A Rodrigues formula approach to determining closed-form solutions to the Schrödinger equation for symmetric anharmonic oscillators
- 1 February 1989
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 30 (2) , 406-412
- https://doi.org/10.1063/1.528459
Abstract
A natural generalization to the Rodrigues formula for the Hermite polynomials leads to the definition of sets of polynomials. Under certain constraints they are used to explain the existence of closed-form solutions to the Schrödinger equation for symmetric anharmonic potential wells and to obtain further closed-form solutions.Keywords
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