Author | Frรถman, Nanny. author |
---|---|
Title | Phase-Integral Method [electronic resource] : Allowing Nearlying Transition Points / by Nanny Frรถman, Per Olof Frรถman |
Imprint | New York, NY : Springer New York, 1996 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2342-9 |
Descript | X, 250 p. online resource |
1 Phase-Integral Approximation of Arbitrary Order Generated from an Unspecified Base Function -- 1.1 Introduction -- 1.2 The So-Called WKB Approximation, Its Deficiencies in Higher Order, and Early Attempts to Remedy These Deficiencies -- 1.3 Phase-Integral Approximation of Arbitrary Order, Generated from an Unspecified Base Function -- 1.4 Advantage of Phase-Integral Approximation Versus WKB Approximation in Higher Order -- 1.5 Relations Between Solutions of the Schrรถdinger Equation and the q-Equation -- 1.6 Phase-Integral Method -- Appendix: Phase-Amplitude Relation -- References -- 2 Technique of the Comparison Equation Adapted to the Phase-Integral Method -- 2.1 Background -- 2.2 Comparison Equation Technique -- 2.3 Derivation of the Arbitrary-Order Phase-Integral Approximation from the Comparison Equation Solution -- 2.4 Summary of the Procedure and the Results -- References -- Adjoined Papers -- 3 Problem Involving One Transition Zero -- 4 Relations Between Different Nonoscillating Solutions of the q-Equation Close to a Transition Zero -- 5 Cluster of Two Simple Transitions Zeros -- 6 Phase-Integral Formulas for the Regular Wave Function When There Are Turning Points Close to a Pole of the Potential -- 7 Normalized Wave Function of the Radial Schrรถdinger Equation Close to the Origin -- 8 Phase-Amplitude Method Combined with Comparison Equation Technique Applied to an Important Special Problem -- 9 Improved Phase-Integral Treatment of the Combined Linear and Coulomb Potential -- 10 High-Energy Scattering from a Yukawa Potential -- 11 Probabilities for Transitions Between Bound States in a Yukawa Potential, Calculated with Comparison Equation Technique -- Author Index