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arxiv: 1611.06313 · v1 · pith:SJV4BFFAnew · submitted 2016-11-19 · 🧮 math-ph · math.CA· math.MP· quant-ph

Asymptotics and monodromy of the algebraic spectrum of quasi-exactly solvable sextic oscillator

classification 🧮 math-ph math.CAmath.MPquant-ph
keywords quasi-exactlysexticsolvablealgebraicasymptoticsmonodromypotentialspectrum
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Below we study theoretically and numerically the asymptotics of the algebraic part of the spectrum for the quasi-exactly solvable sextic potential, its level crossing points, and its monodromy in the complex plane of its parameter. We also discuss connection between the quasi-exactly solvable sextic and the classical quartic potential.

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