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020 _a9783030595616
040 _aNISER LIBRARY
_cNISER LIBRARY
_beng
082 0 4 _a530.145
_bGUS-M
100 1 _aGustafson, Stephen J.
245 1 0 _aMathematical concepts of quantum mechanics
250 _a3rd edition
260 _aNew York :
_bSpringer,
_c2020.
300 _axiv, 456 p. :
_bill. ;
_c24 cm.
490 0 _aUniversitext
504 _aIncludes bibliographical references and index.
520 _aThe book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.
650 0 _aQuantum theory.
650 0 _aQuantum theory
_xMathematics.
650 0 _aSchrödinger equation
650 0 _aSpectral theory
650 0 _aFunctional analysis
700 1 _aSigal, Israel Michael
856 _3Table of content
_uhttps://link.springer.com/content/pdf/bfm:978-3-030-59562-3/1
856 _3Reviews
_uhttps://www.goodreads.com/book/show/54985904-mathematical-concepts-of-quantum-mechanics?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35640
_d35640