Non-Relativistic Propagators via Schwinger’´s Method

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Autore principale: A. Aragão
Natura: Artículo científico
Lingua:en
Pubblicazione: Sociedade Brasileira de Física 2007
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author A. Aragão
author_facet A. Aragão
contents Non-Relativistic Propagators via Schwinger’´s Method A. Aragão H. Boschi C. Farina F. A. Barone Física, Astronomía y Matemáticas Magnetic Field Schwinger’s method Feynman Propagator Harmonic Oscillator In order to popularize the so called Schwinger’s method we reconsider the Feynman propagator of two nonrelativisticsystems: a charged particle in a uniform magnetic field and a charged harmonic oscillator in a uniformmagnetic field. Instead of solving the Heisenberg equations for the position and the canonical momentumoperators, R and P, we apply this method by solving the Heisenberg equations for the gauge invariant operatorsR and p = P¡eA, the latter being the mechanical momentum operator. In our procedure we avoid fixing thegauge from the beginning and the result thus obtained shows explicitly the gauge dependence of the Feynmanpropagator 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437811 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.37
format Artículo científico
id redalyc_46437811
institution Redalyc
language en
publishDate 2007
publisher Sociedade Brasileira de Física
spellingShingle Non-Relativistic Propagators via Schwinger’´s Method
A. Aragão
Física, Astronomía y Matemáticas
Magnetic Field
Schwinger’s method
Feynman Propagator
Harmonic Oscillator
Non-Relativistic Propagators via Schwinger’´s Method A. Aragão H. Boschi C. Farina F. A. Barone Física, Astronomía y Matemáticas Magnetic Field Schwinger’s method Feynman Propagator Harmonic Oscillator In order to popularize the so called Schwinger’s method we reconsider the Feynman propagator of two nonrelativisticsystems: a charged particle in a uniform magnetic field and a charged harmonic oscillator in a uniformmagnetic field. Instead of solving the Heisenberg equations for the position and the canonical momentumoperators, R and P, we apply this method by solving the Heisenberg equations for the gauge invariant operatorsR and p = P¡eA, the latter being the mechanical momentum operator. In our procedure we avoid fixing thegauge from the beginning and the result thus obtained shows explicitly the gauge dependence of the Feynmanpropagator 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437811 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.37
title Non-Relativistic Propagators via Schwinger’´s Method
topic Física, Astronomía y Matemáticas
Magnetic Field
Schwinger’s method
Feynman Propagator
Harmonic Oscillator
url https://www.redalyc.org/articulo.oa?id=46437811