Journal of Physics A: Mathematical and General 39(34) 10871-10890 2006年8月
We study the one-dimensional Schrödinger equation and derive exact expressions for the Green function in terms of reflection coefficients which are defined for semi-infinite intervals. We also discuss the relation between our results and the WKB a...
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 39(34) 10871-10890 2006年8月
We study the one-dimensional Schrodinger equation and derive exact expressions for the Green function in terms of reflection coefficients which are defined for semi-infinite intervals. We also discuss the relation between our results and the WKB a...
Journal of Physics A: Mathematical and General 39(22) 7015-7037 2006年6月
The mathematical structure of the reflection coefficients for the one-dimensional Fokker-Planck equation is studied. A new formalism using differential operators is introduced and applied to the analysis in the high- and low-energy regions. Formul...