arXiv:hep-th/0105030 · Infinite Dimensional Analysis Quantum Probability and Related Topics

Adelic Path Integrals for Quadratic Lagrangians

Goran S. Djordjević, Branko G Dragovich, Ljubiša Nešić

Published Jun 1, 2003• 27 citations

Abstract

Feynman's path integral in adelic quantum mechanics is considered. The propagator [Formula: see text] 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 ℚp.

DOI: 10.1142/s0219025703001134

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