Local existance for the Maxwell-DIRAC equations in three space dimensions
Journal Article
·
· Communications in Partial Differential Equations
In this paper we study the initial value problem for the Maxwell-Dirac equations in 3+1-dimensional Minkowski spacetime. The linear Dirac equation is the Euler-Lagrange equation corresponding to the Lagrangian. Here {psi} and {psi} are formally regarded as being independent fields. If we vary {psi} we get the Dirac equation for {psi}. By varying {psi} we get the conjugate Dirac equation for {psi}. We have used the following notation: {psi} denotes a 4-spinor field defined on R{sup 3+1}. It is represented as a column vector with 4 components. {psi} denotes the complex conjugate transpose of {psi}; it is a row vector with 4 components. 14 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 437116
- Journal Information:
- Communications in Partial Differential Equations, Journal Name: Communications in Partial Differential Equations Journal Issue: 5-6 Vol. 21; ISSN 0360-5302; ISSN CPDIDZ
- Country of Publication:
- United States
- Language:
- English
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