Exact Solution of the One-Dimensional Schrödinger Equation with-Function Potentials of Arbitrary Position and Strength
- 15 January 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 5 (2) , 556-565
- https://doi.org/10.1103/physrevb.5.556
Abstract
The exact solution to the one-dimensional Schrödinger equation which describes the motion of a particle scattering off a finite set of -function potentials of arbitrary strengths and positions is found. The behavior of the matrix both on and off the energy shell is also precisely given. Localization of states is discussed.
Keywords
This publication has 5 references indexed in Scilit:
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- Review of the theory of amorphous semiconductorsJournal of Non-Crystalline Solids, 1970
- Inversion Problem with Separable PotentialsJournal of Mathematical Physics, 1969
- Electrons in disordered structuresAdvances in Physics, 1967
- The nature of the electronic states in disordered one-dimensional systemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963