Absolute spectral continuity for N-body Stark hamiltonians

Erik Skibsted

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 61, Issue: 2, page 223-243
  • ISSN: 0246-0211

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Skibsted, Erik. "Absolute spectral continuity for N-body Stark hamiltonians." Annales de l'I.H.P. Physique théorique 61.2 (1994): 223-243. <http://eudml.org/doc/76655>.

@article{Skibsted1994,
author = {Skibsted, Erik},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Stark effect; -body Stark Hamiltonians},
language = {eng},
number = {2},
pages = {223-243},
publisher = {Gauthier-Villars},
title = {Absolute spectral continuity for N-body Stark hamiltonians},
url = {http://eudml.org/doc/76655},
volume = {61},
year = {1994},
}

TY - JOUR
AU - Skibsted, Erik
TI - Absolute spectral continuity for N-body Stark hamiltonians
JO - Annales de l'I.H.P. Physique théorique
PY - 1994
PB - Gauthier-Villars
VL - 61
IS - 2
SP - 223
EP - 243
LA - eng
KW - Stark effect; -body Stark Hamiltonians
UR - http://eudml.org/doc/76655
ER -

References

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  1. [AHS] S. Agmon, I. Herbst, E. Skibsted, Perturbation of Embedded Eigenvalues in the Generalized N-Body Problem, Commun. Math. Phys., Vol. 122, 1989, pp. 411-438. Zbl0668.35078MR998660
  2. [D] J. Derezinski, Asymptotic Completeness of Long Range N-Body Quantum Systems, Ann. Math., Vol. 138, 1993, pp. 427-476. Zbl0844.47005MR1240577
  3. [FH] R. Froese, I. Herbst, Exponential Bounds and Absence of Positive Eigenvalues for N-Body Schrödinger Operators, Commun. Math. Phys., Vol. 87, 1982, pp. 429-447. Zbl0509.35061MR682117
  4. [G] G.M. Graf, Asymptotic Completeness for N-Body Short Range Systems: a New Proof, Commun. Math. Phys., Vol. 132, 1990, pp. 73-101. Zbl0726.35096MR1069201
  5. [He] I. Herbst, Perturbation Theory for the Decay Rate of Eigenfunctions in the Generalized N-Body problem, Commun. Math. Phys., Vol. 158, 1993, pp. 517-536. Zbl0819.35105MR1255425
  6. [HMS] I. Herbst, J.S. Møller, E. Skibsted, Spectral Analysis of N-body Stark Hamiltonians, Aarhus Univ. preprint, 1994, submitted. Zbl0846.35095
  7. [Hö] L. Hörmander, The Analysis of Linear Differential Operators I, Springer, Berlin- Heidelberg-New York, 1990. 
  8. [M] M. Mourre, Absence of Singular continuous Spectrum for Certain Selfadjoint Operators, Commun. Math. Phys., Vol. 91, 1981, pp. 391-408. Zbl0489.47010MR603501
  9. [PSS] P. Perry, I.M. Sigal, B. Simon, Spectral Analysis of N-Body Schrödinger Operators, Ann. Math., Vol. 114, 1981, pp. 519-567. Zbl0477.35069MR634428
  10. [S] I.M. Sigal, Stark Effect in Multielectron System: Non-existence of Bound States, Commun. Math. Phys., Vol. 122, 1989, pp. 1-22. Zbl0684.35079MR994493
  11. [T] H. Tamura, Spectral Analysis for N-Particle Systems with Stark Effect: Non-existence of Bound States and Principle of Limiting Absorption, Ibaraki Univ. preprint, 1993. MR1276831

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