A Path Integral Formalism of Collective Motion
- 1 January 1981
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 65 (1) , 224-240
- https://doi.org/10.1143/ptp.65.224
Abstract
A quantum mechanical formalism of collective motion is proposed by using the idea of path integral method. Time evolution of many-body system is described by the propagator which joins the many-body state vectors parametrized by complex collective parameters. A general form of path integral representation for the propagator is derived in the complex parameter space. In particular the case of the coherent state representation is discussed in detail. It is pointed out that the time-dependent variation principle and especially the time dependent Hartree-Fock are naturally obtained as a classical limit.Keywords
This publication has 1 reference indexed in Scilit:
- On a Hilbert space of analytic functions and an associated integral transform part ICommunications on Pure and Applied Mathematics, 1961