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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Simulation
Proof that Half-Harmonic Oscillators become Full-Harmonic Oscillators after the "Wall Slides Away"
arXiv
Authors: Carlos R. Handy, John Klauder
Year
2021
Paper ID
62733
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
Abstract
Normally, the half-harmonic oscillator is active when x>0 and absent when x<0. From a canonical quantization perspective, this leads to odd eigenfunctions being present while even eigenfunctions are absent. In that case, only the usual odd eigenfunctions will appear if the wall slides to negative infinity. However, if an affine quantization is used, sliding the wall away shows that all the odd and even eigenfunctions are encountered, exactly like any full-harmonic oscillator. We provide numerical support for this.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2021 reference point for readers tracking recent quantum research.
- Normally, the half-harmonic oscillator is active when x>0 and absent when x
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