Fundamental solutions of the equations of quantum mechanics as distributions and distinctive properties of the Dirac equation solutions

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. © Springer Science+Business Media, Inc. 2007.

Authors
Beilinson A.A. 1
Journal
Theoretical and Mathematical Physics
Number of issue
2
Language
English
Pages
681-692
Status
Published
Link
External link
DOI
10.1007/s11232-007-0053-9
Volume
151
Year
2007
Organizations
  • 1 Peoples' Friendship University of Russia, Moscow, Russian Federation
Keywords
Absolute additivity of measures; Causal Green's function; Denumerable additivity of measures; Euclidean Dirac measure; Induced measure; Wiener measure
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3238/
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