Lagrangian formulation of the Schrödinger equation

Alexander Gersten; Abed Shaqir

doi:10.1023/A:1023993921905

Lagrangian formulation of the Schrödinger equation

Alexander Gersten, Abed Shaqir

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We recast, the Schrödinger equation in a new Lagrangian formulation. The equation is - iℏdψ (x, t) / dt = L̂tp (x, t), where L̂ is the Lagrangian operator. Expressions for L̂ and for d/dt - ∂/∂t are derived in terms of coordinate and momentum operators.

Original language	English
Pages (from-to)	591-594
Number of pages	4
Journal	Foundations of Physics Letters
Volume	15
Issue number	6
DOIs	https://doi.org/10.1023/A:1023993921905
State	Published - 1 Dec 2002

Keywords

Lagrangian operator
Schrödinger equation

ASJC Scopus subject areas

General Physics and Astronomy

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10.1023/A:1023993921905

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title = "Lagrangian formulation of the Schr{\"o}dinger equation",

abstract = "We recast, the Schr{\"o}dinger equation in a new Lagrangian formulation. The equation is - iℏdψ (x, t) / dt = {\^L}tp (x, t), where {\^L} is the Lagrangian operator. Expressions for {\^L} and for d/dt - ∂/∂t are derived in terms of coordinate and momentum operators.",

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author = "Alexander Gersten and Abed Shaqir",

year = "2002",

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AB - We recast, the Schrödinger equation in a new Lagrangian formulation. The equation is - iℏdψ (x, t) / dt = L̂tp (x, t), where L̂ is the Lagrangian operator. Expressions for L̂ and for d/dt - ∂/∂t are derived in terms of coordinate and momentum operators.

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KW - Schrödinger equation

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JO - Foundations of Physics Letters

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Lagrangian formulation of the Schrödinger equation

Abstract

Keywords

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