TY - JOUR

T1 - The Dirac equation in an external electromagnetic field

T2 - Symmetry algebra and exact integration

AU - Breev, A. I.

AU - Shapovalov, Aleksandr Vasilievich

PY - 2016/1/25

Y1 - 2016/1/25

N2 - Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator.

AB - Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator.

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U2 - 10.1088/1742-6596/670/1/012015

DO - 10.1088/1742-6596/670/1/012015

M3 - Article

AN - SCOPUS:84962385236

VL - 670

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012015

ER -