Quantum effective potential from discarded degrees of freedom
| Autor: | Butcher, Luke M. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Lett. A 382, 36, 2555-2560 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physleta.2018.06.013 |
| Popis: | I obtain the quantum correction $\Delta V_\mathrm{eff}= (\hbar^2/8m) [(1- 4\xi \frac{d+1}{d})(\mathcal{S}')^2 + 2(1-4\xi)\mathcal{S}"]$ that appears in the effective potential whenever a compact $d$-dimensional subspace (of volume $\propto \exp[\mathcal{S}(x)]$) is discarded from the configuration space of a nonrelativistic particle of mass $m$ and curvature coupling parameter $\xi$. This correction gives rise to a force $-\langle\Delta V_\mathrm{eff}'\rangle$ that pushes the expectation value $\langle x\rangle$ off its classical trajectory. Because $\Delta V_\mathrm{eff}$ does not depend on the details of the discarded subspace, these results constitute a generic model of the quantum effect of discarded variables with maximum entropy/information capacity $\mathcal{S}(x)$. Comment: 7 pages, 1 figure; published version with appendix |
| Databáze: | arXiv |
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