ARBITRARY l-WAVE BOUND STATE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE ECKART POTENTIAL

Autor:	Liang-Zhong Yi, Tao Chen, Yong-Feng Diao, Chun-Sheng Jia
Rok vydání:	2009
Předmět:	Physics Angular momentum Mathematical analysis Statistical and Nonlinear Physics Condensed Matter Physics Schrödinger equation Numerical integration Term (time) symbols.namesake Quantum mechanics Bound state symbols Wave function Eigenvalues and eigenvectors Energy (signal processing)
Zdroj:	Modern Physics Letters B. 23:2269-2279
ISSN:	1793-6640 0217-9849
DOI:	10.1142/s0217984909020424
Popis:	By using a modified approximation scheme to deal with the centrifugal term, we solve approximately the Schrödinger equation for the Eckart potential with the arbitrary angular momentum states. The bound state energy eigenvalues and the unnormalized radial wave functions are approximately obtained in a closed form by using the supersymmetric shape invariance approach and the function analysis method. The numerical experiments show that our analytical results are in better agreement with those obtained by using the numerical integration approach than the analytical results obtained by using the conventional approximation scheme to deal with the centrifugal term.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::705e8b4b6dc032e5898e1c8fbe116f2d https://doi.org/10.1142/s0217984909020424 Zobrazit plný text záznamu