Singularities of electron kernel functions in an external electromagnetic field
1954 ◽
Vol 222
(1148)
◽
pp. 93-108
◽
Keyword(s):
The electron kernel functions are derived from solutions of the second-order wave equation, using the proper-time parametrization. Iterated kernel functions are introduced and a gauge-independent perturbation theory is developed. The separation of singular parts proceeds in terms of the iterated kernel functions valid in the absence of an electromagnetic field, and the singular expressions which have to be compensated in order to determine the physically significant part of the vacuum polarization are obtained in a more transparent form than those given originally by Heisenberg.
2014 ◽
Vol 56
(5)
◽
pp. 1218-1228
◽
A stochastic collocation method for the second order wave equation with a discontinuous random speed
2012 ◽
Vol 123
(3)
◽
pp. 493-536
◽
2007 ◽
Vol 28
(11)
◽
pp. 1455-1465
◽
Keyword(s):
2014 ◽
Vol 272
◽
pp. 88-107
◽
2021 ◽
Vol 55
◽
pp. 47-65
2010 ◽
Vol 127
(3)
◽
pp. 1318-1327
◽
1999 ◽
Vol 173
(1-2)
◽
pp. 147-166
◽
Keyword(s):