Wave function at the origin for large-n S-wave levels

Gupta, V. ; Rajaraman, R. (1979) Wave function at the origin for large-n S-wave levels Physical Review D - Particles, Fields, Gravitation and Cosmology, 19 (2). pp. 697-701. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v19/i2/p697_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.19.697


We show, within the WKB approximation, that for large-n S-wave levels |ϕn+1(0)|-|ϕn(0)| has the same sign as the curvature V"(r) of the potential, for a large class of central potentials with definite curvature. The result is shown to be supported by known exact results for solvable models and provides an extension to high-n levels of Martin's result for |ϕ2S(0)|-|ϕ1S(0)|. As a byproduct, we also obtain the result (∂/∂m){(1/m)[φn(0)]2}>~<0 if V"(r)<~>0.

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ID Code:56079
Deposited On:22 Aug 2011 12:43
Last Modified:22 Aug 2011 12:43

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