Quantum diffusion

Central European Journal of Physics

Volumn 2, Issue 3, 2004, Pages 420-455

  Pushkarov, Dimitar I ^a  

^a INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

Author keywords

Defectons; Quantum diffusion; Solid helium

Indexed keywords

EID: 33747613994     PISSN: 16443608     EISSN: 16443608     Source Type: Journal    
DOI: 10.2478/BF02476424     Document Type: Review

References (62)

1. D.I. Pushkarov: "Microscopic Quantum Theory of Defects at Low Temperatures", Zh. Eksp. Teor. Fiz., Vol. 59, (1970), pp. 1755-1764
2. D.I. Pushkarov: Sov. Phys. JETP, Vol. 32, (1971), pp. 954-958.
3. D.I. Pushkarov: Quasiparticle Theory of Defectons in Solids, World Scientific, Singapore - New Jersey - London - Hong Kong, 1990.
4. D.I. Pushkarov: Defektony v kristallah; metod kvazichastic v kvantovoj teorii defektov, Nauka, Moscow, (1993), (in Russian).
5. D.I. Pushkarov: "Defecton Kinetics in Quantum Crystals", Fiz.Nizk.Temp., Vol. 1, (1975), pp. 586-589
6. D.I. Pushkarov: Sov. J. Low. Temp. Phys., Vol. 1, (1975), pp. 283-285.
7. A.E. Meierovich: "Internal friction in solid helium", Zh.Eksp.Teor.Fiz., Vol. 67, No. 2(8), (1974), pp. 744-755.
8. D.I. Pushkarov and Kh.I. Pushkarov: "Delocalization and Diffusion of Defects in Quantum Crystals at T = 0", Phys. Stat. Sol. (b), Vol. 67, (1975), pp. K23-K25
9. 4He, Naukova Dumka, Kiev, 1982 (in Russian).
10. B.N. Eselson, V.N. Grigorjev, V.G. Ivantsov, V.A. Koval, E.Ya. Rudavskii and I.A. Serbin: Solutions of He3 - He4 Quantum Liquids, Nauka, Moscow, 1973 (in Russian).
11. I.F. Silvera: "The solid molecular hydrogens in the condensed phase: Fundamentals and static properties", Rev. Mod. Phys., Vol. 52, (1980), pp. 393-452
12. A. Abragam and M. Goldman: Nuclear Magnetism: Order and Disorder, Clarendon Press, Oxford, 1982.
13. D.I. Pushkarov: "On the Defecton Statistics in Quantum Crystals", Phys. Stat. Sol. (b), Vol. 133, (1986), pp. 525-531.
14. A.F. Andreev and I.M. Lifshitz: "Quantum theory of crystal defects", Zh. Eksp. Teor. Fiz., Vol. 56, (1969), pp. 2057-2068.
15. R.A. Guyer and L.I. Zane: "Mass-Fluctuation Waves", Phys. Rev. Lett., Vol. 24, (1970), pp. 660-663.
16. 4 solutions", Zh. Eksp. Teor. Fiz., Vol. 64, (1973), pp. 608-611.
17. 3 in the bodycentered cubic and hexagonal close packed phases of isotopic helium solutions", Zh. Eksp. Teor. Fiz., Vol. 66, (1974), pp. 321-329;
18. V.N. Grigoriev, B.N. Eselson and V.A. Mikheev: Sov.Phys.-JETP, Vol. 39, (1974), p. 153.
19. C.P. Flynn and A.M. Stoneham: "Quantum Theory of Diffusion with Application to Light Interstitials in Metals", Phys. Rev., Vol. 1, (1970), pp. 3966-3978.
20. D.I. Pushkarov: Quantum Theory of Defects in Crystals at Low Temp., Thesis (PhD), Moscow Univ., 1972.
21. 4He", Pis'ma v Zh. Eksp. Teor. Fiz., Vol. 19, (1974), pp. 751-754
22. D.I. Pushkarov: Sov. Phys. JETP, Vol. 19, (1974), pp. 386-387.
23. D.I. Pushkarov: "Defecton Diffusion in Quantum Crystals", Zh. Eksp. Teor. Fiz., Vol. 68, (1975), pp. 1471-1476
24. D.I. Pushkarov: Sov.Phys. JETP, Vol. 41, (1976), pp. 735-737.
25. D.S. Miyoshi, R.M. Cotts, A.S. Greenberg and R.C. Richardson: "Nuclear Magnetic Resonance in Solid Helium-3 - Helium-4 Mixtures between 0.3 and 2.0 K", Phys. Rev. A, Vol. 2, (1970), pp. 870-882.
26. R.G. Richards, J. Pope and A. Widom: "Evidence for Isotopic Impuritons in Solid Helium", Phys. Rev. Lett., Vol. 29, (1972), pp. 708-711.
27. 3He Impurities in Solid 4He", Pis'ma v Zh. Eksp. Teor. Fiz., Vol. 17, (1973), pp. 25-27.
28. 4He", J. Low Temp. Phys., Vol. 13, (1973), pp. 65-79.
29. 4He",In: K.D. Timmerhaus, W.J. O'Sullivan and E.F. Hammel (Eds): Low Temperature Physics - LT 13, Vol. 2, Quantum Crystals and Magnetism, Plenum Press, New York - London, 1974, pp. 73-78.
30. W. Huang, H.A. Goldberg and R.A. Guyer: "Quantum-crystal alloys I: Mass-fluctuation waves", Phys. Rev. B, Vol. 11, (1975), pp. 3374-3392.
31. 3He atoms tunneling in hcp solid 4He", Phys. Lett. A, Vol. 54, (1975), pp. 137-139
32. Y. Yamashita: "Diffusion of He3 Impurities in Solid He4", J. Phys. Soc. Japan, Vol. 37, (1974), pp. 1210-1214.
33. 4He", J. Low Temp Phys., Vol. 47, (1982), pp. 289-320.
34. 4. I. The Role of Impurity interaction Anisotropy", Fiz. Nizkih Temp., Vol. 3, (1977), pp. 1229-1239.
35. D.I. Pushkarov and Kh.I. Pushkarov: "Defecton Diffusion in the Very Quantum Region", Phys. Stat. Sol. (b), Vol. 74, (1976), pp. K97-K100.
36. J.E. Sacco and A. Widom: "Effects of Dimensionality and Crystal Structure on Bound States of Point Defects in Quantum Solids", J.Low Temp. Phys., Vol. 24, (1976), pp. 241-251.
37. R. Feynman: The Feynman Lectures on Physics, Addison-Wesley publ. comp., Massachusetts, 1963, (Chpt. 43 "Diffusion").
38. A.F. Andreev: "Diffusion in quantum crystals", Usp. Fiz. Nauk, Vol. 118, (1976), pp. 251-272.
39. I.M. Lifshitz: "Scattering of short elastic waves in a crystal lattice", Zh. Eksp. Teor. Fiz., Vol. 18, (1948), pp. 293-300.
40. I.M. Lifshitz and M.I. Kaganov: "Some problems of the electron theory of metals", Usp. Fiz. Nauk., Vol. 69, (1959), pp. 419-458.
41. I.M. Lifshitz, M.Ya. Azbel and M.I. Kaganov: Electron Theory of Metals, Nauka, Moscow, 1971 (in Russian).
42. A.A. Maradudin, E.W. Montroll and G.H. Weiss: Theory of Lattice Dynamics in the Harmonic Approximation, Acad. Press, New York and London, 1963.
43. 4. II. Tunneling-Jumping Approximation", Fiz. Nizkih Temp., Vol. 4, (1978), pp. 698-705.
44. Yu. Kagan and M.I. Klinger: "Theory of quantum diffusion of atoms in crystals", J. Phys. C: Solid-State Phys., Vol. 7, (1974), pp. 2791-2807.
45. 4He", J. Low Temp. Phys., Vol. 57, (1984), pp. 179-187.
46. B.N. Esel'son, V.A. Mikheev, V.N. Grigorev and N.P. Mikhin: "Impuriton diffusion in solid solutions of helium isotops", In: Proc. 20-th Soviet Conf. at Low Temp. Phys., NT-20, Vol. 2, Moscow, 1979, pp. 236-238.
47. ", Zh. Eksp. Teor. Fiz., Vol. 74, (1978), pp. 2311-2319
48. 4He", J.de Phys., Vol. 39, (Coll.C6), (1978), pp. C6-113-114.
49. V.N. Grigoriev et al.: "Observation and investrigation of quantum diffusion in solid mixtures of helium isotopes", Fizika Nizkih Temp., Vol. 1, (1975), pp. 5-26.
50. A. Widom and M.G. Richards: "Quantum Theory of Diffusion with Application to Solid Helium", Phys. Rev. A, Vol. 6, (1972), pp. 1196-1199.
51. D.O. Edwards and R.C. Pandorf: "Heat Capacity and Other Properties of Hexagonal Close-Packed Helium-4", Phys.Rev., Vol. 140, (1965), pp. A 816-825.
52. E.G. Kisvarsanyi, K. Runge and N.S. Sullivan: "The quantum diffusion of isotopic impurities in solid hydrogen", Phys.Lett. A, Vol. 155, (1991), pp. 337-341.
53. M. Rall, D. Zhou, E.G. Kisvarsanyi and N.S. Sullivan: "Nuclear Spin-Spin Relaxation of Isotopic Impurities in Solid Hydrogen", Phys.Rev. B, Vol. 45, (1992), pp. 2800-2808.
54. 4He", Phys.Rev. B, Vol. 48, (1993), pp. 16577-16581.
55. 4He' ", Phys.Rev. B, Vol. 55, (1997), pp. 3989-3989.
56. 4He' ", Phys.Rev. B, Vol. 61, (2000), pp. 15476-15476.
57. 4He", J.Low Temp. Phys, Vol. 32, (1978), pp. 159-172.
58. 4He'", Phys. Rev. B, Vol. 55, (1997), pp. 3987-3988.
59. 4He' ", Phys.Rev. B, Vol. 61, (2000), pp. 15474-15475.
60. H. Goldstein: Classical Mechanics, Addison-Wesley, Reading, MA, 1980 (Chpt. 3 Eq. 397).
61. Yu. Kagan and L.A. Maksimov: "Quantum diffusion in irregular crystals", Zh.Eksp.Teor.Fiz., Vol. 84, (1983), pp. 792-810.
62. 3He atoms", Fizika Nizkih Temp., Vol.9, (1983), pp. 901-912