On some Schrödinger operators with a singular complex potential
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)
- Volume: 5, Issue: 1, page 105-114
- ISSN: 0391-173X
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topKato, Tosio. "On some Schrödinger operators with a singular complex potential." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.1 (1978): 105-114. <http://eudml.org/doc/83770>.
@article{Kato1978,
author = {Kato, Tosio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {105-114},
publisher = {Scuola normale superiore},
title = {On some Schrödinger operators with a singular complex potential},
url = {http://eudml.org/doc/83770},
volume = {5},
year = {1978},
}
TY - JOUR
AU - Kato, Tosio
TI - On some Schrödinger operators with a singular complex potential
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 1
SP - 105
EP - 114
LA - eng
UR - http://eudml.org/doc/83770
ER -
References
top- [1] E. Nelson, Feynman integrals and the Schrödinger equation, J. Mathematical Physics, 5 (1964), pp. 332-343. Zbl0133.22905MR161189
- [2] T. Kato, Schrödinger operators with singular potentials, Israel J. Math., 13 (1972), pp. 135-148. Zbl0246.35025MR333833
- [3] L. Hörmander - J.L. Lions, Sur la complétion par rapport à une intégrale de Dirichlet, Math. Scand., 4 (1956), pp. 259-270. Zbl0078.28003MR87848
- [4] G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble), 15, fasc. 1 (1965), pp. 189-258. Zbl0151.15401MR192177
- [5] T. Kato, Perturbation theory for linear operators, Second Edition, Springer, 1976 Zbl0342.47009MR407617
- [6] P.R. Chernoff, Product formulas, nonlinear semigroups, and addition of unbounded operators, Mem. Amer. Math. Soc., 140 (1974). Zbl0283.47041MR417851
- [7] T. Kato, Trotter's product formula for an arbitrary pair of selfadjoint contraction semigroups, Advances in Math. (to appear). Zbl0461.47018
- [8] T. Kato, A second look at the essential selfadjointness of the Schrödinger operators, Physical Reality and Mathematical Description, D. Reidel Publishing Co., 1974, pp. 193-201. Zbl0328.47023MR477431
Citations in EuDML Documents
top- Antonio de Bivar-Weinholtz, Rémi Piraux, Formule de Trotter pour l’opérateur
- H. Brezis, Quelques propriétés de l’opérateur de Schrödinger
- Donato Fortunato, Remarks on the non self-adjoint Schrödinger operator
- Ognjen Milatovic, On -sectorial Schrödinger-type operators with singular potentials on manifolds of bounded geometry
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