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

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 problem...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Gitman, D.M (Author), Tyutin, I.V (Author), Voronov, B.L (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
Edition:1st ed. 2012.
Series:Progress in Mathematical Physics, 62
Subjects:
Mathematical physics.
Operator theory.
Quantum physics.
Mathematics.
Mathematical Physics.
Mathematical Methods in Physics.
Operator Theory.
Quantum Physics.
Applications of Mathematics.
Online Access:Texto Completo
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
  • Schrödinger Operators with Exactly Solvable Potentials
  • Dirac Operator with Coulomb Field
  • Schrödinger and Dirac Operators with Aharonov-Bohm and Magnetic-Solenoid Fields.

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