Quasi-exact minus-quartic oscillators in strong-core regime

Abstract

PT-symmetric potentials $V(x)=-x^4+jB{x}^3+C{x}^2+jDx+jF/x+G/x^2$ are quasi-exactly solvable, i.e., a specific choice of a small $G=G^{(QES)}=integer/4$ is known to lead to wave functions ${\psi }^{(QES)}(x)$ in closed form at certain charges $F=F^{(QES)}$ and energies $E=E^{(QES)}$. The existence of an alternative, simpler and non-numerical version of such a construction is announced here in the new dynamical regime of very large $G^{(QES)}\to \infty$.

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Cited by in corpus (4)

• The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
• Relativistic Solutions of Generalized-Dunkl Harmonic and Anharmonic Oscillators
• PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach
• PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians