self adjoint extensions quantum mechanics di gitman (19 risultati)

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Hardcover. Condizione: new. Hardcover. Quantization in quantum mechanics deals with the problem of correct defining various classical structures, for example, quantum-mechanical observables such as Hamiltonian, momentum, self-adjoint operators in some Hilbert space and so on. Though there exists a naive treatment, based on experience in finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, it results in paradoxes and inaccuracies. This exposition is devoted to a consistent treatment of such problems, based on appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces.It begins by considering quantization problems in general, emphasizing the non-triviality of consistent operator construction by presenting paradoxes to the naive treatment. It then builds the necessary mathematical background following it by the theory of self-adjoint extensions.By considering several problems such as the one-dimensional Calogero problem, the Aharonov-Bohm problem, the problem of delta-like potentials and relativistic Coulomb problem it then shows how quantization problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. In the end, related problems in quantum field theory are briefly introduced.This well organized text is most suitable for students and post graduates interested in deepening their understanding of mathematical problems in quantum mechanics. However, scientists in mathematical and theoretical physics and mathematicians will also find it useful. After reviewing quantization problems emphasizing non-triviality of consistent operator construction, the book shows how problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Condizione: New. pp. 528.

Condizione: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher.

Condizione: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Condizione: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Buch. Condizione: Neu. Neuware -Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a ¿naïve¿ treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, resulting in paradoxes and inaccuracies. A proper treatment of these problems requires invoking certain nontrivial notions and theorems from functional analysis concerning the theory of unbounded self-adjoint operators and the theory of self-adjoint extensions of symmetric operators.Self-adjoint Extensions in Quantum Mechanics begins by considering quantization problems in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes of the naïve treatment. The necessary mathematical background is then built by developing the theory of self-adjoint extensions. Through examination of various quantum-mechanical systems, the authors show how quantization problems associated with the correct definition of observables and their spectral analysis can be treated consistently for comparatively simple quantum-mechanical systems. Systems that are examined include free particles on an interval, particles in a number of potential fields including delta-like potentials, the one-dimensional Calogero problem, the Aharonov¿Bohm problem, and the relativistic Coulomb problem.This well-organized text is most suitable for graduate students and postgraduates interested in deepening their understanding of mathematical problems in quantum mechanics beyond the scope of those treated in standard textbooks. The book may also serve as a useful resource for mathematicians and researchers in mathematical andtheoretical physics.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 528 pp. Englisch.

Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a 'naïve' treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, resulting in paradoxes and inaccuracies. A proper treatment of these problems requires invoking certain nontrivial notions and theorems from functional analysis concerning the theory of unbounded self-adjoint operators and the theory of self-adjoint extensions of symmetric operators.Self-adjoint Extensions in Quantum Mechanics begins by considering quantization problems in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes of the naïve treatment. The necessary mathematical background is then built by developing the theory of self-adjoint extensions. Through examination of various quantum-mechanical systems, the authors show how quantization problems associated with the correct definition of observables and their spectral analysis can be treated consistently for comparatively simple quantum-mechanical systems. Systems that are examined include free particles on an interval, particles in a number of potential fields including delta-like potentials, the one-dimensional Calogero problem, the Aharonov-Bohm problem, and the relativistic Coulomb problem. This well-organized text is most suitable for graduate students and postgraduates interested in deepening their understanding of mathematical problems in quantum mechanics beyond the scope of those treated in standard textbooks. The book may also serve as a useful resource for mathematicians and researchers in mathematical andtheoretical physics.

Condizione: New. After reviewing quantization problems emphasizing non-triviality of consistent operator construction, the book shows how problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. Series: Progress in Mathematical Physics. Num Pages: 524 pages, 3 black & white illustrations, biography. BIC Classification: PHQ; PHU. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 28. Weight in Grams: 950. . 2012. 2012th Edition. hardcover. . . . .

Hardcover. Condizione: Brand New. 2012 edition. 524 pages. 9.50x6.50x1.25 inches. In Stock.

Condizione: New. After reviewing quantization problems emphasizing non-triviality of consistent operator construction, the book shows how problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. Series: Progress in Mathematical Physics. Num Pages: 524 pages, 3 black & white illustrations, biography. BIC Classification: PHQ; PHU. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 28. Weight in Grams: 950. . 2012. 2012th Edition. hardcover. . . . . Books ship from the US and Ireland.

Hardcover. Condizione: new. Hardcover. Quantization in quantum mechanics deals with the problem of correct defining various classical structures, for example, quantum-mechanical observables such as Hamiltonian, momentum, self-adjoint operators in some Hilbert space and so on. Though there exists a naive treatment, based on experience in finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, it results in paradoxes and inaccuracies. This exposition is devoted to a consistent treatment of such problems, based on appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces.It begins by considering quantization problems in general, emphasizing the non-triviality of consistent operator construction by presenting paradoxes to the naive treatment. It then builds the necessary mathematical background following it by the theory of self-adjoint extensions.By considering several problems such as the one-dimensional Calogero problem, the Aharonov-Bohm problem, the problem of delta-like potentials and relativistic Coulomb problem it then shows how quantization problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. In the end, related problems in quantum field theory are briefly introduced.This well organized text is most suitable for students and post graduates interested in deepening their understanding of mathematical problems in quantum mechanics. However, scientists in mathematical and theoretical physics and mathematicians will also find it useful. After reviewing quantization problems emphasizing non-triviality of consistent operator construction, the book shows how problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This exposition is devoted to a consistent treatment of quantization problems, based on appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces. The authors begin by considering quantization problems in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes to the naive treatment. It then builds the necessary mathematical background following it by the theory of self-adjoint extensions. By considering several problems such as the one-dimensional Calogero problem, the Aharonov-Bohm problem, the problem of delta-like potentials and relativistic Coulomb problemIt then shows how quantization problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. In the end, related problems in quantum field theory are briefly introduced. This well-organized text is most suitable for students and post graduates interested in deepening their understanding of mathematical problems in quantum mechanics. However, scientists in mathematical and theoretical physics and mathematicians will also find it useful. Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a naïve treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, resulting in paradoxes and inaccuracies. A proper treatment of these problems requires invoking certain nontrivial notions and theorems from functional analysis concerning the theory of unbounded self-adjoint operators and the theory of self-adjoint extensions of symmetric operators.Self-adjoint Extensions in Quantum Mechanics begins by considering quantization problems in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes of the naïve treatment. The necessary mathematical background is then built by developing the theory of self-adjoint extensions. Through examination of various quantum-mechanical systems, the authors show how quantization problems associated with the correct definition of observables and their spectral analysis can be treated consistently for comparatively simple quantum-mechanical systems. Systems that are examined include free particles on an interval, particles in a number of potential fields including delta-like potentials, the one-dimensional Calogero problem, the Aharonov Bohm problem, and the relativistic Coulomb problem. This well-organized text is most suitable for graduate students and postgraduates interested in deepening their understanding of mathematical problems in quantum mechanics beyond the scope of those treated in standard textbooks. The book may also serve as a useful resource for mathematicians and researchers in mathematical and theoretical physics. 528 pp. Englisch.

Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a consistent treatment of certain quantization problems in quantum mechanics with several examplesCovers necessary mathematical backgroundClear organizationEnds with a interesting discussion related to similar quantum field .

Condizione: New. Print on Demand pp. 528 3 Illus.

Condizione: New. PRINT ON DEMAND pp. 528.