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arxiv: 1307.4233 · v1 · pith:M6CAM2MPnew · submitted 2013-07-16 · 🧮 math-ph · math.FA· math.MP· math.PR· quant-ph

Hamiltonian Path Integrals In Momentum Space Representation via White Noise Techniques

classification 🧮 math-ph math.FAmath.MPmath.PRquant-ph
keywords momentumfeynmanintegralsnoiserepresentationspacewhiteanalysis
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The concepts of Feynman integrals in white noise analysis are used to construct the Feynman integrand for the harmonic oscillator in momentum space representation as a Hida distribution. Moreover it is shown that in a limit sense, the potential free case fulfills the conservation of momentum.

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