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Displaced Harmonic Oscillator V ∼ min [(x + d)², (x − d)²] as a Benchmark Double-Well Quantum Model

Miloslav Znojil

Quantum Rep.2022, 4(3), 309-323;https://doi.org/10.3390/quantum4030022

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24 August 2022

For the displaced harmonic double-well oscillator, the existence of exact polynomial bound states at certain displacements d is revealed. The N-plets of these quasi-exactly solvable (QES) states are constructed in closed form. For non-QES states, the...

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Displaced Harmonic Oscillator V ∼ min [(x + d)2, (x − d)2] as a Benchmark Double-Well Quantum Model

Displaced Harmonic Oscillator V ∼ min [(x + d)², (x − d)²] as a Benchmark Double-Well Quantum Model