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.
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References
Flory P.J., Statistical Mechanics of Chain Molecules Interscience, New York (1969).
Feynman R.P. and Hibbs A.R., Path Integrals in Quantum Mechanics, Mc Graw Hill, New York 1965.
Freed K.F., Adv. Phys. Chem. 22 1 (1972).
Ito K. and Mc Kean H.P., Diffusion Processes and Their Sample Paths, Springer Verlag, Berlin (1965)
Whittaker E.B., Analytic Dynamics C.U.P.
A useful review is given by Freed, ref.2.
Edwards S.F. and Grant J.V., J.Phys. A6 1169–1185 (1973).
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Edwards, S.F. (1978). Path Integrals and Polymer Problems. In: Papadopoulos, G.J., Devreese, J.T. (eds) Path Integrals. NATO Advanced Study Institutes Series, vol 34. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9140-1_9
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DOI: https://doi.org/10.1007/978-1-4684-9140-1_9
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