Mass-sign duality of cubic oscillators
Miloslav Znojil
TL;DR
This paper demonstrates that two imaginary cubic anharmonic oscillators with opposite mass signs have identical energy spectra, revealing a novel mass-sign duality in quantum oscillators.
Contribution
It introduces the concept of mass-sign duality in cubic oscillators and proves their isospectrality despite opposite mass terms.
Findings
Two imaginary cubic oscillators with positive and negative mass are isospectral.
Mass-sign duality extends the understanding of spectral properties in anharmonic oscillators.
The result may have implications for quantum systems with non-Hermitian Hamiltonians.
Abstract
Two imaginary cubic anharmonic oscillators with the respective positive and negative mass term are shown isospectral.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Photonic and Optical Devices · Mechanical and Optical Resonators