WKB solutions of the Schrodinger equation with a quartic potential

被引：3

作者：

Xiao, C. Z. ^{[1
,2
,3
]}

Wang, Q. ^{[2
,4
]}

Myatt, J. F. ^{[2
]}

机构：

[1] Hunan Univ, Sch Phys & Elect, Changsha 410082, Peoples R China

[2] Univ Alberta, Dept Elect & Comp Engn, 9211 116 St NW, Edmonton, AB T6G 1H9, Canada

[3] Shanghai Jiao Tong Univ, Collaborat Innovat Ctr IFSA CICIFSA, Shanghai 200240, Peoples R China

[4] Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China

来源：

AIP ADVANCES | 2023年 / 13卷 / 11期

关键词：

RAMAN SIDE-SCATTER;

D O I：

10.1063/5.0179124

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

The Schrodinger equation with a quartic potential is a fundamental equation describing the physics of stimulated side scattering, but no exact, even approximate solution has been formulated yet. Here, the approximate solutions to such a Schrodinger equation are derived using the WKBJ method under different variables. The solutions are accurate enough in most cases. Eigenvalues and eigenfunctions, which are the most impressive properties of such equations, are also discussed.

引用

页数：9