Semiclassical Asymptotics of the Solution to the Cauchy Problem for the Schrödinger Equation with a Delta Potential Localized on a Codimension 1 Surface

Author:

Shafarevich A. I.,Shchegortsova O. A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference9 articles.

1. S. Albeverio, F. Gesztesy, R. Høegh-Krohn, and H. Holden, Solvable Models in Quantum Mechanics (AMS Chelsea Publ., Providence, RI, 2005).

2. LMS Lect. Note Ser.;S. Albeverio,2000

3. F. A. Berezin and L. D. Faddeev, “A remark on Schrödinger’s equation with a singular potential,” Sov. Math., Dokl. 2, 372–375 (1961) [transl. from Dokl. Akad. Nauk SSSR 137 (5), 1011–1014 (1961)].

4. T. A. Filatova and A. I. Shafarevich, “Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere,” Theor. Math. Phys. 164 (2), 1064–1080 (2010) [transl. from Teor. Mat. Fiz. 164 (2), 279–298 (2010)].

5. R. de L. Kronig and W. G. Penney, “Quantum mechanics of electrons in crystal lattices,” Proc. R. Soc. London A 130, 499–513 (1931).

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