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In this work we study the Schrödinger equation in the presence of the Hartmann potential with a generalized uncertainty principle. We pertubatively obtain the matrix elements of the hamiltonian at… Click to show full abstract
In this work we study the Schrödinger 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 $$\beta $$ β 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.
Keywords:
minimal length;
generalized recurrence;
potential minimal;
hartmann potential;
matrix elements
Journal Title: Few-Body Systems
Year Published: 2020
Link to full text (if available)
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Journal Title: Few-Body Systems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!