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Path reparametrization in path integrals for third-order differential equations

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Abstract

The methods of the theory of random processes are used to obtain a formula for the transformation of path integrals associated with third-order differential equations under reparametrization of the paths (substitution of a new time). An integral relationship between Green's functions of third-order differential equations is derived.

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References

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Institute of High Energy Physics, Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 3, pp. 375–385, March, 1993.

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Storchak, S.N. Path reparametrization in path integrals for third-order differential equations. Theor Math Phys 94, 265–271 (1993). https://doi.org/10.1007/BF01017257

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  • DOI: https://doi.org/10.1007/BF01017257

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