Norm group convergence for singular Schrödinger operators
Hughes, Rhonda J. ; Kon, Mark A.
Annales de l'I.H.P. Physique théorique, Tome 54 (1991), p. 179-198 / Harvested from Numdam
Publié le : 1991-01-01
@article{AIHPA_1991__54_2_179_0,
     author = {Hughes, Rhonda J. and Kon, Mark A.},
     title = {Norm group convergence for singular Schr\"odinger operators},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {54},
     year = {1991},
     pages = {179-198},
     mrnumber = {1110651},
     zbl = {0780.35087},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1991__54_2_179_0}
}
Hughes, Rhonda J.; Kon, Mark A. Norm group convergence for singular Schrödinger operators. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) pp. 179-198. http://gdmltest.u-ga.fr/item/AIHPA_1991__54_2_179_0/

[1] S. Albeverio, F. Gesztesy, R. Høegh-Krohn and H. Holden, Solvable Models in Quantum Mechanics, Springer-Verlag, New York, 1988. | MR 926273 | Zbl 0679.46057

[2] S. Albeverio, F. Gesztesy, R. Høegh-Krohn and W. Kirsch, On Point Interactions in One Dimension, J. Operator Theory, Vol. 12, 1984, pp. 101-126. | MR 757115 | Zbl 0561.35023

[3] W.G. Faris, Self-Adjoint Operators, Springer-Verlag, New York, 1975. | MR 467348 | Zbl 0317.47016

[4] C.N. Friedman, Perturbations of the Schrödinger Equation by Potentials with Small Support, J. Funct. Anal., Vol. 10, 1972, pp. 346-360. | MR 340779 | Zbl 0235.35009

[5] F. Gesztesy and H. Holden, A New Class of Solvable Models in Quantum Mechanics Describing Point Interactions on the Line, J. Phys., Vol. A 20, 1987, pp. 5157-5177. | MR 914699 | Zbl 0627.34030

[6] R. Hughes and I. Segal, Singular Perturbations in the Interaction Representation, J. Funct. Anal., Vol. 38, 1980, pp. 71-98. | MR 583242 | Zbl 0454.47014

[7] T. Kato, Perturbation Theory for Linear Operators, Second Edition, Springer-Verlag, New York, 1980. | MR 407617

[8] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I, Funct. Anal., Academic Press, New York, 1972. | MR 493419 | Zbl 0242.46001

[9] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975. | Zbl 0308.47002

[10] I.E. Segal, Singular Perturbations of Semigroup Generators, Linear Operators and Approximation, Proceedings, Conference in Oberwolfach, 1971, pp. 54-68. | Zbl 0257.47026