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We use the “tridiagonal representation approach” to solve the time-independent Schrödinger equation for the bound states of generalized versions of the trigonometric and hyperbolic Pöschl–Teller potentials. These new solvable potentials… Click to show full abstract
We use the “tridiagonal representation approach” to solve the time-independent Schrödinger equation for the bound states of generalized versions of the trigonometric and hyperbolic Pöschl–Teller potentials. These new solvable potentials do not belong to the conventional class of exactly solvable problems. The solutions are finite series of square integrable functions written in terms of the Jacobi polynomial.
Keywords:
schl teller;
hyperbolic schl;
trigonometric hyperbolic;
states generalized;
teller potentials;
bound states
Journal Title: International Journal of Modern Physics A
Year Published: 2022
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Journal Title: International Journal of Modern Physics A
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!