17. The quantized discrete time oscillator\u003cbr\u003e 18. Path integrals\u003cbr\u003e 19. Quantum encoding\u003cbr\u003e 20. Discrete time classical field equations\u003cbr\u003e 21. The discrete time Schrodinger equation\u003cbr\u003e 22. The discrete time Klein–Gordon equation\u003cbr\u003e 23. The discrete time Dirac equation\u003cbr\u003e 24. Discrete time Maxwell's equations\u003cbr\u003e 25. The discrete time Skyrme model\u003cbr\u003e 26. Discrete time quantum field theory\u003cbr\u003e 27. Interacting discrete time scalar fields\u003cbr\u003e 28. Space, time and gravitation\u003cbr\u003e 29. Causality and observation\u003cbr\u003e 30. Concluding remarks\u003cbr\u003e Appendix A. Coherent states\u003cbr\u003e Appendix B. The time-dependent oscillator\u003cbr\u003e Appendix C. Quaternions\u003cbr\u003e Appendix D. Quantum registers\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265527501080,"sku":"9781107034297","price":80.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107034297i.jpg?v=1692023910","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/principles-of-discrete-time-mechanics-hardback-9781107034297","provider":"Freshly Printed Books","version":"1.0","type":"link"}