Improved Analytical Approximations to the Scattering Solutions of the Schrödinger Equation with a Hyperbolical Potential
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 analyti...
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| Veröffentlicht in: | Communications in theoretical physics 2014-09, Vol.62 (3), p.315-319 |
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| container_title | Communications in theoretical physics |
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| creator | You, Yuan Lu, Fa-Lin Sun, Dong-Sheng Chen, Chang-Yuan |
| description | 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. |
| doi_str_mv | 10.1088/0253-6102/62/3/04 |
| format | Article |
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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. 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| ispartof | Communications in theoretical physics, 2014-09, Vol.62 (3), p.315-319 |
| issn | 0253-6102 1572-9494 |
| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; Alma/SFX Local Collection |
| subjects | Approximation Formulas (mathematics) Mathematical analysis Mathematical models Scattering Schroedinger equation Theoretical physics Wavefunctions |
| title | Improved Analytical Approximations to the Scattering Solutions of the Schrödinger Equation with a Hyperbolical Potential |
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