Geodesic
Effects of the vacuum polarization in muonic atoms and nonlocality of the interaction of a muon with nucleus
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 2, pp. 162-172 
R. Kh. Gainutdinov; A. S. Iyudin; A. A. Mutygullina. Effects of the vacuum polarization in muonic atoms and nonlocality of the interaction of a muon with nucleus. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 2, pp. 162-172. http://geodesic.mathdoc.fr/item/UZKU_2005_147_2_a10/
@article{UZKU_2005_147_2_a10,
     author = {R. Kh. Gainutdinov and A. S. Iyudin and A. A. Mutygullina},
     title = {Effects of the vacuum polarization in muonic atoms and nonlocality of the interaction of a~muon with nucleus},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {162--172},
     year = {2005},
     volume = {147},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2005_147_2_a10/}
}
TY  - JOUR
AU  - R. Kh. Gainutdinov
AU  - A. S. Iyudin
AU  - A. A. Mutygullina
TI  - Effects of the vacuum polarization in muonic atoms and nonlocality of the interaction of a muon with nucleus
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2005
SP  - 162
EP  - 172
VL  - 147
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/UZKU_2005_147_2_a10/
LA  - ru
ID  - UZKU_2005_147_2_a10
ER  - 
%0 Journal Article
%A R. Kh. Gainutdinov
%A A. S. Iyudin
%A A. A. Mutygullina
%T Effects of the vacuum polarization in muonic atoms and nonlocality of the interaction of a muon with nucleus
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2005
%P 162-172
%V 147
%N 2
%U http://geodesic.mathdoc.fr/item/UZKU_2005_147_2_a10/
%G ru
%F UZKU_2005_147_2_a10

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The vacuum polarization effects in the muonic atoms are investigated within the framework of the generalized quantum dynamics. We show that the effect of nonlocality in time of the interaction of a muon with a nuclei caused by the polarization on the properties of the muonic atoms can be very significant. New possibilities that the generalized quantum dynamics opens in the theory of the muonic atoms are discussed.

[1] Kinoshita T., Nio M., “Sixth-order vacuum-polarization contribution to the lamb shift of muonic hydrogen”, Phys. Rev. Lett., 82 (1999), 3240–3243 | DOI

[2] Gainutdinov R. Kh., “Nonlocal interactions and quantum dynamics”, J. Phys. A: Math. Gen., 32 (1999), 5657–5677 | DOI | MR | Zbl

[3] Gainutdinov R. Kh., Mutygullina A. A., “Nonlocality of the NN interaction in an effective field theory”, Phys. Rev. C, 66 (2002), Art. 014006 | DOI

[4] Gainutdinov R. Kh., Mutygullina A. A., Scheid W., “Effects of nonlocality in time of interactions of an atom with its surroundings on the broadening of spectral lines of atoms”, Phys. Lett. A, 306 (2002), 1–9 | DOI | Zbl

[5] Feynman R. P., “Space-time approach to non-relativistic quantum mechanics”, Rev. Mod. Phys., 20 (1948), 367 ; Feynman R. P., Hibbs A. R., Quantum Mechanics and Path Integrals, McGraw-Hill, N. Y., 1965 | DOI | MR | Zbl

[6] Gainutdinov R. Kh., “Estestvennoe ushirenie spektralnykh linii mnogozaryadnykh ionov i problema poverkhnostnykh raskhodimostei”, ZhETF, 108 (1995), 1600–1613