Equivalence of quantum harmonic oscillators and classical oscillators subject to random forces
We show that the Schr\"{o}dinger equation for the quantum harmonic oscillator can be derived as an approximation to the Newtonian mechanics of a classical harmonic oscillator subject to a random force for time intervals $O( m / \hbar)$, when $\hbar / m \ll 1$. Conversely, every solution to the...
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| Main Author | |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
26.10.2020
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| Subjects | |
| Online Access | Get full text |
| DOI | 10.48550/arxiv.2010.14930 |
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