Geodesic
Quantum particle in a random medium
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 86-98 Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe the behavior of a quantum particle in a random medium using the Green's function in the functional integral representation and propose methods for evaluating it. We calculate the localization length in the case of motion in a disordered medium and in a medium described by a random Gaussian-type potential. We consider the motion of the quantum particle in the quantized-field vacuum and show the difference between the relativistic and nonrelativistic approaches.
Keywords: quantum mechanics, random medium, localization length, Green's function, functional integral, nonrelativistic dynamics, relativistic dynamics. 
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     author = {G. V. Efimov},
     title = {Quantum particle in a~random medium},
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}
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G. V. Efimov. Quantum particle in a random medium. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 86-98. http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a7/

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