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Positron Annihilation as a Probe of Localized States in Fluids

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Condensed Matter Theories

Part of the book series: Condensed Matter Theories ((COMT,volume 7))

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Abstract

This paper concerns the properties of localized states of a light particle (e.g. electron, positron or positronium atom) thermalized in a fluid. In contrast with the more familiar Anderson localization which occurs in solids, in a fluid the atoms are free to rearrange their positions in the vicinity of the light particle and therefore participate in the formation of the average quantum state. Because electron localization affects the mobility of the charge carrier more than any other single factor, it has important consequences for charge transfer. In the following I will describe the experimental evidence for the existence of localized states and how positron annihilation provides a useful window for observing their properties. I will then introduce the theoretical models which have proven helpful for predicting the equilibrium structures and compare their relative merits. As an example, I will conclude with new results obtained from an application of the path integral to the behavior of a positron in Xenon.

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References

  1. N. Gee and G. R. Freeman, Can. J. Chem. 64, 1810 (1986).

    Article  Google Scholar 

  2. For an excellent review of the behavior of positrons in gases see I. T. Iakubov and A. G. Khrapak, Prog. Phys. 45, 697 (1982).

    Article  ADS  Google Scholar 

  3. For a review of the behavior of electrons in fluids see J. Hernandez, Rev. Mod. Phys. 63, 675, (1991).

    Article  ADS  Google Scholar 

  4. C. V. Briscoe, S. I. Choi, and A. T. Stewart, Phys. Rev. Lett. 20, 493, 1968.

    Article  ADS  Google Scholar 

  5. S. C. Sharma, R. H. Arganbright, and M. H. Ward, J. Phys. B 20, 867 (1987);

    Article  ADS  Google Scholar 

  6. S. C. Sharma and E. H. Juenguman, Phys. Lett. A 144, 47 (1986).

    Article  ADS  Google Scholar 

  7. M. Tuomisaari, K. Rytsola, and P. Hautojarvi, Phys. Lett. 112A, 279 (1988).

    ADS  Google Scholar 

  8. K. Rytsola, K. Rantapuska, and P. Hautojarvi, J. Phys. B 17, 347 (1984).

    Google Scholar 

  9. J. D. McNutt and S. C. Sharma, J. Chem. Phys. 68, 130 (1978).

    Article  ADS  Google Scholar 

  10. K. F. Canter and L. O. Roellig, Phys. Rev. A 12, 386 (1975).

    Article  ADS  Google Scholar 

  11. T. B. Daniel and R. Stump, Phys. Rev. 115, 1599 (1959).

    Article  ADS  Google Scholar 

  12. J. L. Levine and T. M. Sanders, Phys. Rev. 154, 138 (1967).

    Article  ADS  Google Scholar 

  13. R. L. Moore, C. L. Cleveland, and H. A. Gersch, Phys. Rev. B 18, 1183 (1978).

    Article  ADS  Google Scholar 

  14. B. N. Miller and T. Reese, Phys. Rev. A 39, 4735 (1989).

    Article  ADS  Google Scholar 

  15. B. N. Miller, in Positron Annihilation Studies of Fluids, ed. S. Sharma (World Scientific, Singapore, 1988) p. 81.

    Google Scholar 

  16. C. Ebner and C. Punyanita, Phys. Rev. A 19, 856 (1979).

    Article  ADS  Google Scholar 

  17. M. J. Stott and E. Zaremba, Phys. Rev. Lett. 38, 1493 (1977).

    Article  ADS  Google Scholar 

  18. R. M. Nieminen, M. Manninen, I. Vÿalimaa and P. Hautojarvi, Phys. Rev. A 21, 1677 (1980).

    Article  ADS  Google Scholar 

  19. M. Tuomisaari, K. Rytsola, R. M. Niemenen and P. Hautojarvi, J. Phys. B 19, 2667 (1986).

    Article  ADS  Google Scholar 

  20. T. Reese and B. N. Miller, Phys. Rev. A 42, 6068 (1990).

    Article  ADS  Google Scholar 

  21. B. N. Miller and Y. Fan, Phys. Rev. A 42, 2228 (1990).

    Article  ADS  Google Scholar 

  22. R. P. Feynman and A. R. Hibbs, “Quantum Mechanics and Path Integrals” (McGraw-Hill, New York, 1965);

    Google Scholar 

  23. R. P. Feynman, “Statistical Mechanics”, (Benjamin, Reading, Mass. 1972);

    Google Scholar 

  24. R. P. Feynman, Phys. Rev. 97, 660 (1955).

    Article  ADS  MATH  Google Scholar 

  25. D. Chandler, Y. Singh, and D. M. Richardson, J. Chem. Phys. 81,1975 (1984);

    Article  ADS  Google Scholar 

  26. A.L. Nichols III and D. Chandler, J. Chem. Phys. 81, 5109 (1984).

    Article  ADS  Google Scholar 

  27. D. F. Coker, B. J. Berne, and D. Thirumalai, J. Chem. Phys. 86, 5689 (1987);

    Article  ADS  Google Scholar 

  28. D. F. Coker and B. J. Berne, J. Chem. Phys. 86, 5689 (1987);

    Article  ADS  Google Scholar 

  29. M. F. Herman, E. J. Bruskin, and B. J. Berne, J. Chem. Phys. 76, 6150 (1982);

    Article  Google Scholar 

  30. D. Thirumalai, R. W. Hall and B. J. Berne, J. Chem. Phys. 81, 2523 (1984).

    Article  ADS  Google Scholar 

  31. E. H. Lieb, J. Math. Phys 8, 43 (1967).

    Article  ADS  Google Scholar 

  32. E. L. Pollock and D. M. Ceperley, Phys. Rev. B 30, 2555 (1984).

    Article  ADS  Google Scholar 

  33. Y. Fan and B. N. Miller, J. Chem. Phys. 93, 4322 (1990).

    Article  ADS  Google Scholar 

  34. M. Tuomisaari, K. Rytsola, and P Hautojarvi in “Positron Annihilation Studies of Fluids”, ed.S. C.Sharma (World Scientific, Singapore, 1988).

    Google Scholar 

  35. D. Schrader, Phys. Rev. A 20, 918 (1978); 34, 1810 (1986).

    Google Scholar 

  36. N. F. Lane and Geltman, Phys. Rev. 160, 53 (1967); 173, 183 (1968).

    Google Scholar 

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© 1992 Springer Science+Business Media New York

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Miller, B.N. (1992). Positron Annihilation as a Probe of Localized States in Fluids. In: Proto, A.N., Aliaga, J.L. (eds) Condensed Matter Theories. Condensed Matter Theories, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3352-8_13

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  • DOI: https://doi.org/10.1007/978-1-4615-3352-8_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6478-8

  • Online ISBN: 978-1-4615-3352-8

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