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Generalize Pöschl-Teller potential #68

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ohno opened this issue Jul 2, 2024 · 0 comments
Open

Generalize Pöschl-Teller potential #68

ohno opened this issue Jul 2, 2024 · 0 comments
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enhancement New feature or request good first issue Good for newcomers

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@ohno
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ohno commented Jul 2, 2024

Currently, λ is restricted to integers only in the Pöschl-Teller potential. By using a hypergeometric function instead of associated Legendre polynomials for the wave function, it should be possible to generalize λ to non-integer values.

Please check S. Flügge, Practical Quantum Mechanics (Springer Berlin Heidelberg, 1999) p.94 Problem 39. Potential hole of modified Poschl-Teller type.

@ohno ohno added enhancement New feature or request good first issue Good for newcomers labels Jul 2, 2024
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