Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials
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The work Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials
Resource Information
The work Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials
 Title remainder
 general theory and applications to Schrödinger and Dirac equations with singular potentials
 Statement of responsibility
 D.M. Gitman, I.V. Tyutin, B.L. Voronov
 Subject

 Dirac equation
 Dirac equation
 Dirac equation
 Mathematical Concepts
 Mathematical Methods in Physics.
 Mathematical physics.
 Mathematics
 Mathematics.
 Operator theory.
 Physics
 Quantum Physics.
 Quantum Theory
 Quantum theory  Mathematics
 Quantum theory  Mathematics
 Quantum theory  Mathematics
 Quantum theory.
 SCIENCE  Physics  Quantum Theory
 Schrödinger equation
 Schrödinger equation
 Schrödinger equation
 Applications of Mathematics.
 Language
 eng
 Summary
 Quantization of physical systems requires a correct definition of quantummechanical observables, such as the Hamiltonian, momentum, etc., as selfadjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a?naïve? treatment exists for dealing with such problems, it is based on finitedimensional algebra or even infinitedimensional 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 selfadjoint operators and the theory of selfadjoint extensions of symmetric operators. Selfadjoint 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 selfadjoint extensions. Through examination of various quantummechanical 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 quantummechanical systems. Systems that are examined include free particles on an interval, particles in a number of potential fields including deltalike potentials, the onedimensional Calogero problem, the AharonovBohm problem, and the relativistic Coulomb problem. This wellorganized 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
 Cataloging source
 GW5XE
 Dewey number
 530.1201/51
 Index
 index present
 Language note
 English
 LC call number
 QC174.17.M35
 LC item number
 G58 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Progress in mathematical physics
 Series volume
 v. 62
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 Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials, D.M. Gitman, I.V. Tyutin, B.L. Voronov
 Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials, D.M. Gitman, I.V. Tyutin, B.L. Voronov
 Selfadjoint extensions in quantum mechanics : general theory and applications to Schrödinger and Dirac equations with singular potentials, D.M. Gitman, I.V. Tyutin, B.L. Voronov
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