Quick search Find article
Quick search
Find article

Quasi-Exactly Solvable Singular Fractional Power Potentials Emerging from the Triconfluent Heun Equation

Axel Schulze-Halberg

Show affiliations


We consider a triconfluent Heun equation (TCHE) possessing infinitely many Liouvillian solutions and transform it into a radial Schrödinger equation for a general power law potential. From the latter we extract three special cases, namely different singular fractional power potentials (SFPP) for which the transformed Liouvillian solutions of the original TCHE represent Schrödinger bound states. Hence we obtain an infinite set of exact Schrödinger bound state solutions and corresponding energies for each of the three SFPP.


PACS

03.65.Ge Solutions of wave equations: bound states

03.65.Fd Algebraic methods

Subjects

Quantum information and quantum mechanics

Dates

Issue 5 (2002)

Received 30 October 2001



View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.