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Quantum Brownian Motion: Recent Developments

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Quantum Optics IV

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 12))

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Abstract

This is a short report reviewing the progress achieved in Quantum Brownian Motion over the last five years. The emphasis will be, mainly, on basic ideas and results. I shall not try to invest any time in lengthy deductions or mathematical details of the approach employed here.

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References

  1. Selected Papers on Noise and Stochastic Processes, Nelson Wax, ed. ( Dover, NY, 1954 )

    Google Scholar 

  2. K.K. Likharev, Rev. Mod. Phys., vol. 51, No. 1 (1979) 101

    Article  ADS  Google Scholar 

  3. A.O. Caldeira, D. Phil. Thesis, Univ. of Sussex (1980) unpublished

    Google Scholar 

  4. R.F. Voss and R.A. Webb, Phys. Rev, Lett. 47 (1931) 697

    Google Scholar 

  5. A. O. Caldeira and £.J. Leggett, Physica 121A (1983) 587 and references therein

    Google Scholar 

  6. A. O. Caldeira and A.J. Leggett, Annals of Physics 149 (1983) 374

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  8. R.P. Feynman, “Statistical Mechanics” ( Benjamin, New York, 1972 )

    Google Scholar 

  9. L.D. Chang and D. Waxman, preprint of the SUMY at Stonybrook (1985)

    Google Scholar 

  10. V. Hakim and V. Ambegaokar, Phys. Rev. A32 (1985) 423

    Article  ADS  Google Scholar 

  11. R. Benguria and M. Kac, Phys. Rev. Lett. 46 (1981) 1

    Article  MathSciNet  ADS  Google Scholar 

  12. A. O. Caldeira and A.J. Leggett, Phys. Rev. A31 (1985) 1059

    ADS  Google Scholar 

  13. H. Grabert, U. Weiss and P. Hänggi, Phys, Rev. Lett, 52 (1984) 2193

    Article  MathSciNet  ADS  Google Scholar 

  14. H. Grabert and U. Weiss, Z. Phys, B 56 (1984) 171

    Article  MathSciNet  ADS  Google Scholar 

  15. A. Larkin and Yu. N. Ovchinikov, J.E.T.P. Lett. 37 (1933) 382

    ADS  Google Scholar 

  16. M. Büttiker and R. Landauer, Phys. Rev. B 30 (1984) 1551

    Article  ADS  Google Scholar 

  17. D. Waxman, D. Phil. Thesis, Univ. of Sussex (1984) unpublished

    Google Scholar 

  18. W. Zwerger, preprint of the Univ. of Illinois at Urbana (1984)

    Google Scholar 

  19. A.J. Bray and M.A. Moore, Phys. Rev. Lett. 49 (1982) 1545 S.

    Article  ADS  Google Scholar 

  20. Chakravarty and A.J. Leggett, Phys. Rev. Lett. 52 (1984) 5

    Article  ADS  Google Scholar 

  21. S. Chakravarty, A.T. Dorsey, M,P.A. Fisher, A. Garg, A.J. Leggett and W. Zwerger, to appear in Rev. Mod. Phys.

    Google Scholar 

  22. S. Washburn, R.A. Webb, R.F. Voss and S. M. Faris, preprint of the IBM — Thomas J. Watson Research Center (1985)

    Google Scholar 

  23. D.B. Schwartz, B. Sen, C.N. Archie and J.E. Lukens, preprint of the SUNY at Stonybrook (1985)

    Google Scholar 

  24. F. Guinea, Phys. Rev. Lett. 53 (1984) 154

    Article  Google Scholar 

  25. P. Hedegard and A.0. Caldeira — Research Report, IBM Thomas J. Watson Research Center (1985) and submitted to Phys. Rev. B.

    Google Scholar 

  26. P. Hedegard and A.O. Caldeira - Research Report, IBM Thomas J. Watson Research Center (1985) and submitted to Phys. Rev. B. )

    Google Scholar 

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© 1986 Springer-Verlag Berlin Heidelberg

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Caldeira, A.O. (1986). Quantum Brownian Motion: Recent Developments. In: Harvey, J.D., Walls, D.F. (eds) Quantum Optics IV. Springer Proceedings in Physics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71407-8_23

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  • DOI: https://doi.org/10.1007/978-3-642-71407-8_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71409-2

  • Online ISBN: 978-3-642-71407-8

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