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Quantum Complexity Computational Theory

Probing Uncertainty Relations in Non-Commutative Space

arXiv
Authors: Pritam Chattopadhyay, Ayan Mitra, Goutam Paul

Year

2017

Paper ID

2617

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

Abstract

In this paper, we compute uncertainty relations for non-commutative space and obtain a better lower bound than the standard one obtained from Heisenberg's uncertainty relation. We also derive the reverse uncertainty relation for product and sum of uncertainties of two incompatible variables for one linear and another non-linear model of the harmonic oscillator. The non-linear model in non-commutating space yields two different expressions for Schrödinger and Heisenberg uncertainty relation. This distinction does not arise in commutative space, and even in the linear model of non-commutative space.

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  • This paper contributes to the Quantum Complexity & Computational Theory research area in the Quantum Articles archive.
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  • In this paper, we compute uncertainty relations for non-commutative space and obtain a better lower bound than the standard one obtained from Heisenberg's uncertainty relation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.07748 [2] arXiv https://arxiv.org/abs/1712.07748 [3] Publisher https://arxiv.org/abs/1712.07748

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