Bound and unbound wave functions at short distances
作者:
Göran Fäldt,
Colin Wilkin,
期刊:
American Journal of Physics
(AIP Available online 1998)
卷期:
Volume 66,
issue 10
页码: 876-881
ISSN:0002-9505
年代: 1998
DOI:10.1119/1.18987
出版商: American Association of Physics Teachers
关键词: 03.65;03.80
数据来源: AIP
摘要:
There exists a simple relationship between a quantum-mechanical bound-state wave function and that of nearby scattering states, when the scattering energy is extrapolated to that of the bound state. This relationship is demonstrated numerically for the case of a spherical well potential and analytically for this and other soluble potentials. Provided that the potential is of a finite range and that the binding is weak, the theorem gives a useful approximation for the short-distance behavior of the scattering wave functions. The connection between bound and scattering-state perturbation theory is established in this limit.
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