Adelic Path Integrals for Quadratic Lagrangians

Details Adelic Path Integrals for Quadratic Lagrangians Adelic Path Integrals for Quadratic Lagrangians

2001-05-03

arxiv.org/abs/hep-th/0105030v2

Inf.Dim.Anal.Quant.Probab.Rel.Top. 6 (2003) 179-195

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figures, to be published in Infinite Dimensional Analysis, Quantum Probability and Related Topics

Scientific paper

Feynman's path integral in adelic quantum mechanics is considered. The
propagator K(x'',t'';x',t') 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.

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