

Author: Chikhachev Alexander
Publisher: Springer Publishing Company
ISSN: 1071-2836
Source: Journal of Russian Laser Research, Vol.31, Iss.4, 2010-07, pp. : 338-342
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We study the exact solution of the Schrödinger equation with a δ-potential in the spherical coordinate system. We consider both stationary and nonstationary problems. We obtain solutions for bound states described by functions decreasing rapidly with the radius and solutions characterized by an oscillatory asymptotic behavior.
Related content


Relativistic dynamics of spherical timelike shells
By Kijowski J. Magli G. Malafarina D.
General Relativity and Gravitation, Vol. 38, Iss. 11, 2006-11 ,pp. :


On a Method of Perturbation Applied to Spherical Shells
By Cambou J. P.
Acta Acustica united with Acustica, Vol. 35, Iss. 1, 1976-04 ,pp. :


Patterns of convection in rotating spherical shells
New Journal of Physics, Vol. 5, Iss. 1, 2003-07 ,pp. :


Compression, crumpling and collapse of spherical shells and capsules
New Journal of Physics, Vol. 13, Iss. 4, 2011-04 ,pp. :


Secondary polygonal instability of buckled spherical shells
By Knoche Sebastian Kierfeld Jan
EPL (EUROPHYSICS LETTERS), Vol. 106, Iss. 2, 2014-04 ,pp. :