Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials
Author:   D.M. Gitman ,  I.V. Tyutin ,  B.L. Voronov
Publisher:   Birkhauser Boston Inc
Edition:   2012 ed.
Volume:   62
ISBN:  

9780817644000


Pages:   511
Publication Date:   27 April 2012
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials


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Author:   D.M. Gitman ,  I.V. Tyutin ,  B.L. Voronov
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2012 ed.
Volume:   62
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   0.951kg
ISBN:  

9780817644000


ISBN 10:   0817644008
Pages:   511
Publication Date:   27 April 2012
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Introduction.- Linear Operators in Hilbert Spaces.- Basics of Theory of s.a. Extensions of Symmetric Operators.- Differential Operators.- Spectral Analysis of s.a. Operators.- Free One-Dimensional Particle on an Interval.- One-Dimensional Particle in Potential Fields.- Schroedinger Operators with Exactly Solvable Potentials.- Dirac Operator with Coulomb Field.- Schroedinger and Dirac Operators with Aharonov-Bohm and Magnetic-Solenoid Fields.

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From the reviews: In an infinite-dimensional Hilbert space a symmetric, unbounded operator is not necessarily self-adjoint. ... The monograph by Gitman, Tyutin and Voronov is devoted to this problem. Its aim is to provide students and researchers in mathematical and theoretical physics with mathematical background on the theory of self-adjoint operators. (Rupert L. Frank, Mathematical Reviews, February, 2013)


From the reviews: In an infinite-dimensional Hilbert space a symmetric, unbounded operator is not necessarily self-adjoint. ... The monograph by Gitman, Tyutin and Voronov is devoted to this problem. Its aim is to provide students and researchers in mathematical and theoretical physics with mathematical background on the theory of self-adjoint operators. (Rupert L. Frank, Mathematical Reviews, February, 2013)


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