Scattering theory for Stark Hamiltonians View Full Text


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Article Info

DATE

1994-11

AUTHORS

Arne Jensen

ABSTRACT

We give an introduction to the spectral and scattering theory for Schrödinger operators. An abstract short range scattering theory is developed. It is applied to perturbations of the Laplacian. Particular attention is paid to the study of Stark Hamiltonians. The main result is an explanation of the discrepancy between the classical and the quantum scattering theory for one-dimensional Stark Hamiltonians. More... »

PAGES

599-651

References to SciGraph publications

  • 1986. Commutator methods and asymptotic completeness for one - dimensional Stark effect Hamiltonians in SCHRÖDINGER OPERATORS, AARHUS 1985
  • 1974. Candidates for óac and Hac in SCATTERING THEORY IN MATHEMATICAL PHYSICS
  • 1981-06. Dilation analyticity in constant electric field in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1959-06. On the existence and the unitary property of the scattering operator in IL NUOVO CIMENTO (1955-1965)
  • 1977-02. Unitary equivalence of stark Hamiltonians in MATHEMATISCHE ZEITSCHRIFT
  • 1980-05. Spectral and scattering theory for a class of strongly oscillating potentials in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1976-02. The existence of wave operators in scattering theory in MATHEMATISCHE ZEITSCHRIFT
  • 1977-10. Spectral and scattering theory of Schrödinger operators related to the stark effect in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1970. Theory of Simple Scattering and Eigenfunction Expansions in FUNCTIONAL ANALYSIS AND RELATED FIELDS
  • 1983. Mathematical Scattering Theory in NONE
  • 1987. Schrödinger Operators, With Applications to Quantum Mechanics and Global Geometry in NONE
  • 1981-01. Absence of singular continuous spectrum for certain self-adjoint operators in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1991-05. Non-existence of wave operators for Stark effect Hamiltonians in MATHEMATISCHE ZEITSCHRIFT
  • 1979-02. Link between the geometrical and the spectral transformation approaches in scattering theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1986-03. Asymptotic completeness for a new class of Stark effect Hamiltonians in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1978-08. Asymptotic completeness for quantum mechanical potential scattering in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02830798

    DOI

    http://dx.doi.org/10.1007/bf02830798

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1086124097


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