Solvable Models in Quantum Mechanics [E-Book] / by Sergio Albeverio, Friedrich Gesztesy, Raphael Høegh-Krohn, Helge Holden.
Albeverio, Sergio, (author)
Gesztesy, Friedrich, (author) / Holden, Helge, (author) / Høegh-Krohn, Raphael, (author)
Berlin, Heidelberg : Springer, 1988
XIV, 452 p. 44 illus. online resource.
englisch
9783642882012
10.1007/978-3-642-88201-2
Texts and Monographs in Physics
Full Text
Table of Contents:
  • I The One-Center Point Interaction
  • I.1 The One-Center Point Interaction in Three Dimensions
  • I.2 Coulomb Plus One-Center Point Interaction in Three Dimensions
  • I.3 The One-Center ?-Interaction in One Dimension
  • I.4 The One-Center ??-Interaction in One Dimension
  • I.5 The One-Center Point Interaction in Two Dimensions
  • II Point Interactions with a Finite Number of Centers
  • II.1 Finitely Many Point Interactions in Three Dimensions
  • II.2 Finitely Many ?-Interactions in One Dimension
  • II.3 Finitely Many ??-Interactions in One Dimension
  • II.4 Finitely Many Point Interactions in Two Dimensions
  • III Point Interactions with Infinitely Many Centers
  • III.1 Infinitely Many Point Interactions in Three Dimensions
  • III.2 Infinitely Many ?-Interactions in One Dimension
  • III.3 Infinitely Many ??-Interactions in One Dimension
  • III.4 Infinitely Many Point Interactions in Two Dimensions
  • III.5 Random Hamiltonians with Point Interactions
  • Appendices
  • A Self-Adjoint Extensions of Symmetric Operators
  • B Spectral Properties of Hamiltonians Defined as Quadratic Forms
  • C Schrödinger Operators with Interactions Concentrated Around Infinitely Many Centers
  • D Boundary Conditions for Schrödinger Operators on (0, ?)
  • E Time-Dependent Scattering Theory for Point Interactions
  • F Dirichlet Forms for Point Interactions
  • G Point Interactions and Scales of Hilbert Spaces
  • H Nonstandard Analysis and Point Interactions
  • H.1 A Very Short Introduction to Nonstandard Analysis
  • H.2 Point Interactions Using Nonstandard Analysis
  • I Elements of Probability Theory
  • J Relativistic Point Interactions in One Dimension
  • References.