Adelic Path Integrals for Quadratic Lagrangians
classification
✦ hep-th
math-phmath.MPquant-ph
keywords
adeliclagrangianspathquadraticanalyticallyconsideredevaluatedexact
read the original abstract
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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