Position-momentum uncertainty relation for an open macroscopic quantum system

DOI10.1007/S10955-016-1666-XzbMATH Open1360.82014arXiv1603.01830OpenAlexW3098420023MaRDI QIDQ513206

Afshin Shafiee, Hamid Reza Naeij

Publication date: 3 March 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Abstract: In this study, we explore the validity of the original Heisenberg position- momentum uncertainty relation for a macroscopic harmonic oscillator interacting with environmental micro particles. Our results show that, in the quasi-classical situation, the original uncertainty relation does not hold when the number of particles in the environment is small. Nonetheless, increasing the environmental degrees of freedom resolves the violation in the region of our investigation.

Full work available at URL: https://arxiv.org/abs/1603.01830

zbMATH Keywords

Heisenberg uncertainty relationharmonic environmentopen macroscopic quantum system

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Spin uncertainty relation under decoherence
• Physical content of Heisenberg's uncertainty relation: limitation and reformulation
• Title not available (Why is that?)

Related Items (2)

Position-momentum uncertainty products ⋮ Langevin equation for a dissipative macroscopic quantum system: Bohmian theory versus quantum mechanics

This page was built for publication: Position-momentum uncertainty relation for an open macroscopic quantum system

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q513206)