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Methodological notes


Semiclassical approach to nuclear gamma resonance in crystals

 a,  b
a Institute for Nuclear Research, Russian Academy of Sciences, prosp. 60-letiya Oktyabrya 7a, Moscow, 117312, Russian Federation
b Kapitza Institute of Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117334, Russian Federation

The emission of phonons produced under the absorption or emission of a γ quantum (or the scattering of an electron or a neutron) by an atomic nucleus in a crystal lattice is a Poisson process from the probability point of view. This approach enables, in particular, an expression for the Mössbauer effect probability to be derived in a simple and transparent manner without the cumbersome mathematical (quantum-mechanical) computations being involved.

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Fulltext is also available at DOI: 10.1070/PU2000v043n01ABEH000598
PACS: 76.20.+q, 76.60.−k, 76.80.+y, 76.90.+d (all)
DOI: 10.1070/PU2000v043n01ABEH000598
URL: https://ufn.ru/en/articles/2000/1/d/
000086055100004
Citation: Stepanov A V, Tsipenyuk Yu M "Semiclassical approach to nuclear gamma resonance in crystals" Phys. Usp. 43 79–87 (2000)
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Оригинал: Степанов А В, Ципенюк Ю М «Полуклассический подход к описанию ядерного гамма-резонанса в кристаллах» УФН 170 83–92 (2000); DOI: 10.3367/UFNr.0170.200001e.0083

References (30) ↓ Cited by (2) Similar articles (4)

  1. Mössbauer R L Z. Phys. 151 124 (1958)
  2. Mössbauer R L Z. Naturforsch. Teil A 14 211 (1959)
  3. Shapiro F L Usp. Fiz. Nauk 72 685 (1960) [Sov. Phys. Usp. 3 881 (1961)]
  4. Kagan Yu M, in Effekt Messbauera (The Mössbauer Effect, Ed. Yu M Kagan, Moscow: IL, 1962) p. 5
  5. Frauenfelder H The Mössbauer Effect (New York: Benjamin, 1962) [Translated into Russian (Moscow: Atomizdat, 1964)]
  6. Gonser U "From a strange effect to Mössbauer spectroscopy", in Mössbauer Spectroscopy (Ed. U Gonser, New York: Springer-Verlag, 1975)
  7. Lipkin H J Quantum Mechanics. New Approaches to Selected Topics (Amsterdam: North-Holland Publ. Co., 1973) [Translated into Russian (Moscow: Mir, 1977)]
  8. Wertheim G K Mössbauer Effect. Principles and Applications (New York: Academic Press, 1964) [Translated into Russian (Moscow: Mir, 1966)]
  9. Shpinel’ V S Rezonans Gamma-lucheî v Kristallakh (Gamma Resonance in Crystals, Moscow: Nauka, 1969)
  10. Gonser U (Ed.) Mössbauer Spectroscopy (New York: Springer-Verlag, 1975)
  11. Masterov V F, Nasredinov F S, Seregin P P Messbauerovskaya Spektroskopiya (Laboratornyî Praktikum, Mössbauer Spectroscopy. Laboratory Course, St.-Petersburg: Izd. SPbGTU, 1996)
  12. Igoshin F F, Samarskiî Yu A, Tsipenyuk Yu M Fizicheskoe Obrazovanie v Vuzakh 5 (3) 147 (1999)
  13. Lipkin H J Ann. Phys. (N Y) 9 332 (1960) [Translated into Russian, see Ref. [4], p. 183]
  14. Migdal A B Kachestvennye Metody v Kvantovoî Teorii (Qualitative Methods in Quantum Theory, Moscow: Nauka, 1975) p. 92 [Translated into English (Redwood City, Calif.: Addison Wesley Publ. Co., 1977)]
  15. Afanas’ev A M, Kagan Yu M Zh. Eksp. Teor. Fiz. 48 327 (1965) [Sov. Phys. JETP 21 215 (1965)]
  16. Gancedo J R, Gracia M, Marco J F Hyperfine Interact. 83 71 (1994)
  17. Vandernberghe R E, de Grave E, de Bakker P M A Hyperfine Interact. 83 29 (1994)
  18. Hagy D L Hyperfine Interact. 83 3 (1994)
  19. Chemical Applications of Mössbauer Spectroscopy (Eds V I Gol’danskii, R M Herber, New York: Academic Press, 1968) [Translated into Russian (Moscow: Mir, 1970)]
  20. Frauenfelder H Hyperfine Interact. 90 21 (1994)
  21. Johnson C E Hyperfine Interact. 90 27 (1994)
  22. Belozerskiî G N Messbauerovskaya Spektroskopiya kak Metod Issledovaniya Poverkhnosti (Mössbauer Spectroscopy as a Method of Surface Study, Moscow: Energoatomizdat, 1990)
  23. Vysotskiî V I, Kuz’min R N Gamma-lazery (Gamma Lasers, Moscow: Izd. Mosk. Univ., 1989)
  24. Belyakov V A Difraktsionnaya Optika Pereodicheskikh Sred Slozhnoî Struktury (Diffraction Optics of Complex-Structured Periodic Media, Moscow: Nauka, 1988) [Translated into English (New York: Springer-Verlag, 1992)]
  25. Kohn V G, Smirnov G V Phys. Rev. B 57 5788 (1998)
  26. Lomonosov V V, Sazonov S B Zh. Eksp. Teor. Fiz. 107 86 (1995) [JETP 80 45 (1995)]
  27. Hoy G J. Phys.: Condens. Matter 9 8749 (1997)
  28. Koncharovskaya O, Kolesov R, Rostovtsev Yu Phys. Rev. Lett. 82 3593 (1999)
  29. Podgoretskiî M I, Stepanov A V Zh. Eksp. Teor. Fiz. 40 561 (1961) [Sov. Phys. JETP 13 393 (1961)]
  30. Singwi K S, Sjölander A Phys. Rev. 120 1093 (1960) [Translated into Russian, see Ref. [4], p. 193]
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