Geodesic
The Bound States Problem in Quantum Electrodynamics and the Lamb Shift in Muonic Atoms
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 66-73
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The bound state problem in quantum electrodynamics is discussed. Adiabatic $S$-matrix formalism, with which radiative corrections to energy levels of atoms are usually evaluated, is stated to provide only an approximate solution. It is shown that the radiative corrections are significant to the energy levels of muonic atoms that can not be predicted by the adiabatic $S$-matrix formalism.
Keywords: bound states, Lamb shift, muonic atoms. 
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R. Kh. Gainutdinov; A. A. Mutygullina; A. A. Vasil'ev. The Bound States Problem in Quantum Electrodynamics and the Lamb Shift in Muonic Atoms. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 66-73. http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a8/

[1] Chelkowski S., Bandrauk A. D., Corkum P. B., “Muonic molecules in superintense laser fields”, Phys. Rev. Lett., 93:8 (2004), 083602-1–083602-4 | DOI

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

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

[4] Shveber S., Vvedenie v relyativistskuyu kvantovuyu teoriyu polya, Izd-vo inostr. lit., M., 1963, 842 pp.

[5] Veselov M. G., Labzovskii L. N., Teoriya atoma. Stroenie elektronnykh obolochek, Nauka, M., 1986, 327 pp.

[6] Labzovskii L. N., Teoriya atoma. Kvantovaya elektrodinamika elektronnykh obolochek i protsessy izlucheniya, Fizmatlit, M., 1996, 304 pp.

[7] Soff G., Bednyakov I., Beier T., Erler F., Goidenko I. A., Jentschura U. D., Labzowsky L. N., Nefiodov A. V., Plunien G., Schützhold R., Zschocke S., “Effects of QED and beyond from the atomic binding energy”, Hyperfine Interact., 132 (2001), 75–103 | DOI

[8] Haga A., Horikawa Y., Toki H., “Reanalysis of muonic $^{90}\mathrm{Zr}$ and $^{208}\mathrm{Pb}$ atoms”, Phys. Rev. C, 75 (2007), 044315-1–044315-8 | DOI

[9] Gainutdinov R. Kh., Iyudin A. S., Mutygullina A. A., “Description of the polarization effects in the muonic atoms within the framework of generalized quantum dynamics”, Proc. SPIE, 6181 (2006), 6181-1–6181-13

[10] Gainutdinov R. Kh., Mutygullina A. A., Vasil'ev A. A., “Effects of nonlocality of the interaction of a muon with a nucleus on the Lamb shift in muonic atoms”, Proc. SPIE, 7024 (2008), 7024-1–7024-11

[11] Vasilev A. A., Gainutdinov R. Kh., Mutygullina A. A., “Popravki vysshikh poryadkov k lembovskomu sdvigu v myuonnom vodorode”, Uchën. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 150, no. 2, 2008, 79–85