Absolute spectral continuity for N-body Stark hamiltonians
Skibsted, Erik
Annales de l'I.H.P. Physique théorique, Tome 61 (1994), p. 223-243 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1994-01-01
@article{AIHPA_1994__61_2_223_0,
     author = {Skibsted, Erik},
     title = {Absolute spectral continuity for N-body Stark hamiltonians},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {61},
     year = {1994},
     pages = {223-243},
     mrnumber = {1311066},
     zbl = {0812.35115},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1994__61_2_223_0}
}

Skibsted, Erik. Absolute spectral continuity for N-body Stark hamiltonians. Annales de l'I.H.P. Physique théorique, Tome 61 (1994) pp. 223-243. http://gdmltest.u-ga.fr/item/AIHPA_1994__61_2_223_0/

[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. | MR 998660 | Zbl 0668.35078

[D] J. Derezinski, Asymptotic Completeness of Long Range N-Body Quantum Systems, Ann. Math., Vol. 138, 1993, pp. 427-476. | MR 1240577 | Zbl 0844.47005

[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. | MR 682117 | Zbl 0509.35061

[G] G.M. Graf, Asymptotic Completeness for N-Body Short Range Systems: a New Proof, Commun. Math. Phys., Vol. 132, 1990, pp. 73-101. | MR 1069201 | Zbl 0726.35096

[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. | MR 1255425 | Zbl 0819.35105

[HMS] I. Herbst, J.S. Møller, E. Skibsted, Spectral Analysis of N-body Stark Hamiltonians, Aarhus Univ. preprint, 1994, submitted.

[Hö] L. Hörmander, The Analysis of Linear Differential Operators I, Springer, Berlin- Heidelberg-New York, 1990.

[M] M. Mourre, Absence of Singular continuous Spectrum for Certain Selfadjoint Operators, Commun. Math. Phys., Vol. 91, 1981, pp. 391-408. | MR 603501 | Zbl 0489.47010

[PSS] P. Perry, I.M. Sigal, B. Simon, Spectral Analysis of N-Body Schrödinger Operators, Ann. Math., Vol. 114, 1981, pp. 519-567. | MR 634428 | Zbl 0477.35069

[S] I.M. Sigal, Stark Effect in Multielectron System: Non-existence of Bound States, Commun. Math. Phys., Vol. 122, 1989, pp. 1-22. | MR 994493 | Zbl 0684.35079

[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. | MR 1276831