Bender-Wu branch points in the cubic oscillator

DOI10.1088/0305-4470/28/16/016zbMath0867.34068OpenAlexW2009646449MaRDI QIDQ3127736

Gabriel Álvarez

Publication date: 10 April 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/28/16/016

zbMATH Keywords

cubic anharmonic oscillatorBender-Wu branch points

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (15)

Non-Hermitian Hamiltonians and similarity transformations ⋮ Coulomb-type interaction under Lorentz symmetry breaking effects ⋮ Hermitian-non-Hermitian interfaces in quantum theory ⋮ The spectrum of the cubic oscillator ⋮ Resonant resurgent asymptotics from quantum field theory ⋮ Bender-Wu singularities ⋮ Localization of the states of a \(PT\)-symmetric double well ⋮ Effective potential and resummation procedure to multidimensional complex cubic potentials for weak and strong coupling ⋮ The large-\(g\) observability of the low-lying energies in the strongly singular potentials \(V(x)=x^2+g^2/x^6\) after their \(\mathcal PT\)-symmetric regularization ⋮ Normal mode splitting in a cavity optomechanical system with a cubic anharmonic oscillator ⋮ Fragile PT-symmetry in a solvable model ⋮ Three PT-symmetric Hamiltonians with completely different spectra ⋮ Non-Hermitian Hamiltonians with unitary and antiunitary symmetries ⋮ Parity-time symmetry broken by point-group symmetry ⋮ Resonances and PT symmetry in quantum curves

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