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Zastawniak, Tomasz
The nonexistence of the path-space measure for the Dirac equation in four space-time dimensions. (English) Zbl 0689.70010
J. Math. Phys. 30, No. 6, 1354-1358 (1989).
Summary: It is proved that the path-space measure for the Dirac equation in four space-time dimensions does not exist. The origin of the nonexistence of the measure turns out to be the dependence of the solution on the first derivative of the initial condition.

Cited in 5 Documents
MSC:
70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
83A05 Special relativity
Keywords:
free relativistic particle in two space-time dimensions; Markovian stochastic process; path-space measure; Dirac equation; four space-time dimensions; first derivative of the initial condition
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\textit{T. Zastawniak}, J. Math. Phys. 30, No. 6, 1354--1358 (1989; Zbl 0689.70010)
Full Text: DOI
References:
[1] DOI: 10.1063/1.528162 · Zbl 0665.35069 · doi:10.1063/1.528162
[2] DOI: 10.1063/1.528162 · Zbl 0665.35069 · doi:10.1063/1.528162
[3] DOI: 10.1063/1.528162 · Zbl 0665.35069 · doi:10.1063/1.528162
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[6] DOI: 10.1063/1.528162 · Zbl 0665.35069 · doi:10.1063/1.528162
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