原子与分子物理学报Issue(4)：643-646,4.DOI:103969/j.issn.1000-0364.2015.08.021
具有 Eckart 势的 Schrödinger 方程的任意 l 波解析解
Analytical solution to the arbitrary l-wave bound state of the Schrödinger equation for the Eckart potential
摘要
Abstract
The Schrödinger equation including Eckart potential with centrifuge term was investigated using the proper quantization rule approach for any states.Setting the proper quantization rule and using Greene-Aldrich approximation , the energy spectra of Eckart potential can be determined from its ground state energy only.Final-ly, we discussed (1) the influences of the range of potentialηand the depth of potentialλon, respectively, the ground and first excited states for various l, and (2) the relations of radial quantum number n and angular quan-tum number l with energy eigenvalue.关键词
Eckart势/完全量子化规则/Greene-Aldrich近似Key words
Eckart potential/Proper quantization rule/Greene-Aldrich approximation分类
数理科学引用本文复制引用
安博..具有 Eckart 势的 Schrödinger 方程的任意 l 波解析解[J].原子与分子物理学报,2015,(4):643-646,4.基金项目
国家自然科学基金青年科学基金（11304230）；渭南师范学院特色学科建设项目 （）
