03667nam 2200685Ia 450 991078210090332120200520144314.01-4020-8870-110.1007/978-1-4020-8870-4(CKB)1000000000492205(EBL)364133(OCoLC)279439178(SSID)ssj0000171227(PQKBManifestationID)11176904(PQKBTitleCode)TC0000171227(PQKBWorkID)10238023(PQKB)11607519(DE-He213)978-1-4020-8870-4(MiAaPQ)EBC364133(Au-PeEL)EBL364133(CaPaEBR)ebr10252264(PPN)129060232(EXLCZ)99100000000049220520081201d2008 uy 0engur|n|---|||||txtccrHilbert space operators in quantum physics[electronic resource] /Jiří Blank, Pavel Exner, Miloslav Havlíček2nd ed.[Dordrecht] Springer ;Melville, NY AIP Pressc20081 online resource (676 p.)Theoretical and mathematical physics,1864-5879Previous ed.: New York: American Institute of Physics, 1994.1-4020-8869-8 Includes bibliographical references (p. 617-646) and index.Some notions from functional analysis -- Hilbert spaces -- Bounded operators -- Unbounded operators -- Spectral theory -- Operator sets and algebras -- States and observables -- Position and momentum -- Time evolution -- Symmetries of quantum systems -- Composite systems -- The second quantization -- Axiomatization of quantum theory -- Composite systems -- Scattering theory -- Quantum waveguides -- Quantum graphs.The second edition of this course-tested book provides a detailed and in-depth discussion of the foundations of quantum theory as well as its applications to various systems. The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. In the third part, specific physical systems and situations are discussed. Two chapters analyze Schrödinger operators and scattering, two others added in the second edition are devoted to new important topics, quantum waveguides and quantum graphs. Some praise for the previous edition: "I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone...." John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder.Theoretical and mathematical physics (Springer (Firm))Hilbert spaceMathematical physicsQuantum theoryHilbert space.Mathematical physics.Quantum theory.515.733530.1530.1/2530.12Blank Jiří1473765Exner Pavel1946-46652Havlíček Miloslav1473766MiAaPQMiAaPQMiAaPQBOOK9910782100903321Hilbert space operators in quantum physics3687075UNINA