An underrated entanglement: Riccati and Schrödinger equations
作者:
Stephen B. Haley,
期刊:
American Journal of Physics
(AIP Available online 1997)
卷期:
Volume 65,
issue 3
页码: 237-243
ISSN:0002-9505
年代: 1997
DOI:10.1119/1.18535
出版商: American Association of Physics Teachers
关键词: 02.;03.65
数据来源: AIP
摘要:
The solution of the time-independent Schrödinger equation is fractionated by solving a corresponding Riccati equation. Simple particular solutions of the Riccati equation are used to construct exact ground state energy eigenvalues and eigenfunctions of otherwise complex problems without solving for the complete energy spectrum. In some instances, a partial series of the complete spectrum is also obtained with little extra effort. A procedure for obtaining the complete energy spectrum from the Riccati equation is also presented, and the entire method is illustrated by detailed analysis of several examples.
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