Negative position-momentum covariance and regional momentum distributions

Authors

  • Anthony Allan Villanueva ⋅ PH Institute of Mathematical Sciences and Physics, University of the Philippines Los BaƱos

Abstract

We discuss the negative statistical covariance between the position x and momentum p in terms of a conditional momentum distribution (known as the regional momentum distribution) of a free particle in the given region x > 0. Both classical and quantum systems are examined. A negative x-p covariance produces an asymmetry in the regional momentum distribution such that a negative particle momentum is the likely measurement outcome. This effect is enhanced as the x-p covariance becomes more negative.

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Article ID

SPP-2021-1F-01

Section

Theoretical and Mathematical Physics

Published

2021-09-24

How to Cite

[1]
AA Villanueva, Negative position-momentum covariance and regional momentum distributions, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-1F-01 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-1F-01.