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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Some intricacies of the momentum operator in quantum mechanics

arXiv
Authors: Utpal Roy, Suranjana Ghosh, Kaushik Bhattacharya

Year

2007

Paper ID

50049

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

In quantum mechanics textbooks the momentum operator is defined in the Cartesian coordinates and rarely the form of the momentum operator in spherical polar coordinates is discussed. Consequently one always generalizes the Cartesian prescription to other coordinates and falls in a trap. In this work we introduce the difficulties one faces when the question of the momentum operator in general curvilinear coordinates arises. We have tried to elucidate the points related to the definition of the momentum operator taking spherical polar coordinates as our specimen coordinate system and proposed an elementary method in which we can ascertain the form of the momentum operator in general coordinate systems.

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  • In quantum mechanics textbooks the momentum operator is defined in the Cartesian coordinates and rarely the form of the momentum operator in spherical polar coordinates is...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.0924 [2] arXiv https://arxiv.org/abs/0706.0924 [3] Publisher https://arxiv.org/abs/0706.0924

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