{"product_id":"quantum-mechanics-a-graduate-course-hardback-9781108838733","title":"Quantum Mechanics; A Graduate Course (Hardback) 9781108838733","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eQuantum Mechanics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Graduate Course\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA comprehensive, modern description of Quantum Mechanics at the graduate level, focused on developing the formalism and its applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHoratiu Nastase (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108838733, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 4 August 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e700 pages\u003cbr\u003e26.1 x 21 x 4 cm, 1.65 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\"\u003eWritten for a two-semester graduate course in Quantum Mechanics, this comprehensive text helps develop the tools and formalism of Quantum Mechanics and its applications to physical systems. It suits students who have taken some introductory Quantum Mechanics and Modern Physics courses at undergraduate level, but it is self-contained and does not assume any specific background knowledge beyond appropriate fluency in mathematics. The text takes a modern logical approach rather than a historical one and it covers standard material, such as the hydrogen atom and the harmonic oscillator, the WKB approximations and Bohr-Sommerfeld quantization. Important modern topics and examples are also described, including Berry phase, quantum information, complexity and chaos, decoherence and thermalization, nonstandard statistics, as well as more advanced material such as path integrals, scattering theory, multiparticles and Fock space. Readers will gain a broad overview of Quantum Mechanics, as solid preparation for further study or research.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. The mathematics of Quantum Mechanics 1: Finite dimensional Hilbert spaces\u003cbr\u003e 2. The mathematics of Quantum Mechanics 2: Infinite dimensional Hilbert spaces\u003cbr\u003e 3. The postulates of Quantum Mechanics and the Schrödinger equation\u003cbr\u003e 4. Two-level systems and spin 1\/2, entanglement and computation\u003cbr\u003e 5. Position and momentum and their bases, canonical quantization, and free particles\u003cbr\u003e 6. The Heisenberg uncertainty principle and relations, and Gaussian wave packets\u003cbr\u003e 7. One dimensional problems in a potential V (x)\u003cbr\u003e 8. The harmonic oscillator 9. The Heisenberg picture and general pictures\u003cbr\u003e evolution operator\u003cbr\u003e 10. The Feynman path integral and propagators\u003cbr\u003e 11. The classical limit and Hamilton-Jacobi (the WKB method), Ehrenfest theorem\u003cbr\u003e 12. Symmetries in quantum mechanics I: Continuous symmetries\u003cbr\u003e 13. Symmetries in quantum mechanics II: Discrete symmetries and internal symmetries\u003cbr\u003e 14. Theory of angular momentum I: operators, algebras, representations\u003cbr\u003e 15. Theory of angular momentum II: addition of angular momenta and representations\u003cbr\u003e oscillator model\u003cbr\u003e 16. Applications of angular momentum theory: tensor operators, wave functions and the Schrödinger equation, free particles\u003cbr\u003e 17. Spin and L + S\u003cbr\u003e 18. The Hydrogen atom\u003cbr\u003e 19. General central potential and 3 dimensional (isotropic) harmonic oscillator\u003cbr\u003e 20. Systems of identical particles\u003cbr\u003e 21. Application of identical particles: He atom (2-electron system) and H2 molecule\u003cbr\u003e 22. Quantum mechanics interacting with classical electromagnetism\u003cbr\u003e 23. Aharonov-Bohm effect and Berry phase in quantum mechanics\u003cbr\u003e 24. Motion in a magnetic field, Hall effect and Landau levels\u003cbr\u003e 25. The WKB and semiclassical approximation\u003cbr\u003e 26. Bohr-Sommerfeld quantization\u003cbr\u003e 27. Dirac quantization condition and magnetic monopole\u003cbr\u003es 28. Path integrals II: imaginary time and fermionic path integral\u003cbr\u003e 29. General theory of quantization of classical mechanics and (Dirac) quantization of constrained systems\u003cbr\u003e 30. Quantum entanglement and the EPR paradox\u003cbr\u003e 31. The interpretation of quantum mechanics and Bell's inequalities\u003cbr\u003e 32. Quantum statistical mechanics and tracing over a subspace\u003cbr\u003e 33. Elements of quantum information and quantum computing\u003cbr\u003e 34. Quantum complexity and quantum chaos\u003cbr\u003e 35. Quantum decoherence and quantum thermalization\u003cbr\u003e 36. Time-independent (stationary) perturbation theory: nondegenerate, degenerate, and formal cases\u003cbr\u003e 37. Time dependent perturbation theory: first order\u003cbr\u003e 38. Time-dependent perturbation theory: second and all orders\u003cbr\u003e 39. Application: interaction with (classical) electromagnetic field, absorption, photoelectric and Zeeman effect\u003cbr\u003e 40. WKB methods and extensions: state transitions and Euclidean path integrals (instantons)\u003cbr\u003e 41. Variational methods\u003cbr\u003e 42. Atoms and molecules, orbitals and chemical bonds: Quantum chemistry\u003cbr\u003e 43. Nuclear liquid droplet and shell models\u003cbr\u003e 44. Interaction of atoms with electromagnetic radiation: transitions and lasers\u003cbr\u003e 45. One-dimensional scattering, transfer and S matrices\u003cbr\u003e 46. Three dimensional Lippmann-Schwinger equation, scattering amplitudes and cross-sections\u003cbr\u003e 47. Born approximation and series, S- and T-matrix\u003cbr\u003e 48. Partial wave expansion, phase shift method and scattering length\u003cbr\u003e 49. Unitarity, optics and the optical theorem\u003cbr\u003e 50. Low energy and bound states, analytical properties of scattering amplitudes\u003cbr\u003e 51. Resonances and scattering, complex k and l\u003cbr\u003e 52. The semiclassical: WKB and eikonal approximations for scattering\u003cbr\u003e 53. Inelastic scattering\u003cbr\u003e 54. The Dirac equation\u003cbr\u003e 55. Multi-particle states in atoms and condensed matter: Schrödinger vs. occupation number\u003cbr\u003e 56. Fock space calculation with field operators\u003cbr\u003e 57. The Hartree-Fock approximation and other occupation number approximations\u003cbr\u003e 58. Nonstandard statistics: anyons and nonabelions.\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":46003262947608,"sku":"9781108838733","price":67.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108838733i.jpg?v=1696727394","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/quantum-mechanics-a-graduate-course-hardback-9781108838733","provider":"Freshly Printed Books","version":"1.0","type":"link"}