Renormalization-group approach to the dynamical Casimir effect
In this paper we study the one-dimensional dynamical Casimir effect. We consider a one-dimensional cavity formed by two mirrors, one of which performs an oscillatory motion with a frequency resonant with the cavity. The naive solution, perturbative in powers of the amplitude, contains secular terms....
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1998
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paper:paper_10502947_v57_n3_p2113_Dalvit2023-06-08T16:01:46Z Renormalization-group approach to the dynamical Casimir effect Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego In this paper we study the one-dimensional dynamical Casimir effect. We consider a one-dimensional cavity formed by two mirrors, one of which performs an oscillatory motion with a frequency resonant with the cavity. The naive solution, perturbative in powers of the amplitude, contains secular terms. Therefore it is valid only in the short time limit. Using a renormalization-group technique to resum these terms, we obtain an improved analytical solution which is valid for longer times. We discuss the generation of peaks in the density energy profile and show that the total energy inside the cavity increases exponentially. © 1998 The American Physical Society. Fil:Dalvit, D.A.R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v57_n3_p2113_Dalvit http://hdl.handle.net/20.500.12110/paper_10502947_v57_n3_p2113_Dalvit |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
In this paper we study the one-dimensional dynamical Casimir effect. We consider a one-dimensional cavity formed by two mirrors, one of which performs an oscillatory motion with a frequency resonant with the cavity. The naive solution, perturbative in powers of the amplitude, contains secular terms. Therefore it is valid only in the short time limit. Using a renormalization-group technique to resum these terms, we obtain an improved analytical solution which is valid for longer times. We discuss the generation of peaks in the density energy profile and show that the total energy inside the cavity increases exponentially. © 1998 The American Physical Society. |
author |
Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego |
spellingShingle |
Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego Renormalization-group approach to the dynamical Casimir effect |
author_facet |
Dalvit, Diego Alejandro Roberto Mazzitelli, Francisco Diego |
author_sort |
Dalvit, Diego Alejandro Roberto |
title |
Renormalization-group approach to the dynamical Casimir effect |
title_short |
Renormalization-group approach to the dynamical Casimir effect |
title_full |
Renormalization-group approach to the dynamical Casimir effect |
title_fullStr |
Renormalization-group approach to the dynamical Casimir effect |
title_full_unstemmed |
Renormalization-group approach to the dynamical Casimir effect |
title_sort |
renormalization-group approach to the dynamical casimir effect |
publishDate |
1998 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v57_n3_p2113_Dalvit http://hdl.handle.net/20.500.12110/paper_10502947_v57_n3_p2113_Dalvit |
work_keys_str_mv |
AT dalvitdiegoalejandroroberto renormalizationgroupapproachtothedynamicalcasimireffect AT mazzitellifranciscodiego renormalizationgroupapproachtothedynamicalcasimireffect |
_version_ |
1768544968998125568 |