Normalization of Certain Higher-Order Phase-Integral Approximations for Wavefunctions of Bound States in a Potential Well
- 1 January 1971
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (1) , 114-117
- https://doi.org/10.1063/1.1665468
Abstract
Furry has given a formula for the normalization integral of a physically acceptable solution of the time-independent 1-dimensional Schrödinger equation corresponding to a bound state. Considering the wavefunction of a bound state in a single-well potential and using Furry's formula and the connection formulas discussed by N. Fröman, we derive the normalization factor for the higher-order phase-integral approximations introduced earlier by N. Fröman. For the special case of the first-order JWKB approximation, the approximate normalization factor thus obtained is equivalent to that given by Pauli and Furry.Keywords
This publication has 2 references indexed in Scilit:
- Connection formulas for certain higher order phase-integral approximationsAnnals of Physics, 1970
- Two Notes on Phase-Integral MethodsPhysical Review B, 1947