Electrons in logarithmic potentials. I. Solution of the Schrodinger equation
- 1 April 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (4) , 679-686
- https://doi.org/10.1088/0305-4470/11/4/008
Abstract
The asymptotic behaviour of the general solution of Schrodinger's equation for an electron in a logarithmic potential is derived from stability theorems, and the energy spectrum is investigated in both the attractive and repulsive cases. The general solution is represented by a uniformly convergent perturbation expansion which may be used to calculate electron interferences.Keywords
This publication has 6 references indexed in Scilit:
- On the statistical aspect of electron interference phenomenaAmerican Journal of Physics, 1976
- An Experiment on Electron InterferenceAmerican Journal of Physics, 1973
- Zur Spektraltheorie von Sturm-Liouville-OperatorenMathematische Zeitschrift, 1967
- Uniqueness of the self-adjoint extension of singular elliptic differential operatorsArchive for Rational Mechanics and Analysis, 1962
- Beobachtungen und Messungen an Biprisma-Interferenzen mit ElektronenwellenThe European Physical Journal A, 1956
- Singul re elliptische Differentialoperatoren in Hilbertschen R umenMathematische Annalen, 1956