Geodesic
Fundamental solutions of the~equations of quantum mechanics as distributions and distinctive properties of the~Dirac equation solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 2, pp. 287-301

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We show that the causal Green's functions for interacting particles in external fields in both relativistic quantum mechanics (for the Dirac electron) and nonrelativistic quantum mechanics can be obtained as distributions if the free-particle Green's functions are used and equations for the corresponding test functions are chosen. We study quantum properties of solutions of the Dirac equations.
Keywords: causal Green's function, Wiener measure, Euclidean Dirac measure, denumerable additivity of measures, absolute additivity of measures, induced measure. 
@article{TMF_2007_151_2_a7,
     author = {A. A. Beilinson},
     title = {Fundamental solutions of the~equations of quantum mechanics as distributions and distinctive properties of {the~Dirac} equation solutions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {287--301},
     publisher = {mathdoc},
     volume = {151},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_2_a7/}
}
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A. A. Beilinson. Fundamental solutions of the~equations of quantum mechanics as distributions and distinctive properties of the~Dirac equation solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 2, pp. 287-301. http://geodesic.mathdoc.fr/item/TMF_2007_151_2_a7/