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arXiv · 2002.03346

Hartmann potential with a minimal length and generalized recurrence relations for matrix elements

Lamine Khodja·Mohamed Achour·Slimane Zaim
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Abstract

In this work we study the Schr\"{o}dinger equation in the presence of the Hartmann potential with a generalized uncertainty principle. We pertubatively obtain the matrix elements of the hamiltonian at first order in the parameter of deformation $\beta$ and show that some degenerate states are removed. We give analytic expressions for the solutions of the diagonal matrix elements. Finally, we derive a generalized recurrence formula for the angular average values.

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Lamine Khodja, Mohamed Achour, Slimane Zaim. 2020-02-09. Hartmann potential with a minimal length and generalized recurrence relations for matrix elements. https://doi.org/10.1007/s00601-020-01552-6

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