{"product_id":"path-integrals-and-hamiltonians-principles-and-methods-hardback-9781107009790","title":"Path Integrals and Hamiltonians; Principles and Methods (Hardback) 9781107009790","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ePath Integrals and Hamiltonians\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003ePrinciples and Methods\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis book introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eBelal E. Baaquie (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107009790, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 27 March 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e436 pages, 74 b\/w illus.\u003cbr\u003e24.4 x 17 x 2.4 cm, 0.89 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The book is well written, in a compact style, but not stinting on clear explanations … Path Integrals and Hamiltonians looks like a very useful book, and I, for one, am very happy to have a copy.' Michael Berg, MAA Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eProviding 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 Schrödinger 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Synopsis\u003cbr\u003e Part I. Fundamental Principles: 2. The mathematical structure of quantum mechanics\u003cbr\u003e 3. Operators\u003cbr\u003e 4. The Feynman path integral\u003cbr\u003e 5. Hamiltonian mechanics\u003cbr\u003e 6. Path integral quantization\u003cbr\u003e Part II. Stochastic Processes: 7. Stochastic systems\u003cbr\u003e Part III. Discrete Degrees of Freedom: 8. Ising model\u003cbr\u003e 9. Ising model: magnetic field\u003cbr\u003e 10. Fermions\u003cbr\u003e Part IV. Quadratic Path Integrals: 11. Simple harmonic oscillators\u003cbr\u003e 12. Gaussian path integrals\u003cbr\u003e Part V. Action with Acceleration: 13. Acceleration Lagrangian\u003cbr\u003e 14. Pseudo-Hermitian Euclidean Hamiltonian\u003cbr\u003e 15. Non-Hermitian Hamiltonian: Jordan blocks\u003cbr\u003e 16. The quartic potential: instantons\u003cbr\u003e 17. Compact degrees of freedom\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Quantum physics [\u003ca title=\"See our other books on Quantum physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Quantum%20physics%20%5Bquantum%20mechanics%20\u0026amp;%20quantum%20field%20theory%5D%20%5BPHQ%5D%22\"\u003equantum mechanics \u0026amp; quantum field theory PHQ\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Mathematics \u0026amp; science [\u003ca title=\"See our other books on Mathematics \u0026amp; science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20\u0026amp;%20science%20%5BP%5D%22\"\u003eP\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":46003725205784,"sku":"9781107009790","price":107.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107009790i_6fbbc75a-f457-427a-b077-cb98fe218863.jpg?v=1691360942","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/path-integrals-and-hamiltonians-principles-and-methods-hardback-9781107009790","provider":"Freshly Printed Books","version":"1.0","type":"link"}