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Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we present a method that gives the class of potential functions for exactly solvable… Click to show full abstract
Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we present a method that gives the class of potential functions for exactly solvable problems corresponding to a given energy spectrum. In this work, we study the class of problems associated with the continuous dual Hahn polynomial. These include the one-dimensional logarithmic potential and the three-dimensional Coulomb plus linear potential.
Keywords:
construction potential;
given energy;
potential functions;
energy;
energy spectrum
Journal Title: International Journal of Modern Physics A
Year Published: 2020
Link to full text (if available)
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Journal Title: International Journal of Modern Physics A
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!