Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials
.
Bookmark this Record
Catalogue Record 28445
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 28445
.
Reviews
Catalogue Record 28445
.
British Library
Resolver for RSN-28445
Google Scholar
Resolver for RSN-28445
WorldCat
Resolver for RSN-28445
Catalogo Nazionale SBN
Resolver for RSN-28445
GoogleBooks
Resolver for RSN-28445
ICTP Library
Resolver for RSN-28445
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
530.15
Title
Self-adjoint Extensions in Quantum Mechanics ([EBook]) : General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials / by D.M. Gitman, I.V. Tyutin, B.L. Voronov.
Author
Gitman, Dmitrij M.
Added Personal Name
Tyutin, Igor Viktorovič
Voronov, Boris L.
Other name(s)
SpringerLink (Online service)
Publication
Boston : Birkhäuser , 2012.
Physical Details
XIII, 511 pages : 3 illus. : online resource.
Series
Progress in Mathematical Physics
; 62
ISBN
9780817646622
Summary Note
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 ânaïveâ  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 a 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.:
Contents note
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 -- Schrödinger Operators with Exactly Solvable Potentials -- Dirac Operator with Coulomb Field -- Schrödinger and Dirac Operators with Aharonov-Bohm and Magnetic-Solenoid Fields.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-8176-4662-2
Links to Related Works
Subject References:
Applications of Mathematics
.
Mathematical Methods in Physics
.
Mathematical Physics
.
Mathematics
.
Operator Theory
.
Quantum Physics
.
Quantum theory
.
Authors:
author
.
Gitman, Dmitrij M.
.
Tyutin, Igor Viktorovič
.
Voronov, Boris L.
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Progress in Mathematical Physics
.
Classification:
530.15
.
.
ISBD Display
Catalogue Record 28445
.
Tag Display
Catalogue Record 28445
.
Related Works
Catalogue Record 28445
.
Marc XML
Catalogue Record 28445
.
Add Title to Basket
Catalogue Record 28445
.
Catalogue Information 28445
Beginning of record
.
Catalogue Information 28445
Top of page
.
Download Title
Catalogue Record 28445
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
28445
1
28445
-
2
28445
-
3
28445
-
4
28445
-
5
28445
-
Quick Search
Search for