A set of exact solutions for singular integral equation and a divergence problem of 1D hydrogen atom in momentum representation

被引：0

作者：

Liu, Y ^{[1
]}

Dai, JX

Dai, JQ

Dai, XX

机构：

[1] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China

[2] NYU, Dept Chem, New York, NY 10003 USA

[3] Univ Chicago, Dept Chem, Chicago, IL 60367 USA

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2000年 / 33卷 / 04期

关键词：

exact solution; singular integral equation; divergence problem in momentum space; Wigner crystal;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The divergence problem in momentum representation of some singular potentials in Schrodinger equation is discussed. A set of exact solutions for a singular integral equation and the criteria determining the solutions in momentum space are obtained. The problems on Loudon's symmetric solutions and counter example of nondegeneracy theorem are solved.

引用

页码：697 / 700

页数：4

共 9 条

[1] SINGULAR POTENTIALS
CASE, KM
[J]. PHYSICAL REVIEW, 1950, 80 (05): : 797 - 806
[2] Orthogonality criteria for singular states and the nonexistence of stationary states with even parity for the one-dimensional hydrogen atom
Dai, XX
Dai, JX
Dai, JQ
[J]. PHYSICAL REVIEW A, 1997, 55 (04): : 2617 - 2624
[3] DAI XX, 1978, HIGH ENERG PHYS NUC, V2, P225
[4] DAI XX, 1980, P 1980 GUAGZH C THEO, V2, P1373
[5] HU SZ, 1991, FUDAN J, V30, P345
[6] Loudon R., 1959, AM J PHYS, V27, P649, DOI [DOI 10.1119/1.1934950, 10.1119/1.1934950]
[7] SCHNIDON IN, 1951, FOURIER TRANSFORM, P523
[8] VLADIMIROV VS, PROBLEMS MATH PHYSIC
[9] Effects of the electron interaction on the energy levels of electrons in metals.
Wigner, E
[J]. TRANSACTIONS OF THE FARADAY SOCIETY, 1938, 34 (01): : 0678 - 0685

← 1 →