Norm group convergence for singular Schrödinger operators

Rhonda J. Hughes; Mark A. Kon

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 54, Issue: 2, page 179-198
  • ISSN: 0246-0211

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Hughes, Rhonda J., and Kon, Mark A.. "Norm group convergence for singular Schrödinger operators." Annales de l'I.H.P. Physique théorique 54.2 (1991): 179-198. <http://eudml.org/doc/76527>.

@article{Hughes1991,
author = {Hughes, Rhonda J., Kon, Mark A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Hamiltonian operators; Fourier transform; Schrödinger groups},
language = {eng},
number = {2},
pages = {179-198},
publisher = {Gauthier-Villars},
title = {Norm group convergence for singular Schrödinger operators},
url = {http://eudml.org/doc/76527},
volume = {54},
year = {1991},
}

TY - JOUR
AU - Hughes, Rhonda J.
AU - Kon, Mark A.
TI - Norm group convergence for singular Schrödinger operators
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 54
IS - 2
SP - 179
EP - 198
LA - eng
KW - Hamiltonian operators; Fourier transform; Schrödinger groups
UR - http://eudml.org/doc/76527
ER -

References

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  1. [1] S. Albeverio, F. Gesztesy, R. Høegh-Krohn and H. Holden, Solvable Models in Quantum Mechanics, Springer-Verlag, New York, 1988. Zbl0679.46057MR926273
  2. [2] S. Albeverio, F. Gesztesy, R. Høegh-Krohn and W. Kirsch, On Point Interactions in One Dimension, J. Operator Theory, Vol. 12, 1984, pp. 101-126. Zbl0561.35023MR757115
  3. [3] W.G. Faris, Self-Adjoint Operators, Springer-Verlag, New York, 1975. Zbl0317.47016MR467348
  4. [4] C.N. Friedman, Perturbations of the Schrödinger Equation by Potentials with Small Support, J. Funct. Anal., Vol. 10, 1972, pp. 346-360. Zbl0235.35009MR340779
  5. [5] F. Gesztesy and H. Holden, A New Class of Solvable Models in Quantum Mechanics Describing Point Interactions on the Line, J. Phys., Vol. A 20, 1987, pp. 5157-5177. Zbl0627.34030MR914699
  6. [6] R. Hughes and I. Segal, Singular Perturbations in the Interaction Representation, J. Funct. Anal., Vol. 38, 1980, pp. 71-98. Zbl0454.47014MR583242
  7. [7] T. Kato, Perturbation Theory for Linear Operators, Second Edition, Springer-Verlag, New York, 1980. Zbl0435.47001MR407617
  8. [8] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I, Funct. Anal., Academic Press, New York, 1972. Zbl0242.46001MR493419
  9. [9] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975. Zbl0308.47002
  10. [10] I.E. Segal, Singular Perturbations of Semigroup Generators, Linear Operators and Approximation, Proceedings, Conference in Oberwolfach, 1971, pp. 54-68. Zbl0257.47026

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