Average local values and local variances in quantum mechanics

Abstract

Several definitions for the average local value and local variance of a quantum observable are examined and compared with their classical counterparts. An explicit way to construct an infinite number of these quantities is provided. It is found that different classical conditions may be satisfied by different definitions, but none of the quantum definitions examined is entirely consistent with all classical requirements.

9 pages, no figures, LATEX

References in corpus (1)

• Phase space formalisms of quantum mechanics with singular kernel

Cited by in corpus (11)

• Nonclassicality in Weak Measurements
• What is the value of an observable between pre- and postselection?
• Detecting quantum backflow by the density of a Bose-Einstein Condensate
• Phase Space Correspondence between Classical Optics and Quantum Mechanics
• Quantum kinetic energy densities: An operational approach
• Interference of spin-orbit coupled Bose-Einstein condensates
• Covariance, correlation and entanglement
• Reduction of local velocity spreads by linear potentials
• Quasi-distributions for arbitrary non-commuting operators
• Nonclassical polarization dynamics in classical-like states
• Probabilistic aspects of Wigner function