ON THE STRUCTURE OF LARGE ORDERS IN 1/N-EXPANSION

被引:0
|
作者
POPOV, VS [1 ]
SERGEEV, AV [1 ]
SHCHEBLYKIN, AV [1 ]
机构
[1] SI VAVILOV STATE OPT INST,ST PETERSBURG,RUSSIA
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The asymptotic behaviour of large orders in 1/n-expansion is found for the problems of quantum mechanics. The coefficients of 1/n-expansion epsilon(k) are shown to increase as a factorial k! a(k) at k-->infinity. The a-parameter vs coupling constant dependence is studied. The analytic formulas obtained agree with the numerical calculations. The structure of 1/n-expansion is considered in detail for the Yukawa, Hulten and funnel potentials, as well as for the Stark effect in hydrogen and for the molecular ion H.
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页码:1453 / 1468
页数:16
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