LIE ALGEBRAIZATION OF DOUBLE CONFLUENT HEUN EQUATION
DOI:
https://doi.org/10.60787/jnamp.vol71no.634Keywords:
Algebraization, Heun differential equations, Gauge potential, QES potential, Universal enveloping algebraAbstract
In this paper, we present a new algebraization of the double confluent Heun equation (DCHE) by writing its operator as the linear combination of quadratic elements in the universal enveloping algebra of sl(2, ℂ). We also obtain a new quasiexactly solvable potential using a gauge transformation. It was observed that DCHE is only quasi-exactly solvable and therefore admits only polynomial solutions.
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