Title

Underdetermined systems of partial differential equations

Document Type

Article

Publication Date

9-1-2000

Department

Physics and Astronomy

Abstract

This paper examines underdetermined systems of partial differential equations in which the independent variables may be classical c-numbers or even quantum operators. One can view an underdetermined system as expressing the kinematic constraints on a set of dynamical variables that generate a Lie algebra. The arbitrariness in the general solution reflects the freedom to specify the dynamics of such a system. (C) 2000 American Institute of Physics. [S0022-2488(00)02009-0].

Publication Title

JOURNAL OF MATHEMATICAL PHYSICS

Volume

41

Issue

9

First Page

6388

Last Page

6398