Widely Separated Deformations of Singular Potential

• Autorzy: Kondej S.
• Konferencja: The Workshop on Current Problems in Physics: Zielona Góra – Lviv, Zielona Góra,19-21 October 2009
• Języki publikacji: EN

Abstrakty

EN

We study the two dimensional quantum system governedby the Schrodinger operator with delta type potential. The interaction is supported by line �ˇ which coincides with a straight at infinity and which admits two widely separated deformations. The aim of this paper is to express the number of bound states of our system by the number of bound states of the system with single deformation.

Słowa kluczowe

EN

singular potential; bound states

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2010
• Tom: Vol. 16, No. 2
• Strony: 165--167
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Kondej S.

• Institute of Physics, University of Zielona Góra, ul. Szafrana 4a, 65-246 Zielona Góra, Poland,

Bibliografia

• [1] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, H. Holden, Solvable Models in Quantum Mechanics. 2nd printing (with Appendix by P. Exner), AMS, Providence, R.I. (2004).
• [2] P. Exner, T. Ichinose, Geometrically induced spectrum in curved leaky wires. J. Phys. A34, 1439-1450 (2001).
• [3] P. Exner, S. Kondej, Scattering by local deformations of a straight leaky wire. J. Phys. A38, 4865-4874 (2005).
• [4] J. Cisło, S. Kondej, Upper bound for the number of bound states induced by the curvature of singular potential. submitted.
• [5] J.F. Brasche, P. Exner, Yu.A. Kuperin, P. Šeba, Schrödinger operators with singular interactions. J. Math. Anal. Appl. 184, 112-139 (1994).