Formule de Trotter pour l’opérateur - Δ + q + - q - + i q '

Antonio de Bivar-Weinholtz; Rémi Piraux

Annales de la Faculté des sciences de Toulouse : Mathématiques (1983)

  • Volume: 5, Issue: 1, page 15-37
  • ISSN: 0240-2963

How to cite

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Bivar-Weinholtz, Antonio de, and Piraux, Rémi. "Formule de Trotter pour l’opérateur $- \Delta + q^+ - q^- + iq \,^{\prime }$." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.1 (1983): 15-37. <http://eudml.org/doc/73140>.

@article{Bivar1983,
author = {Bivar-Weinholtz, Antonio de, Piraux, Rémi},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Semigroup; Trotter Product Formula; Schrödinger Operator},
language = {fre},
number = {1},
pages = {15-37},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Formule de Trotter pour l’opérateur $- \Delta + q^+ - q^- + iq \,^\{\prime \}$},
url = {http://eudml.org/doc/73140},
volume = {5},
year = {1983},
}

TY - JOUR
AU - Bivar-Weinholtz, Antonio de
AU - Piraux, Rémi
TI - Formule de Trotter pour l’opérateur $- \Delta + q^+ - q^- + iq \,^{\prime }$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1983
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 1
SP - 15
EP - 37
LA - fre
KW - Semigroup; Trotter Product Formula; Schrödinger Operator
UR - http://eudml.org/doc/73140
ER -

References

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  1. [1] A. Bivar-Weinholtz, R. Piraux. «Formule de Trotter pour l'opérateur de Schrödinger avec un potentiel singulier complexe». C.R. Acad. Sc.Paris, 288, Série A, 1979, p. 539-542. Zbl0404.35029MR532567
  2. [2] H. Brezis, F. Browder. «Sur une propriété des espaces de Sobolev». C.R. Acad. Sc.Paris, 287, Série A, 1978, p. 113-115. Zbl0381.46019MR511925
  3. [3] H. Brezis, T. Kato. «Remarks on the Schrödinger operator with singular complex potentials». J. Math. Pures et Appl.58, 1979, p. 137-151. Zbl0408.35025MR539217
  4. [4] P.R. Chernoff. «Product formulas, non linear semigroups, and addition of unbounded operators». Mem. An. Math. Society, n° 140 (1974). Zbl0283.47041MR417851
  5. [5] T. Kato. «Perturbation Theory for linear operators». Springer-Verlag (2nd edition - 1976). Zbl0148.12601MR407617
  6. [6] T. Kato. «On some Schrôdinger operators with a singular complex potential». Ann. Sc. Norm. Sup. Pisa, Ser. IV, 5 (1978), p. 105-114. Zbl0376.47021MR492961

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