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Scattering length and diffusion

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Abstract

An expression for an asymptotic property of the Green's function for the diffusion of a particle is obtained. It is shown that this provides (as a special case) a very simple derivation of a previous result of Kac and Luttinger relating the scattering length to a certain Wiener integral.

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References

  1. J. Blatt and V. Weisskopf,Nuclear Physics, Wiley, New York (1953).

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  2. M. Kac and J. M. Luttinger,Ann. Inst. Fourier, Grenoble 25:4 (1975).

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  3. M. Kac,Rocky Mt. J. Math. 4:3 (1974).

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  4. M. Kac,Probability and Related Topics in Physical Science, Interscience, New York (1959), Vol. I, p. 161ff.

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Author notes

  1. J. M. Luttinger

    Present address: Department of Physics, Columbia University, New York, New York

Authors and Affiliations

  1. Rockefeller University, New York, New York

    J. M. Luttinger

Authors
  1. J. M. Luttinger
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Additional information

Guggenheim Fellow, 1975–1976. This work was also supported in part by the National Science Foundation.

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Luttinger, J.M. Scattering length and diffusion. J Stat Phys 15, 215–218 (1976). https://doi.org/10.1007/BF01012877

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  • DOI: https://doi.org/10.1007/BF01012877

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