Addenda and corrections to work done on the path-integral approach to classical mechanics

E. Gozzi and M. Regini
Phys. Rev. D 62, 067702 – Published 23 August 2000
PDFExport Citation

Abstract

We continue the study of the path-integral approach to classical mechanics and in particular we correct and better clarify, with respect to previous papers, the geometrical meaning of the variables entering this formulation. We show that the space spanned by the whole set of variables (φ,c,λ,c¯) of our path integral is the cotangent bundle to the reversed-parity tangent bundle of the phase space M of our system and it is indicated as T(ΠTM). We also show that it is possible to build a different path integral made only of bosonic variables. These turn out to be the coordinates of T(TM) which is the double cotangent bundle to phase space.

  • Received 17 March 1999

DOI:https://doi.org/10.1103/PhysRevD.62.067702

©2000 American Physical Society

Authors & Affiliations

E. Gozzi and M. Regini

  • Dipartimento di Fisica Teorica, Università di Trieste, Strada Costiera 11, P.O. Box 586, Trieste, Italy

References (Subscription Required)

Click to Expand
Issue

Vol. 62, Iss. 6 — 15 September 2000

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×