{"product_id":"lectures-on-quantum-mechanics-a-primer-for-mathematicians-hardback-9781108429764","title":"Lectures on Quantum Mechanics; A Primer for Mathematicians (Hardback) 9781108429764","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLectures on Quantum Mechanics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Primer for Mathematicians\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePhilip L. Bowers (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108429764, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 September 2020\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e582 pages\u003cbr\u003e23.4 x 15.5 x 3.2 cm, 1.02 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'… this is a useful text that integrates mathematics and quantum mechanics, one that promises to help first-year graduate students ready themselves for advanced research. Recommended.' M. O. Farooq, Choice\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eQuantum mechanics is one of the principle pillars of modern physics. It also remains a topic of great interest to mathematicians. Since its discovery it has inspired and been inspired by many topics within modern mathematics, including functional analysis and operator algebras, Lie groups, Lie algebras and their representations, principle bundles, distribution theory, and much more. Written with beginning graduate students in mathematics in mind, this book provides a thorough treatment of (nonrelativistic) quantum mechanics in a style that is leisurely, without the usual theorem-proof grammar of pure mathematics, while remaining mathematically honest. The author takes the time to fully develop the required mathematics and employs a consistent mathematical presentation to clarify the often-confusing notation of physics texts. Along the way the reader encounters several topics requiring more advanced mathematics than found in many discussions of the subject, making for a fascinating course in how mathematics and physics interact.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Prolegomenon\u003cbr\u003e 1. The Harmonic Oscillator: Classical verses Quantum\u003cbr\u003e 2. The Mathematical Structure of Quantum Mechanics\u003cbr\u003e 3. Observables and Expectation Values\u003cbr\u003e 4. The Projection Postulate Examined\u003cbr\u003e 5. Rigged Hilbert Space and the Dirac Calculus\u003cbr\u003e 6. A Review of Classical Mechanics\u003cbr\u003e 7. Hamilton-Jacobi Theory *\u003cbr\u003e 8. Classical Mechanics Regain'd\u003cbr\u003e 9. Wave Mechanics I: Heisenberg Uncertainty\u003cbr\u003e 10. Wave Mechanics II: The Fourier Transform\u003cbr\u003e 11. Wave Mechanics III: The Quantum Oscillator\u003cbr\u003e 12. Angular Momentum I: Basics\u003cbr\u003e 13. Angular Momentum II: Representations of su(2)\u003cbr\u003e 14. Angular Momentum III: The Central Force Problem\u003cbr\u003e 15. Wave Mechanics IV: The Hydrogenic Potential\u003cbr\u003e 16. Wave Mechanics V: Hidden Symmetry Revealed\u003cbr\u003e 17. Wave Mechanics VI: Hidden Symmetry Solved\u003cbr\u003e 18. Angular Momentum IV: Addition Rules and Spin\u003cbr\u003e 19. Wave Mechanics VII: Pauli's Spinor Theory\u003cbr\u003e 20. Clifford Algebras and Spin Representations *\u003cbr\u003e 21. Many-Particle Quantum Systems\u003cbr\u003e 22. The EPR Argument and Bell's Inequalities\u003cbr\u003e 23. Ensembles and Density Operators\u003cbr\u003e 24. Bosons and Fermions\u003cbr\u003e 25. The Fock Space for Indistinguishable Quanta\u003cbr\u003e 26. An Introduction to Quantum Statistical Mechanics\u003cbr\u003e 27. Quantum Dynamics\u003cbr\u003e 28. Unitary Representations and Conservation Laws\u003cbr\u003e 29. The Feynman Formulation of Quantum Mechanics\u003cbr\u003e 30. A Mathematical Interlude: Gaussian Integrals\u003cbr\u003e 31. Evaluating Path Integrals I\u003cbr\u003e 32. Evaluating Path Integrals II\u003cbr\u003e Epilogue\u003cbr\u003e Resources for Individual Exploration\u003cbr\u003e Bibliography\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], 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]\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":46002494308632,"sku":"9781108429764","price":60.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108429764i_9de1ed86-8b8a-4bc1-b785-ead5f32f24d6.jpg?v=1696699869","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/lectures-on-quantum-mechanics-a-primer-for-mathematicians-hardback-9781108429764","provider":"Freshly Printed Books","version":"1.0","type":"link"}