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RESEARCH PRODUCT

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

Carlo Pagani

subject

PhysicsStatistical Mechanics (cond-mat.stat-mech)010308 nuclear & particles physicsDifferential formGeneral Physics and AstronomyFOS: Physical sciencesBBGKY hierarchy01 natural sciencesFormalism (philosophy of mathematics)Distribution function0103 physical sciencesPath integral formulation010306 general physicsCondensed Matter - Statistical MechanicsMathematical physics

description

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 revisiting some 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.

yearjournalcountryeditionlanguage
2017-05-19
https://dx.doi.org/10.48550/arxiv.1705.06964