Abstract
The probabilities of quantum transitions are described by integrals over trajectories in the space of energy states of a system exposed to an electromagnetic field. A recurrent relationship approach is proposed for numerical calculations of these integrals and for describing two-photon Rabi oscillations.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.3103%2FS1062873818120055/MediaObjects/11954_2019_3069_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.3103%2FS1062873818120055/MediaObjects/11954_2019_3069_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.3103%2FS1062873818120055/MediaObjects/11954_2019_3069_Fig3_HTML.gif)
Similar content being viewed by others
REFERENCES
Gentile, T.R., Hughey, B.J., Kleppner, D., and Ducas, T.W., Phys. Rev. A, 1989, vol. 40, p. 5103.
Liao, Z., Al-Amri, M., Becker, T., et al., Phys. Rev. A, 2013, vol. 87, p. 023405.
Ge, W., Hemmer, P.R., and Suhail Zubairy, M., Phys. Rev. A, 2013, vol. 87, p. 023818.
Biryukov, A.A. and Danilyuk, B.V., Proc. SPIE, 2008, vol. 7024, p. 702 405.
Feynman, R.P. and Hibbs, A.R., Quantum Mechanics and Path Integrals, McGraw-Hill, 1965.
Biryukov, A.A. and Shleenkov, M.A., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki, 2015, vol. 19, no. 2, p. 221.
Riazanov, G.V., J. Exp. Theor. Phys., 1959, vol. 8, no. 1, p. 85.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by O. Maslova
About this article
Cite this article
Biryukov, A.A., Degtyareva, Y.V. & Shleenkov, M.A. Calculating the Probabilities of Quantum Transitions in Atoms and Molecules Numerically through Functional Integration. Bull. Russ. Acad. Sci. Phys. 82, 1565–1569 (2018). https://doi.org/10.3103/S1062873818120055
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1062873818120055