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- W3206030251 abstract "We explore the spectral properties and behaviour of confining superexponential potentials. Several prototypes of these highly nonlinear potentials are analyzed in terms of the eigenvalues and eigenstates of the underlying stationary Schrodinger equation up to several hundreds of excited states. A generalization of the superexponential self-interacting oscillator shows a scaling behaviour of the spacing of the eigenvalues which turns into an alternating behaviour for the power law modified oscillator. Superexponential potentials with an oscillating power show a very rich spectral structure with varying amplitudes and wave vectors. In the parity symmetric case doublets of near degenerate energy eigenvalues emerge in the spectrum. The corresponding eigenstates are strongly localized in the outer wells of the potential and occur as even-odd pairs which are interspersed into the spectrum of delocalized states. We provide an outlook on future perspectives including the possibility to use these features for applications in e.g. cold atom physics." @default.
- W3206030251 created "2021-10-25" @default.
- W3206030251 creator A5064525551 @default.
- W3206030251 date "2021-10-13" @default.
- W3206030251 modified "2023-10-16" @default.
- W3206030251 title "Spectral properties of confining superexponential potentials" @default.
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- W3206030251 doi "https://doi.org/10.1088/1751-8121/ac2f8c" @default.
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