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 Qp.
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Technion Israel Inst Technol, Dept Phys, Haifa, IsraelTechnion Israel Inst Technol, Dept Phys, Haifa, Israel
de Pirey, Thibaut Arnoulx
Cugliandolo, Leticia F.
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Sorbonne Univ, Lab Phys Theor & Hautes Energies, Paris, France
CNRS, UMR 7589, Paris, France
Inst Univ France, Paris, FranceTechnion Israel Inst Technol, Dept Phys, Haifa, Israel
Cugliandolo, Leticia F.
Lecomte, Vivien
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Univ Grenoble Alpes, Lab Interdisciplinaire Phys, St Martin Dheres, France
CNRS, UMR 5588, St Martin Dheres, FranceTechnion Israel Inst Technol, Dept Phys, Haifa, Israel
Lecomte, Vivien
van Wijland, Frederic
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Univ Paris Cite, Lab Matiere & Syst Complexes, Paris, France
CNRS, UMR 7057, Paris, FranceTechnion Israel Inst Technol, Dept Phys, Haifa, Israel