Odd anharmonic oscillators and shape resonances

E. Caliceti; M. Maioli

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 38, Issue: 2, page 175-186
  • ISSN: 0246-0211

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Caliceti, E., and Maioli, M.. "Odd anharmonic oscillators and shape resonances." Annales de l'I.H.P. Physique théorique 38.2 (1983): 175-186. <http://eudml.org/doc/76192>.

@article{Caliceti1983,
author = {Caliceti, E., Maioli, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {anharmonic oscillators; shape resonances; uniform boundedness of the resolvents; Weyl sequence; bound state perturbation theory; dilation analytic potentials; generalized resonances; dilation analyticity},
language = {eng},
number = {2},
pages = {175-186},
publisher = {Gauthier-Villars},
title = {Odd anharmonic oscillators and shape resonances},
url = {http://eudml.org/doc/76192},
volume = {38},
year = {1983},
}

TY - JOUR
AU - Caliceti, E.
AU - Maioli, M.
TI - Odd anharmonic oscillators and shape resonances
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 38
IS - 2
SP - 175
EP - 186
LA - eng
KW - anharmonic oscillators; shape resonances; uniform boundedness of the resolvents; Weyl sequence; bound state perturbation theory; dilation analytic potentials; generalized resonances; dilation analyticity
UR - http://eudml.org/doc/76192
ER -

References

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  1. [1] N.I. Akhiezer, I.M. Glazman, Theory of Linear Operators in Hilbert Space, vol. II, New York, Ungar, 1963. Zbl0098.30702
  2. [2] E. Caliceti, S. Graffi, M. Maioli, Comm. Math. Phys., t. 75, 1980, p. 51-66. Zbl0446.47044MR581569
  3. [3] S. Coleman, The Uses of Instantons. Lectures delivered at the 1977, International School of Subnuclear Physics Ettore Majorana. 
  4. [4] A. Davydov, Quantum Mechanics, Oxford, New York, Pergamon Press, 1965. MR468691
  5. [5] I.M. Glazman, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators. Jerusalem, Israel Program for Scientific Translations, 1965. Zbl0143.36505MR190800
  6. [6] E. Vock, W. Hunziker, Stability of Schrödinger Eigenvalue Problems. Comm. Math. Phys., t. 83, 1982, p. 281-302. Zbl0528.35023MR649163
  7. [7] T. Kato, Perturbation Theory for Linear Operators. Berlin, Heidelberg, New York, Springer, 1966. Zbl0148.12601MR203473
  8. [8] M.A. Naimark, Linear Differential Operators, Part II, New York, Ungar, 1968. Zbl0227.34020
  9. [9] M. Reed, B. Simon, Methods of Modern Mathematical Physics, vol. II, New York, Academic Press, 1975. Zbl0308.47002
  10. [10] M. Reed, B. Simon, Methods of Modern Mathematical Physics, vol. IV, New York, Academic Press, 1976. Zbl0401.47001

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