Semiclassical approximation and 1/n expansion in quantum-mechanical problems

被引:0
|
作者
B. M. Karnakov
V. D. Mur
V. S. Popov
机构
[1] Moscow State Engineering Physics Institute (Technical University),
[2] Institute of Theoretical Physics and Experimental Physics,undefined
来源
Physics of Atomic Nuclei | 2001年 / 64卷
关键词
Wave Function; Elementary Particle; Quantum Number; Semiclassical Approximation; Satisfactory Precision;
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学科分类号
摘要
The semiclassical approximation and the technique of 1/n expansion are used to calculate the eigenenergies and the wave functions for the radial Schrödinger equation. It is shown that the expressions that are asymptotically exact in the limit n=nr+l+1 → ∞ and which describe the above eigenenergies and the asymptotic coefficients at the origin and at infinity ensure a satisfactory precision even for states characterized by modest values of the quantum numbers nr and l, including the ground state.
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页码:670 / 690
页数:20
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