Abstract
ABSTRACTIn this article we study numerically and theoretically the asymptotics of the algebraic part of the spectrum for the quasi-exactly solvable sextic potential Πm, b(x) = x6 + 2bx4 + (b2 − (4m + 3))x2, its level crossing points, and its monodromy in the complex plane of parameter b. Here m is a fixed positive integer. We also discuss the connection between the special sequence of quasi-exactly solvable sextics with increasing m and the classical quartic potential.
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