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100   $a20081201d2008      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aHilbert space operators in quantum physics$b[electronic resource] /$fJir?i? Blank, Pavel Exner, Miloslav Havli?c?ek
205   $a2nd ed.
210   $a[Dordrecht] $cSpringer ;$aMelville, NY $cAIP Press$dc2008
215   $a1 online resource (676 p.)
225 1 $aTheoretical and mathematical physics,$x1864-5879
300   $aPrevious ed.: New York: American Institute of Physics, 1994.
311   $a1-4020-8869-8 
320   $aIncludes bibliographical references (p. 617-646) and index.
327   $aSome 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.
330   $aThe second edition of this course-tested book provides a detailed and in-depth discussion of the foundations of quantum theory as well as its applications to various systems. The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. In the third part, specific physical systems and situations are discussed. Two chapters analyze Schrödinger operators and scattering, two others added in the second edition are devoted to new important topics, quantum waveguides and quantum graphs. Some praise for the previous edition: "I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone...." John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder.
410  0$aTheoretical and mathematical physics (Springer (Firm))
606   $aHilbert space
606   $aMathematical physics
606   $aQuantum theory
615  0$aHilbert space.
615  0$aMathematical physics.
615  0$aQuantum theory.
676   $a515.733
676   $a530.1
676   $a530.1/2
676   $a530.12
700   $aBlank$b Jir?i?$01704829
701   $aExner$b Pavel$f1946-$046652
701   $aHavli?c?ek$b Miloslav$01704830
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910825093203321
996   $aHilbert space operators in quantum physics$94091078
997   $aUNINA