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

2016/11/19 by Shapiro, Boris, Tater, Milos
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1611.06313

Abstract

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.

Related

• On spectral asymptotic of quasi-exactly solvable quartic
• A Lie algebraic approach to complex quasi exactly solvable potentials with real spectrum
• The QES sextic and Morse potentials: exact WKB condition and supersymmetry
• Exactly Solvable Sextic Potential Having Symmetric Triple-Well Structure
• Quasi-Exactly Soluble Potentials and Deformed Oscillators