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1987

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November

  

Reviews of topical problems


New results on the Stark and Zeeman effects in the hydrogen atom


Institute of Nuclear Fusion, Russian Research Centre Kurchatov Institute, pl. Kurchatova 46, Moscow, 123182, Russian Federation

The review deals with a new range of problems related to the Stark and Zeeman effects in the hydrogen atom, which have attracted a growing interest in these effects during the last decade. These problems include the behavior of a highly excited hydrogen atom in fairly strong electric (F) and magnetic (B) fields. All the parameters describing the behavior of an atom in the fields F and B are considered: changes in the energy levels, lifetimes of the states, intensities (oscillator strengths), decay probabilities, nature of atomic electron trajectories, including the possibility of their stochastization. Both analytic and numerical solution methods are described. Much attention is given to semiclassical and purely classical approaches, which are being developed rapidly. The review is designed to provide a description of the methods without the need to refer to the literature.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.1070/PU1987v030n11ABEH002977
PACS: 32.60.+i, 32.70.Cs, 31.15.Gy (all)
DOI: 10.1070/PU1987v030n11ABEH002977
URL: https://ufn.ru/en/articles/1987/11/b/
Citation: Lisitsa V S "New results on the Stark and Zeeman effects in the hydrogen atom" Sov. Phys. Usp. 30 927–951 (1987)
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Îðèãèíàë: Ëèñèöà Â Ñ «Íîâîå â ýôôåêòàõ Øòàðêà è Çååìàíà äëÿ àòîìà âîäîðîäà» ÓÔÍ 153 379–421 (1987); DOI: 10.3367/UFNr.0153.198711b.0379

References (76) ↓ Cited by (34) Similar articles (20)

  1. Bethe H A and E E Salpeter Quantum Mechanics In One- And Two-Electron Systems (Springer Verlag, Berlin, 1958); reprinted from, Bethe H A and E E Salpeter Handbuch Der Physik Vol. Vol. 85 ed by S Flugge (Springer Verlag, Berlin, 1957) p. 88–346; Russ. transl., Bethe H A and E E Salpeter Handbuch Der Physik (Fizmatgiz, M.], 1960)
  2. Landau L D and E M Lifshitz Quantum Mechanics: Non-Relativistic Theory 3rd ed. (Pergamon Press, Oxford, 1977); Russ. original, Landau L D and E M Lifshitz Quantum Mechanics: Non-Relativistic Theory (Nauka, M.], 1974)
  3. Sobelman I I Introduction To The Theory Of Atomic Spectra (Pergamon Press, Oxford, 1973); Russ. original later ed., Sobelman I I Introduction To The Theory Of Atomic Spectra (Nauka, M.], 1977)
  4. Smirnov B M Usp. Fiz. Nauk 131 577 (1980); Smirnov B M Sov. Phys. Usp. 23 450 (1980)
  5. Letokhov V S, V I Mishin, and A A Puretski&ibreve; Khim. Plazmy (No. 4) 224 (1977)
  6. Elliott R J and R Loudon J. Phys. Chem. Solids 15 196 (1960)
  7. Hasegawa H and R E Howard J. Phys. Chem. Solids 21 179 (1961)
  8. Kadomtsev B B Zh. Eksp. Teor. Fiz. 58 1765 (1970); Kadomtsev B B Sov. Phys. JETP 31 945 (1970)
  9. Kadomtsev B B and V S Kudryavtsev Zh. Eksp. Teor. Fiz. 62 144 (1972); Kadomtsev B B and V S Kudryavtsev Sov. Phys. JETP 35 76 (1972)
  10. Garstang R H Rep. Prog. Phys. 40 105 (1977)
  11. Griem H R Spectral Line Broadening By Plasmas (Academic Press, New York, 1974); Russ. trans., Griem H R Spectral Line Broadening By Plasmas (Mir, M.], 1978)
  12. Lisitsa V S Usp. Fiz. Nauk 122 449 (1977); Lisitsa V S Sov. Phys. Usp. 20 603 (1977)
  13. Gordon K J, C P Gordon, and F J Lockman Astrophys. J. 192 337 (1974)
  14. Gulyaev S A Astron. Zh. 53 1010 (1976); Gulyaev S A Sov. Astron. 20 573 (1976)
  15. Seaton M J Rep. Prog. Phys. 46 167 (1983)
  16. Delone N B and V P Kra&ibreve;nov Atom In A Strong Optical Field [in Russian] (Energoatomizdat, Moscow, 1984)
  17. Stebbings R F and F B Dunning (eds) Rydberg States Of Atoms And Molecules (Cambridge University Press, 1983)
  18. Drukarev G F Zh. Eksp. Teor. Fiz. 82 1388 (1982); Drukarev G F Zh. Eksp. Teor. Fiz. 55 806 (1982)
  19. Bureeva L A Astron. Zh. 45 1215 (1968); Bureeva L A Sov. Astron. 12 962 (1969)
  20. Goreslavski&ibreve; S P, N B Delone, and V P Kra&ibreve;nov Zh. Eksp. Teor. Fiz. 82 1789 (1982); Goreslavski&ibreve; S P, N B Delone, and V P Kra&ibreve;nov Sov. Phys. JETP 55 1032 (1982)
  21. Landau L D and E M Lifshitz The Classical Theory Of Fields 2nd ed. (Pergamon Press, Oxford, 1962); Russ. original, Landau L D and E M Lifshitz The Classical Theory Of Fields 2nd ed. (Fimatgiz, M.], 1960)
  22. Kogan V I and A B Kukushkin Zh. Eksp. Teor. Fiz. 87 1164 (1984); Kogan V I and A B Kukushkin Sov. Phys. JETP 60 665 (1984)
  23. Kukushkin A B and V S Lisitsa Zh. Eksp. Teor. Fiz. 88 1570 (1985); Kukushkin A B and V S Lisitsa Sov. Phys. JETP 61 937 (1985)
  24. Herrick D R Phys. Rev. A 26 323 (1982)
  25. Hiskes J R, C B Tarter, and D A Moody Phys. Rev. 133 A424 (1964)
  26. Gulyaev S A Astron. Zh. 55 1002 (1978); Gulyaev S A Sov. Astron. 22 572 (1978)
  27. Smirnov B M and M I Chibisov Zh. Eksp. Teor. Fiz. 49 841 (1965); Smirnov B M and M I Chibisov Sov. Phys. JETP 22 585 (1966)
  28. Damburg R Ya (J) and V V Kolosov J. Phys. B 11 1921 (1978)
  29. Damburg R Ya and V V Kolosov Asymptotic Approach To The Stark Problem In The Case Of The Hydrogen Atom [in Russian] (Zinatne, Riga, 1977)
  30. Kadomtsev B B, V I Kogan, B M Smirnov, and V D Shafranov Usp. Fiz. Nauk 124 547 (1978); Kadomtsev B B, V I Kogan, B M Smirnov, and V D Shafranov Sov. Phys. Usp. 21 272 (1978)
  31. Banks D and J G Leopold J. Phys. B 11 37 (1978)
  32. Zaretski&ibreve; D F and V P Kra&ibreve;nov Zh. Eksp. Teor. Fiz. 67 1301 (1974); Zaretski&ibreve; D F and V P Kra&ibreve;nov Sov. Phys. JETP 40 647 (1975)
  33. Kadomtsev M B and B M Smirnov Zh. Eksp. Teor. Fiz. 80 1715 (1981); Kadomtsev M B and B M Smirnov Sov. Phys. JETP 53 885 (1981)
  34. Lanczos C Z. Phys. 62 518 (1930)
  35. Froman N and P O Froman JWKB Approximation (North-Holland, Amsterdam, 1965); Russ. transl., Froman N and P O Froman JWKB Approximation (Mir, M.], 1967)
  36. Bailey D S, J R Hiskes, and A C Riviere Nucl. Fusion 5 41 (1965)
  37. Hoe N, B D’Etat, and G Coulaud Phys. Lett. A 85 327 (1981)
  38. Zimmerman M L, M G Littman, M M Kash, and D Klepner Phys. Rev. A 20 2251 (1979)
  39. Rau A R P, R O Mueller, and L Spruch Phys. Rev. A 11 1865 (1975)
  40. Galindo A and P Pascual Nuovo Cimento B 34 155 (1976)
  41. Praddaude H C Phys. Rev. A 6 1321 (1972)
  42. Simola J and J Virtamo J. Phys. B 11 3309 (1978)
  43. Cabib D, E Fabri, and G Fiorio Nuovo Cimento B 10 185 (1972)
  44. Zhilich A G and B S Monozon Fiz. Tverd. Tela (Leningrad) 8 3559 (1966); Zhilich A G and B S Monozon Sov. Phys. Solid State 8 2846 (1967)
  45. Zimmerman M L, M M Kash, and D Kleppner Phys. Rev. Lett. 45 1092 (1980)
  46. Clark C W and K T Taylor J. Phys. B 13 L737 (1980)
  47. Solov’ev E A Zh. Eksp. Teor. Fiz. 82 1762 (1982); Solov’ev E A Sov. Phys. JETP 55 1017 (1982)
  48. Herrick D R Phys. Rev. 26 323 (1982)
  49. Robnik M J. Phys. A 14 3195 (1981)
  50. Baz’ A I, Ya B Zel’dovich, and A M Perelomov Scattering, Reactions, and Decay in Nonrelativistic Quantum Mechanics, Israel program for Scientific Translations (Jerusalem; Wiley, New York, 1969); Russ. original, Baz’ A I, Ya B Zel’dovich, and A M Perelomov Scattering, Reactions, and Decay in Nonrelativistic Quantum Mechanics, Israel program for Scientific Translations (Nauka, M., 1971), 2nded.]
  51. Braun P A Zh. Eksp. Teor. Fiz. 84 850 (1983); Braun P A Sov. Phys. JETP 57 492 (1983)
  52. Kazantsev A P, V L Pokrovskii (Pokrovsky), and J Bergou Phys. Rev. A 28 3659 (1983)
  53. Forster H, W Strupat, W Rosner, G Wunner, H Ruder, and H Herold J. Phys. B 17 1301 (1984)
  54. Delos J B, S K Knudson, and D W Noid Phys. Rev. A 30 1208 (1984)
  55. Lichtenberg A H and M A Liberman Regular And Stochastic Motion (Springer Verlag, Berlin, 1983); Russ. transl., Lichtenberg A H and M A Liberman Regular And Stochastic Motion (Mir., M.], 1984)
  56. Wunner G, H Ruder, and H Herold Phys. Lett. A 85 430 (1981)
  57. Pavlov-Verevkin V B and B I Zhilinski&ibreve; Phys. Lett. A 75 279 (1980)
  58. Friedrich H Phys. Rev. A 26 1827 (1982)
  59. Herold H, H Ruder, and G Wunner J. Phys. B 14 751 (1981)
  60. Wunner G, H Ruder, and H Herold Phys. Lett. A 85 430 (1981)
  61. Rosner W, G Wunner, H Herold, and H Ruder J. Phys. B 17 29 (1984)
  62. Hoe N, H W Drawin, and L Herman J. Quant. Spectrosc. Radiat. Transfer. 7 429 (1967)
  63. Demura A V, V S Lisitsa Zh. Eksp. Teor. Fiz. 62 2161 (1972); Demura A V, V S Lisitsa Sov. Phys. JETP 35 1130 (1972)
  64. Gor’kov L P and I E Dzyaloshinskii Zh. Eksp. Teor. Fiz. 53 717 (1967); Gor’kov L P and I E Dzyaloshinskii Sov. Phys. JETP 26 449 (1968)
  65. Slichter C P Principles Of Magnetic Resonance With Examples From Solid State Physics (Harper and Row, N. Y., 1963); Russ. transl., Slichter C P Principles Of Magnetic Resonance With Examples From Solid State Physics (Mir., M.], 1968)
  66. Ishimura T J. Phys. Soc. Jpn. 23 422 (1967)
  67. Lisitsa V S Opt. Spektrosk. 31 862 (1971); Lisitsa V S Opt. Spectrosc. (USSR) 31 468 (1971)
  68. Manakov N L and L P Rapoport Zh. Eksp. Teor. Fiz. 69 842 (1975); Manakov N L and L P Rapoport Sov. Phys. JETP 42 430 (1975)
  69. Lisitsa V S and G V Sholin Zh. Eksp. Teor. Fiz. 61 912 (1971); Lisitsa V S and G V Sholin Sov. Phys. JETP 34 484 (1972)
  70. Demkov Yu N, V N Ostrovski&ibreve;, and E A Solov’ev Zh. Eksp. Teor. Fiz. 66 125 (1974); Demkov Yu N, V N Ostrovski&ibreve;, and E A Solov’ev Sov. Phys. JETP 39 57 (1974)
  71. Born M The Mechanics Of The Atom (G. Bell and Sons, London, 1927); Russ. transl., Born M The Mechanics Of The Atom (ONTI. M.], 1934)
  72. Kotkin G L and V G Serbo Collection Of Problems On Classical Mechanics [in Russian] (Nauka, Moscow, 1977)
  73. Demkov Yu N, B S Monozon, and V N Ostrovski&ibreve; Zh. Eksp. Teor. Fiz. 57 1431 (1969); Demkov Yu N, B S Monozon, and V N Ostrovski&ibreve; Sov. Phys. JETP 30 775 (1970)
  74. Solov’ev E A Zh. Eksp. Teor. Fiz. 85 109 (1983); Solov’ev E A Sov. Phys. JETP 58 63 (1983)
  75. Turbiner A V Zh. Eksp. Teor. Fiz. 84 1329 (1983); Turbiner A V Sov. Phys. JETP 57 770 (1983)
  76. Burkova L A, I E Dzyaloshinski&ibreve;, G F Drukarev, and B S Monozon Zh. Eksp. Teor. Fiz. 71 526 (1976); Burkova L A, I E Dzyaloshinski&ibreve;, G F Drukarev, and B S Monozon Sov. Phys. JETP 44 276 (1976)

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