On some Schrödinger operators with a singular complex potential
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 5 (1978) no. 1, pp. 105-114.
@article{ASNSP_1978_4_5_1_105_0,
     author = {Kato, Tosio},
     title = {On some {Schr\"odinger} operators with a singular complex potential},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {105--114},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 5},
     number = {1},
     year = {1978},
     mrnumber = {492961},
     zbl = {0376.47021},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1978_4_5_1_105_0/}
}
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
SP  - 105
EP  - 114
VL  - 5
IS  - 1
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1978_4_5_1_105_0/
LA  - en
ID  - ASNSP_1978_4_5_1_105_0
ER  - 
%0 Journal Article
%A Kato, Tosio
%T On some Schrödinger operators with a singular complex potential
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1978
%P 105-114
%V 5
%N 1
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1978_4_5_1_105_0/
%G en
%F ASNSP_1978_4_5_1_105_0
Kato, Tosio. On some Schrödinger operators with a singular complex potential. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 5 (1978) no. 1, pp. 105-114. http://archive.numdam.org/item/ASNSP_1978_4_5_1_105_0/

[1] E. Nelson, Feynman integrals and the Schrödinger equation, J. Mathematical Physics, 5 (1964), pp. 332-343. | MR | Zbl

[2] T. Kato, Schrödinger operators with singular potentials, Israel J. Math., 13 (1972), pp. 135-148. | MR | Zbl

[3] L. Hörmander - J.L. Lions, Sur la complétion par rapport à une intégrale de Dirichlet, Math. Scand., 4 (1956), pp. 259-270. | EuDML | MR | Zbl

[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. | EuDML | Numdam | MR | Zbl

[5] T. Kato, Perturbation theory for linear operators, Second Edition, Springer, 1976 | MR | Zbl

[6] P.R. Chernoff, Product formulas, nonlinear semigroups, and addition of unbounded operators, Mem. Amer. Math. Soc., 140 (1974). | MR | Zbl

[7] T. Kato, Trotter's product formula for an arbitrary pair of selfadjoint contraction semigroups, Advances in Math. (to appear). | Zbl

[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. | MR | Zbl