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Adelic Path Integrals for Quadratic Lagrangians

Goran S. Djordjević

Department of Physics, Faculty of Sciences, University of Niš, P. O. Box 224, 18001 Niš, Yugoslavia

Also at Sektion Physik, Universität München, Theresienstr. 37, D-80333 München, Germany.

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Branko Dragovich

Steklov Mathematical Institute, Gubkin St. 8, GSP-1, 117966, Moscow, Russia

Institute of Physics, P. O. Box 57, 11001 Belgrade, Yugoslavia

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Ljubiša Nešić

Department of Physics, Faculty of Sciences, University of Niš, P. O. Box 224, 18001 Niš, Yugoslavia

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https://doi.org/10.1142/S0219025703001134Cited by:16 (Source: Crossref)

Abstract

Feynman's path integral in adelic quantum mechanics is considered. The propagator for one-dimensional adelic systems with quadratic Lagrangians is analytically evaluated. Obtained exact general formula has the form which is invariant under interchange of the number fields ℝ and ℚ_p.

Keywords:

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