On Wentzel’s proof of the quantization condition for a single-well potential
- 1 January 1977
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (1) , 96-99
- https://doi.org/10.1063/1.523122
Abstract
Wentzel’s elegant method for deriving the quantal generalization of the Sommerfeld quantization condition, which has been criticized by other authors, is justified and put on an irrefutable basis. Clarifying comments on some questions related to the discussion in the present paper are also made.Keywords
This publication has 17 references indexed in Scilit:
- Error analysis of phase-integral methods. I. General theory for simple turning pointsJournal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics, 1965
- The short-wavelength approximation to the Schrödinger equationIl Nuovo Cimento (1869-1876), 1965
- A direct proof for the condition of the method of the stationary phase integral for radial Schrödinger equationActa Physica Academiae Scientiarum Hungaricae, 1962
- Error bounds for the Liouville–Green (or WKB) approximationMathematical Proceedings of the Cambridge Philosophical Society, 1961
- Zur asymptotischen Integration von DifferentialgleichungenMathematische Zeitschrift, 1942
- A Contribution to the Theory of the B. W. K. MethodPhysical Review B, 1935
- Quantum mechanics and asymptotic seriesBulletin of the American Mathematical Society, 1933
- The Wentzel-Brillouin-Kramers Method of Solving the Wave EquationPhysical Review B, 1932
- Wellenmechanik und halbzahlige QuantisierungThe European Physical Journal A, 1926
- Eine Verallgemeinerung der Quantenbedingungen f r die Zwecke der WellenmechanikThe European Physical Journal A, 1926