ISBN: 9783764387945 - intermediate spectral theory and quantum dynamics (progress in mathematical physics, 54, band 54) (15 Ergebnisse)

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Zustand: New. The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. Many examples and exercises are included that focus on quantum mechanics. Series: Progress in Mathematical Physics. Num Pages: 423 pages, biography. BIC Classification: PDE; PHQ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 844. . 2008. Hardback. . . . .…

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The spectral theory of linear operators in Hilbert spaces is the most important tool in the mathematical formulation of quantum mechanics; in fact, linear ope- tors and quantum mechanics have had a symbiotic relationship. However, typical physicstextbooks on quantum mechanics givejust a roughsketch of operator t- ory,occasionallytreating linear operatorsas matricesin nite-dimensional spaces; the implicit justi cation is that the details of the theory of unbounded operators are involved and those texts are most interested in applications. Further, it is also assumed that mathematical intricacies do not show up in the models to be d- cussedorareskippedby heuristicarguments. Inmanyoccasionssomequestions, such as the very de nition of the hamiltonian domain, are not touched, leaving an open door for controversies, ambiguities and choices guided by personal tastes and ad hoc prescriptions. All in all, sometimes a blank is left in the mathematical background of people interested in nonrelativistic quantum mechanics. Quantum mechanics was the most profound revolution in physics; it is not natural to our common sense (check, for instance, the wave-particle duality) and the mathematics may become crucial when intuition fails. Even some very simple systemspresentnontrivialquestionswhoseanswersneedamathematicalapproach. For example, the Hamiltonian of a quantum particle con ned to a box involves a choice of boundary conditions at the box ends; since di erent choices imply di erentphysicalmodels,studentsshouldbeawareofthebasicdi cultiesintrinsic tothis(inprinciple)verysimple model,aswellasinmoresophisticatedsituations. The theory of linear operators and their spectra constitute a wide eld and it is expected that the selection of topics in this book will help to ll this theoretical gap. Ofcoursethisselectionisgreatlybiasedtowardthepreferencesofthe author. …

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Zustand: New. The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. Many examples and exercises are included that focus on quantum mechanics. Series: Progress in Mathematical Physics. Num Pages: 423 pages, biography. BIC Classification: PDE; PHQ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 844. . 2008. Hardback. . . . . Books ship from the US and Ireland.…

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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The spectral theory of linear operators in Hilbert spaces is the most important tool in the mathematical formulation of quantum mechanics; in fact, linear ope- tors and quantum mechanics have had a symbiotic relationship. However, typical physicstextbooks on quantum mechanics givejust a roughsketch of operator t- ory,occasionallytreating linear operatorsas matricesin nite-dimensional spaces; the implicit justi cation is that the details of the theory of unbounded operators are involved and those texts are most interested in applications. Further, it is also assumed that mathematical intricacies do not show up in the models to be d- cussedorareskippedby heuristicarguments. Inmanyoccasionssomequestions, such as the very de nition of the hamiltonian domain, are not touched, leaving an open door for controversies, ambiguities and choices guided by personal tastes and ad hoc prescriptions. All in all, sometimes a blank is left in the mathematical background of people interested in nonrelativistic quantum mechanics. Quantum mechanics was the most profound revolution in physics; it is not natural to our common sense (check, for instance, the wave-particle duality) and the mathematics may become crucial when intuition fails. Even some very simple systemspresentnontrivialquestionswhoseanswersneedamathematicalapproach. For example, the Hamiltonian of a quantum particle con ned to a box involves a choice of boundary conditions at the box ends; since di erent choices imply di erentphysicalmodels,studentsshouldbeawareofthebasicdi cultiesintrinsic tothis(inprinciple)verysimple model,aswellasinmoresophisticatedsituations. The theory of linear operators and their spectra constitute a wide eld and it is expected that the selection of topics in this book will help to ll this theoretical gap. Ofcoursethisselectionisgreatlybiasedtowardthepreferencesofthe author. 432 pp. Englisch.…

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Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -A Glance at Quantum Mechanics.- Linear Operators and Spectra.- Adjoint Operator.- Fourier Transform and Free Hamiltonian.- Operators via Sesquilinear Forms.- Unitary Evolution Groups.- Kato-Rellich Theorem.- Boundary Triples and Self-Adjointness.- Spectral Theorem.- Applications of the Spectral Theorem.- Convergence of Self-Adjoint Operators.- Spectral Decomposition I.- Spectral Decomposition II.- Spectrum and Quantum Dynamics.- Some Quantum Relations.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 432 pp. Englisch. …

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Zustand: New. Print on Demand pp. 432 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam.

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Zustand: New. PRINT ON DEMAND pp. 432.