Separating the variables in a massless Dirac equation in Minkowski space
Exact integration of the Dirac equation is a classical topic in mathematical physics, which has been researched for several decades. A basic method is complete segregation of the variables. Such separation can be attained in a Dirac equation containing an external electromagnetic field in Minkowski space by means of complete sets of first-order symmetry matrix operators. The purpose of this paper is to solve an analogous case for a free massless Dirac equation. That task has a special feature because external fields are absent and the massless equation is reduced to a D`Alambert equation by squaring. Nevertheless, interest attaches to states defined by the first-order symmetry-operator matrices that cannot be obtained by setting the mass to zero in systems containing a mass Dirac equation.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 136403
- Journal Information:
- Russian Physics Journal, Journal Name: Russian Physics Journal Journal Issue: 1 Vol. 38; ISSN RPJOEB; ISSN 1064-8887
- Country of Publication:
- United States
- Language:
- English
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