Skip to main content
Book cover

Non-perturbative Description of Quantum Systems pp 251–286Cite as

Atoms in the External Electromagnetic Fields

  • 1190 Accesses

Part of the Lecture Notes in Physics book series (LNP,volume 894)

Abstract

In this chapter, the operator method is applied to analyze the following models intensively used for the description of the interaction of atomic systems with external fields: (1) hydrogen-like atom in electric and magnetic fields, and (2) two-level atom in resonant electromagnetic field.

Hydrogen-like atom in electric field or/and in magnetic field is an old problem involving many investigations resulted in discovery of extremely important quantum effects such as the Zeeman effect as well as the Stark effect [1–4].

This is a preview of subscription content, access via your institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-319-13006-4_7
  • Chapter length: 36 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   69.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-13006-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   89.99
Price excludes VAT (USA)
Learn about institutional subscriptions
Fig. 7.1
Fig. 7.2
Fig. 7.3
Fig. 7.4
Fig. 7.5
Fig. 7.6
Fig. 7.7

References

  1. L.I. Schiff, H. Snyder, Phys. Rev. 55, 59 (1939)

    CrossRef  ADS  MATH  Google Scholar 

  2. Y. Yafet, R.W. Keyes, E.N. Adams, J. Phys. Chem. Solids 1, 137 (1956)

    CrossRef  ADS  Google Scholar 

  3. H. Friedrich, D. Wintgen, Phys. Rep. 183, 37 (1989)

    CrossRef  ADS  MathSciNet  Google Scholar 

  4. L.D. Landau, E.M. Lifshitz, Quantum Mechanics: Non-Relativistic (Pergamon Press, Oxford, 1991)

    Google Scholar 

  5. A.R.P. Rau, L. Spruch, Astrophys. J. 207, 671 (1976)

    CrossRef  ADS  Google Scholar 

  6. D. Delane, J.C. Gay, J. Phys. B Atom. Mol. Opt. Phys. 19, L173 (1986)

    CrossRef  ADS  Google Scholar 

  7. J. Xi, X. He, B. Li, Phys. Rev. A 46, 5806 (1992)

    CrossRef  ADS  Google Scholar 

  8. J.X. Zang, M.L. Rustgi, Phys. Rev. A 50, 861 (1994)

    CrossRef  ADS  Google Scholar 

  9. C. Stubbins, K. Das, Y. Shiferaw, J. Phys. B Atom. Mol. Opt. Phys. 37, 2201 (2004)

    CrossRef  ADS  Google Scholar 

  10. V.S. Popov, B.M. Karnakov, Phys. Usp. 57, 257 (2014)

    CrossRef  ADS  Google Scholar 

  11. J.M. Lattimer, M. Prakash, Phys. Rep. 442, 109 (2007)

    CrossRef  ADS  Google Scholar 

  12. O.I. Tolstikhin, T. Morishita, L.B. Madsen, Phys. Rev. A 84, 053423 (2011)

    CrossRef  ADS  Google Scholar 

  13. B. Zhang, J. Yuan, Z. Zhao, Phys. Rev. Lett. 111, 163001 (2013)

    CrossRef  ADS  Google Scholar 

  14. I.D. Feranchuk, L.I. Komarov, J. Phys. A Math. Gen. 17, 3111 (1984)

    CrossRef  ADS  MathSciNet  Google Scholar 

  15. L.I. Komarov, T.S. Romanova, J. Phys. B Atom. Mol. Phys. 18, 859 (1985)

    CrossRef  ADS  MathSciNet  Google Scholar 

  16. L.I. Komarov, T.S. Romanova, Z.A. Chan, Proc. Natl. Acad. Belarus Ser. Phys. Math. Sci. 1, 90 (1987)

    Google Scholar 

  17. I.D. Feranchuk, X.H. Ly, Phys. Lett. A 137, 385 (1989)

    CrossRef  ADS  Google Scholar 

  18. K. Ng. D. Yao, M.H. Nayfeh, Phys. A 35, 2508 (1987)

    Google Scholar 

  19. P. Kustaanheimo, E. Stiefel, J. Reine Angew. Math. 1965, 204 (1965)

    MathSciNet  Google Scholar 

  20. L.I. Komarov, T.S. Romanova, Proc. Natl. Acad. Belarus Ser. Phys. Math. Sci. 2, 98 (1982)

    Google Scholar 

  21. L.I. Komarov, T.S. Romanova, J. Phys. B Atom. Mol. Opt. Phys. 18, 859 (1985)

    CrossRef  ADS  MathSciNet  Google Scholar 

  22. H. Kleinert, Group Dynamics of the Hydrogen Atom (Gordon and Breach, New York, 1968)

    Google Scholar 

  23. H. Kleinert, Found. Phys. 23, 769 (1993)

    CrossRef  ADS  MathSciNet  Google Scholar 

  24. L. Allen, J. Eberly, Optical Resonance and Two Level Atoms (Wiley, New York, 1975)

    Google Scholar 

  25. H. Reik, H. Nusser, A. Ribeiro, J. Phys. A Math. Gen. 15, 3491 (1982)

    CrossRef  ADS  Google Scholar 

  26. P. Meystre, T. Steimle, Phys. Lett. A 89, 390 (1982)

    CrossRef  ADS  Google Scholar 

  27. R. Graham, M. Hoehnerbach, Phys. Lett. A 101, 61 (1984)

    CrossRef  ADS  MathSciNet  Google Scholar 

  28. I.D. Feranchuk, L.I. Komarov, A.P. Ulyanenkov, J. Phys. A Math. Gen. 29, 4035 (1996)

    CrossRef  ADS  MATH  Google Scholar 

  29. I.D. Feranchuk, A.V. Leonov, Phys. Lett. A 373, 4113 (2009)

    CrossRef  ADS  MATH  Google Scholar 

  30. I.D. Feranchuk, A.V. Leonov, Phys. Lett. A 373, 517 (2009)

    CrossRef  ADS  MATH  Google Scholar 

  31. I.D. Feranchuk, A.V. Leonov, Phys. Lett. A 375, 385 (2011)

    CrossRef  ADS  MATH  Google Scholar 

  32. V.H. Le, T. Viloria, Phys. Lett. A 171, 23 (1992)

    CrossRef  MathSciNet  Google Scholar 

  33. V.V. Kolosov, J. Phys. B Atom. Mol. Opt. Phys. 20, 2539 (1987)

    Google Scholar 

  34. V.M. Vainberg, V.D. Mur, V.S. Popov, A.V. Sergeev, Sov. Phys. JETP Lett. 46, 178 (1987)

    Google Scholar 

  35. E. Papp, Phys. Lett. A 132, 127 (1988)

    CrossRef  ADS  MathSciNet  Google Scholar 

  36. V.V. Kolosov, Opt. Spectroscop. 65, 150 (1988)

    ADS  Google Scholar 

  37. V.D. Mur, V.S. Popov, Sov. Phys. JETP 67, 2027 (1988)

    Google Scholar 

  38. I.D. Feranchuk, L.I. Komarov, Phys. Lett. A 88, 211 (1982)

    CrossRef  ADS  MathSciNet  Google Scholar 

  39. I.D. Feranchuk, L.I. Komarov, I.V. Nechipor, J. Phys. A Math. Gen. 20, 3849 (1987)

    CrossRef  ADS  MathSciNet  Google Scholar 

  40. D. Farrelly, W.P. Reinhardt, J. Phys. B Atom. Mol. 16, 2103 (1983)

    CrossRef  ADS  Google Scholar 

  41. R.J. Damburg, V.G. Kolosov, J. Phys. B Atom. Mol. 9, 3149 (1976)

    CrossRef  ADS  Google Scholar 

  42. C.Z. An, I.D. Feranchuk, L.I. Komarov, Phys. Lett. A 125, 123 (1987)

    CrossRef  ADS  Google Scholar 

  43. V.B. Pavlov-Verevkin, B.I. Zhilinskii, Phys. Lett. A 75, 279 (1980)

    CrossRef  ADS  Google Scholar 

  44. H. Friedrich, Phys. Rev. A 26, 1827 (1982)

    CrossRef  ADS  Google Scholar 

  45. E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963)

    CrossRef  Google Scholar 

  46. M. Kus, M. Lewenstein, J. Phys. A Math. Gen. 19, 305 (1986)

    CrossRef  ADS  MathSciNet  Google Scholar 

  47. P. Lais, T. Steimle, Opt. Commun. 78, 346 (1990)

    CrossRef  ADS  Google Scholar 

  48. E.K. Irish, Phys. Rev. Lett. 99, 173601 (2007)

    CrossRef  ADS  Google Scholar 

  49. E.K. Irish, Phys. Rev. Lett. 99, 259901 (2007)

    CrossRef  ADS  Google Scholar 

  50. P.M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953)

    MATH  Google Scholar 

  51. H. Reik, M. Doucha, Phys. Rev. Lett. 57, 787 (1986)

    CrossRef  ADS  Google Scholar 

  52. H. Reik, P. Lais, M. E. Stüzle, M. Doucha, J. Phys. A Math. Gen. 20, 6327 (1987)

    CrossRef  ADS  Google Scholar 

  53. R. Richtmyer, Principles of Advanced Mathematical Physics v.2 (Springer, New York, 1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Belarusian State University, Minsk, Belarus

    Ilya Feranchuk

  2. Physics Department, Belarusian National Technical University, Minsk, Belarus

    Alexey Ivanov

  3. Department of Physics, Ho Chi Minh City University of Pedagogy, Ho Chi Minh City, Vietnam

    Van-Hoang Le

  4. Atomicus GmbH, Karlsruhe, Germany

    Alexander Ulyanenkov

Authors
  1. Ilya Feranchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alexey Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Van-Hoang Le
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Alexander Ulyanenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and Permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Feranchuk, I., Ivanov, A., Le, VH., Ulyanenkov, A. (2015). Atoms in the External Electromagnetic Fields. In: Non-perturbative Description of Quantum Systems. Lecture Notes in Physics, vol 894. Springer, Cham. https://doi.org/10.1007/978-3-319-13006-4_7

Download citation