Improved Analytical Approximations to the Scattering Solutions of the Schrödinger Equation with a Hyperbolical Potential |
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Authors: | YOU Yuan LU Fa-Lin SUN Dong-Sheng CHEN Chang-Yuan |
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Institution: | School of Physics and Electronics, Yancheng Teachers University, Yancheng 224051, China |
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Abstract: | Using an improved approximate formula to the centrifugal term, we present arbitrary l-state scattering solutions of the hyperbolic potential. The approximate analytical formula of scattering phase shifts and normalized wavefunctions are presented. All data calculated by the above approximate analytical formula are compared with those obtained by using the numerical integration method in the scattering state cases. We find that this improved approximate formula is better than previous one since the calculated results are in good agreement with those exact ones. |
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Keywords: | hyperbolic potential scattering solutions analytical approximations |
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