TY - BOOK ID - 697294 TI - Quantum Theory for Mathematicians PY - 2013 VL - 267 SN - 00725285 SN - 9781461471165 9781489993625 146147115X 9781461471158 1461471168 PB - New York, NY : Springer New York : Imprint: Springer, DB - UniCat KW - topologie (wiskunde) KW - Quantum mechanics. Quantumfield theory KW - Functional analysis KW - Mathematical physics KW - Mathematics KW - Topological groups. Lie groups KW - wiskunde KW - quantumfysica KW - functies (wiskunde) KW - fysica KW - Quanta, Teoría de los KW - Quantum theory. KW - Functional analysis. KW - Topological Groups. KW - Mathematical physics. KW - Mathematical Physics. KW - Mathematical Applications in the Physical Sciences. KW - Quantum Physics. KW - Functional Analysis. KW - Topological Groups, Lie Groups. KW - Mathematical Methods in Physics. KW - Physical mathematics KW - Physics KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Quantum dynamics KW - Quantum mechanics KW - Quantum physics KW - Mechanics KW - Thermodynamics KW - Groups, Topological KW - Continuous groups KW - Quantum physics. KW - Topological groups. KW - Lie groups. KW - Physics. KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups KW - Quantum theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:697294 AB - Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization. ER -