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Note on the super-extended Moyal formalism and its BBGKY hierarchy

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Abstract We consider the path integral associated to the Moyal formalism for quantum mechanics extended to contain higher differential forms by means of Grassmann odd fields. After revisitingsome properties of… Click to show full abstract

Abstract We consider the path integral associated to the Moyal formalism for quantum mechanics extended to contain higher differential forms by means of Grassmann odd fields. After revisitingsome properties of the functional integral associated to the (super-extended) Moyal formalism, we give a convenient functional derivation of the BBGKY hierarchy in this framework. In this case the distribution functions depend also on the Grassmann odd fields.

Keywords: super extended; bbgky hierarchy; formalism; moyal formalism; extended moyal

Journal Title: Annals of Physics
Year Published: 2017

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