Advertisement

Path Integrals pp 285-313 | Cite as

Path Integrals and Polymer Problems

  • S. F. Edwards
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 34)

Abstract

Many physical problems can be written as path integrals. Polymer problems have a unique status since the representation is identical with the physical problem: the polymer is the path. For example the development of the perturbation theory of the interaction between polymers, and internally with the self interaction of a single polymer when represented by Feynman diagrams is both a representation of the mathematical problem and of what actually occurs in physics. This has a wonderful consequence in that one can use an intuitive approach quite directly to the mat hematics.

Keywords

Random Walk Path Integral Rayleigh Distribution Rouse Equation Lagrange Multiplier Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Flory P.J., Statistical Mechanics of Chain Molecules Interscience, New York (1969).Google Scholar
  2. 2.
    Feynman R.P. and Hibbs A.R., Path Integrals in Quantum Mechanics, Mc Graw Hill, New York 1965.MATHGoogle Scholar
  3. 2a.
    Freed K.F., Adv. Phys. Chem. 22 1 (1972).CrossRefGoogle Scholar
  4. 2b.
    Ito K. and Mc Kean H.P., Diffusion Processes and Their Sample Paths, Springer Verlag, Berlin (1965)CrossRefMATHGoogle Scholar
  5. 3.
    Whittaker E.B., Analytic Dynamics C.U.P.Google Scholar
  6. 4.
    A useful review is given by Freed, ref.2.Google Scholar
  7. 5.
    Edwards S.F. and Grant J.V., J.Phys. A6 1169–1185 (1973).ADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • S. F. Edwards
    • 1
  1. 1.Science Research Council and Cavendish LaboratoryCambridgeUK

Personalised recommendations