Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms

被引：48
|
作者：
Znojil, M [1 ]
机构：
[1] Ustav Jaderne Fyz AV CR, OTF, Rez 25068, Czech Republic
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 22期
关键词：
D O I：
10.1088/0305-4470/33/22/320
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A PI-symmetrized radial Schrodinger equation in D dimensions is considered with complex potentials V(x) = -x(4) + iax(3) + bx(2) + icx + idx(-1). Finite(though arbitrarily large) multiplets of exact bound states are constructed analytically. Their elementary form is determined by a single, finite-dimensional secular equation. It interrelates their energies and couplings. In one dimension one gets Bender and Boettcher's d = 0 solutions.
引用
收藏
页码：4203 / 4211
页数：9
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