An explicit formula is presented for a (conditional) Wiener integral, the integrand of which is an exponential of a general quadratic functional of the path. The functional integrals arising in non‐Markovian Gaussian approximations to various problems of statistical physics (e.g., theory of the large polaron, theory of disordered systems) are easily recovered as special cases.
REFERENCES
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R. P. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals (McGraw‐Hill, New York, 1965).
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B. Simon, Functional Integration and Quantum Physics (Academic, New York, 1979).
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J. Adamowski, B. Gerlach, and H. Leschke, in Functional Integration, Theory and Aplications, edited by J.‐P. Antoine and E. Tirapegui (Plenum, New York, 1980), pp. 291–301;
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For these definitions see, e.g., Refs. 2–4.
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© 1982 American Institute of Physics.
1982
American Institute of Physics
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