On some Schrödinger operators with a singular complex potential

 Access to full text

 Full (PDF)

1. [1] E. Nelson, Feynman integrals and the Schrödinger equation, J. Mathematical Physics, 5 (1964), pp. 332-343. Zbl0133.22905MR161189
2. [2] T. Kato, Schrödinger operators with singular potentials, Israel J. Math., 13 (1972), pp. 135-148. Zbl0246.35025MR333833
3. [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. [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. [5] T. Kato, Perturbation theory for linear operators, Second Edition, Springer, 1976 Zbl0342.47009MR407617
6. [6] P.R. Chernoff, Product formulas, nonlinear semigroups, and addition of unbounded operators, Mem. Amer. Math. Soc., 140 (1974). Zbl0283.47041MR417851
7. [7] T. Kato, Trotter's product formula for an arbitrary pair of selfadjoint contraction semigroups, Advances in Math. (to appear). Zbl0461.47018
8. [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

1. Antonio de Bivar-Weinholtz, Rémi Piraux, Formule de Trotter pour l’opérateur $-\Delta +q^{+}-q^{-}+iq{}^{\text{'}}$
2. H. Brezis, Quelques propriétés de l’opérateur de Schrödinger $-\Delta +V$
3. Ognjen Milatovic, On $m$-sectorial Schrödinger-type operators with singular potentials on manifolds of bounded geometry
4. Donato Fortunato, Remarks on the non self-adjoint Schrödinger operator