ISSN:
1420-8989
Keywords:
35S99
;
47D25
;
47D45
;
47G30
;
83A05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The Dirac equation, as a 4×4-hyperbolic system on ℝ3, possesses an invariant algebra of global pseudodifferential operators-in the sense that conjugation with the Dirac time propagator leaves the algebra invariatn (cf. [CX]. Chapter 10). In this paper we examine the relation between the two invariant algebras att=0 and att'=0 when (t,x) and (t',x') are coordinates of Minkowsky space related by a (proper) Lorentz transform. For vanishing electromagnetic potentials these algebras are transforms of each other by the implied change of dependent and independent variables. In the general case such a space-time transform will make the potentials time dependent, hence also the algebra dependent on the initial plane.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01332489
Permalink
