Geodesic
Corrections to vacuum forces resulting from small distortions of the geometry of a region
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 2, pp. 209-218 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Perturbation theory is developed for calculating the first order corrections to eigenmodes of zero oscillations of electromagnetic field in a closed region arising due to small distortions of the geometry of this region. Expressions for the vacuum energy density and vacuum force between the boundaries of a parallelepiped with various kinds of roughness are obtained. Corrections to the Casimir forces between non-parallel and curved plates are also evaluated. 
@article{TMF_1989_79_2_a4,
     author = {Yu. B. Zayaev and V. M. Mostepanenko},
     title = {Corrections to~vacuum forces resulting from small distortions of~the geometry of~a~region},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {209--218},
     year = {1989},
     volume = {79},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a4/}
}
TY  - JOUR
AU  - Yu. B. Zayaev
AU  - V. M. Mostepanenko
TI  - Corrections to vacuum forces resulting from small distortions of the geometry of a region
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 209
EP  - 218
VL  - 79
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a4/
LA  - ru
ID  - TMF_1989_79_2_a4
ER  - 
%0 Journal Article
%A Yu. B. Zayaev
%A V. M. Mostepanenko
%T Corrections to vacuum forces resulting from small distortions of the geometry of a region
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 209-218
%V 79
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a4/
%G ru
%F TMF_1989_79_2_a4
Yu. B. Zayaev; V. M. Mostepanenko. Corrections to vacuum forces resulting from small distortions of the geometry of a region. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 2, pp. 209-218. http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a4/

[1] Casimir H. B. G., Proc. Kon. Nederl. Akad. Wet., 51:7 (1948), 793–796 | MR

[2] Grib A. A., Mamaev S. G., Mostepanenko V. M., Vakuumnye kvantovye effekty v silnykh polyakh, Energoatomizdat, M., 1988

[3] Plunien G., Müller B., Greiner W., Phys. Rep., 134C:2–3 (1986), 87–193 | DOI | MR

[4] Hasenfratz P., Kuti Y., Phys. Rep., 40C:2 (1978), 75–179 | DOI | MR

[5] Mamaev S. G., Mostepanenko V. M., Proc. of the Third Seminar on Quantum Gravity, World Scientific, Singapore, 1985 | MR

[6] Candelas P., Weinberg S., Nucl. Phys., 237B:3 (1984), 397–441 | DOI | MR

[7] Mostepanenko V. M., Sokolov I. Yu., YaF, 46:4 (1987), 1174–1180

[8] Davies B., J. Math. Phys., 13:9 (1972), 1324–1328 | DOI

[9] Mamaev S. G., Trunov N. N., TMF, 38:3 (1979), 345–354 | MR

[10] Ballian R., Duplantier B., Ann. of Phys., 104 (1977), 300–335 ; 112 (1978), 165–208 | DOI | MR | DOI | MR

[11] Evgrafov M. A., Analiticheskie funktsii, Nauka, M., 1978 | MR

[12] Zayaev Yu. B., Kazakov A. Ya., Mostepanenko V. M., Trunov N. N., Izv. vuzov. Fizika, 1988, no. 7, 68–72

[13] Karepanov S. K., Novikov M. Yu., Sorin A. S., Nuovo Cim., 100B:3 (1987), 411–415

[14] Deutsch D., Candelas P., Phys. Rev., 20D:12 (1979), 3063–3080 | MR

[15] Zayaev Yu. B., Mostepanenko V. M., Tezisy dokl. II Vsesoyuznogo soveschaniya «Kvantovaya metrologiya i fundamentalnye fizicheskie konstanty», VNIIM im. D. I. Mendeleeva, L., 1985