## Abstract

I obtain the quantum correction ΔV_{eff}=(ħ^{2}/8m)[(1−4ξ[Formula presented])(S^{′})^{2}+2(1−4ξ)S^{″}] that appears in the effective potential whenever a compact d-dimensional subspace (of volume ∝exp[S(x)]) is discarded from the configuration space of a nonrelativistic particle of mass m and curvature coupling parameter ξ. This correction gives rise to a force −〈ΔV_{eff}
^{′}〉 that pushes the expectation value 〈x〉 off its classical trajectory. Because ΔV_{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 S(x).

Original language | English |
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Pages (from-to) | 2555-2560 |

Number of pages | 6 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 382 |

Issue number | 36 |

Early online date | 14 Jun 2018 |

DOIs | |

Publication status | Published - 14 Sep 2018 |

## Keywords

- Curved configuration space
- Discarded variables
- Information capacity
- Quantum corrections