Some intricacies of the momentum operator in quantum mechanics

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dc.creatorRoy, Utpal
dc.creatorGhosh, Suranjana
dc.creatorBhattacharya, Kaushik
dc.date2007-06-06
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:08Z
dc.date.available2026-07-07T10:04:08Z
dc.descriptionIn 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.
dc.descriptionMinor corrections included. 9 pages, latex file. To be published in Revista Mexicana de Fisica
dc.identifierhttps://arxiv.org/abs/0706.0924
dc.identifierhttp://arxiv.org/abs/0706.0924
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169555
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleSome intricacies of the momentum operator in quantum mechanics
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