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arxiv: math-ph/0005020 · v1 · submitted 2000-05-16 · 🧮 math-ph · hep-th· math.MP· quant-ph

On p-adic path integral

classification 🧮 math-ph hep-thmath.MPquant-ph
keywords integralp-adicpathmechanicsquantumanalyticallyevaluatedfeynman
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Feynman's path integral is generalized to quantum mechanics on p-adic space and time. Such p-adic path integral is analytically evaluated for quadratic Lagrangians. Obtained result has the same form as that one in ordinary quantum mechanics.

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