Recovery of Dirac equations from their solutions

Citation
K. Just et al., Recovery of Dirac equations from their solutions, INT J THEOR, 40(1), 2001, pp. 219-227
Citations number
15
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
40
Issue
1
Year of publication
2001
Pages
219 - 227
Database
ISI
SICI code
0020-7748(200101)40:1<219:RODEFT>2.0.ZU;2-K
Abstract
We deal with quantum field theory in the restriction to external Bose field s. Let (i gamma (mu) partial derivative (mu) - B)psi = 0 be the Dirac equat ion. We prove that a nonquantized Bose field B is a functional of the Dirac field psi whenever this psi is canonical. Performing the verification for B := m = const, which yields the free Dirac field, we also prepare the tedi ous verifications for all B which are nonquantized and static. Such verific ations must not be confused, however, with the proof of our formula, which is shown in detail.