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Perturbation of the excited states of the hydrogen atom and hydrogen-like ions by a neutral atom

  • Atoms, Molecules, Optics
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Abstract

Owing to the degeneracy of the energy levels, the wavefunction of the electron in the excited states of the hydrogen atom and hydrogen-like ions perturbed by a neutral atom B is significantly different from the wavefunction of the unperturbed state. The perturbed function has a wide high maximum in the region of atom B, which is explained by multiple collisions of the electron with atom B, because the classical trajectories in the Coulomb field are closed and the size of atom B is much smaller than the size of the excited-state orbit. The radiative lifetimes of the excited states are much larger than those of unperturbed states. The orbital angular momentum L of the excited electron is strongly changed in collisions with atom B owing to the quantum interference or mixing of the temporal phases of adiabatic wavefunctions. The cross sections for such a change in the orbital angular momentum are several orders of magnitude larger than the cross sections found in early investigations in the approximation of the single collision of the electron with atom B.

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References

  1. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989; Butterworth-Heinemann, Oxford, 1991).

    Google Scholar 

  2. M. I. Chibisov, A. M. Ermolaev, M. Sherkani, and F. Brouillard, Zh. Éksp. Teor. Fiz. 117(2), 313 (2000) [JETP 90 (2), 276 (2000)]; M. I. Chibisov, Phys. Rev. Lett. 84, 451 (2000); J. Phys. B: At., Mol. Opt. Phys. 34, 49 (2001).

    Google Scholar 

  3. M. I. Chibisov, Zh. Éksp. Teor. Fiz. 120(2), 291 (2001) [JETP 93 (2), 256 (2001)]; Usp. Fiz. Nauk 172 (1), 3 (2002) [Phys.-Usp. 45 (1), 1 (2002)].

    Google Scholar 

  4. M. I. Chibisov, A. A. Khuskivadze, and I. I. Fabrikant, J. Phys. B: At., Mol. Opt. Phys. 35, L193 (2002).

    Article  ADS  Google Scholar 

  5. A. A. Khuskivadze, M. I. Chibisov, and I. I. Fabrikant, Phys. Rev. A: At., Mol., Opt. Phys. 66, 042709 (2002).

    ADS  Google Scholar 

  6. M. I. Chibisov, Zh. Éksp. Teor. Fiz. 132(5), 1064 (2007) [JETP 105 (5), 927 (2007)].

    Google Scholar 

  7. I. V. Komarov, L. I. Ponomarev, and S. Yu. Slavyanov, Spheroidal and Coulomb Spheroidal Functions (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  8. Yu. N. Demkov and V. N. Ostrovskii, Zero-Range Potentials and Their Applications in Atomic Physics (Leningrad State University, Leningrad, 1975; Plenum, New York, 1988).

    Google Scholar 

  9. T. M. Kereselidze and M. I. Chibisov, Zh. Éksp. Teor. Fiz. 68(1), 12 (1975) [Sov. Phys. JETP 41 (1), 6 (1975)]; M. I. Chibisov and T. M. Kereselidze, Preprint No. IAE-5410/6 (Institute of Atomic Energy, Moscow, 1991); T. M. Kereselidze, I. L. Noselidze, and M. I. Chibisov, J. Phys. B: At., Mol. Opt. Phys. 36, 853 (2003).

    Google Scholar 

  10. O. B. Firsov, Zh. Éksp. Teor. Fiz. 21, 1001 (1951).

    Google Scholar 

  11. V. S. Lebedev and I. L. Beigman, Physics of Highly Excited Atoms and Ions (Springer, Berlin, 1998).

    Google Scholar 

  12. V. S. Lebedev and I. I. Fabrikant, J. Phys. B: At., Mol. Opt. Phys. 30, 2649 (1997); J. Phys. B: At., Mol. Opt. Phys. 33, 1521 (2000).

    Article  ADS  Google Scholar 

  13. A. Omont, J. Phys. (Paris) 38, 1343 (1977).

    Google Scholar 

  14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Fizmatlit, Moscow, 1962; Academic, New York, 1965).

    Google Scholar 

  15. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 1: Mechanics (Fizmatlit, Moscow, 1958; Pergamon, Oxford, 1960).

    Google Scholar 

  16. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Academic, New York, 1957; Fizmatlit, Moscow, 1960).

    MATH  Google Scholar 

  17. I. I. Sobelman, Introduction to the Theory of Atomic Spectra (Fizmatlit, Moscow, 1963; Pergamon, Oxford, 1972).

    Google Scholar 

  18. L. Hostler and R. H. Pratt, Phys. Rev. Lett. 10(11), 469 (1963).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  19. L. Hostler, J. Math. Phys. (Melville, NY, USA) 5(5) 591 (1964).

    Google Scholar 

  20. W. Gordon, Ann. Phys. (Weinheim) 2, 1031 (1929).

    ADS  Google Scholar 

  21. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 4: V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii Relativistic Quantum Theory (Nauka, Moscow, 1968; Pergamon, Oxford, 1971).

    Google Scholar 

  22. E. Fermi, Nuovo Cimento 11, 157 (1934).

    Article  MATH  Google Scholar 

  23. I. I. Fabrikant and M. I. Chibisov, Phys. Rev. A: At., Mol., Opt. Phys. 61, 022 718 (2000).

    Google Scholar 

  24. E. E. Nikitin and S. Ya. Umanskii, Theory of Slow Atomic Collisions (Atomizdat, Moscow, 1979; Springer, Berlin, 1984).

    Google Scholar 

  25. R. W. Hamming, Numerical Methods for Scientists and Engineers (McGraw-Hill, New York 1962; Nauka, Moscow 1972).

    MATH  Google Scholar 

  26. S. K. Godunov and V. S. Ryaben’kii, Difference Schemes: An Introduction to the Underlying Theory (Nauka, Moscow, 1973; North-Holland, Amsterdam, 1987).

    Google Scholar 

  27. Methods in Computational Physics: Advances in Research and Applications, Vol. 10: Atomic and Molecular Scattering, Ed. by B. Alder, S. Fernbach, and M. Rotenberg (Wiley, New York, 1971; Mir, Moscow, 1974).

    Google Scholar 

  28. V. S. Marchenko and V. S. Lebedev, Zh. Éksp. Teor. Fiz. 84(5), 1623 (1983) [Sov. Phys. JETP 57 (5), 946 (1983)].

    Google Scholar 

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Correspondence to M. I. Chibisov.

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Original Russian Text © M.I. Chibisov, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 136, No. 6, pp. 1069–1093.

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Chibisov, M.I. Perturbation of the excited states of the hydrogen atom and hydrogen-like ions by a neutral atom. J. Exp. Theor. Phys. 109, 924–945 (2009). https://doi.org/10.1134/S1063776109120036

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