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

Journal Article · Sun Oct 15 00:00:00 EDT 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.08.028· OSTI ID:22701548

Pagani, Carlo

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.

• OSTI ID: 22701548
• Journal Information: Annals of Physics, Vol. 385; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BBGKY EQUATION
DISTRIBUTION FUNCTIONS
PATH INTEGRALS
QUANTUM MECHANICS