Электронный каталог

Статья

Silenko, A.J.
Leading Correction to the Relativistic Foldy-Wouthuysen Hamiltonian / A.J.Silenko. – Text : electronic // Physical Review A. – 2025. – Vol. 111, No. 3. – P. 032210. – URL: https://doi.org/10.1103/PhysRevA.111.032210.

For Dirac particles interacting with external fields, we use the exact operator of the Foldy-Wouthuysen transformation obtained by Eriksen and rigorously derive a leading correction in the weak-field approximation to the known relativistic Foldy-Wouthuysen Hamiltonian. For this purpose, we carry out the operator extraction of a square root in the Eriksen operator. The derived correction is important for the scattering of relativistic particles. Since the description of this scattering by a relativistic wave equation of the second order is more convenient, we determine a general connection between relativistic wave equations of the first and second orders. For Dirac particles, the relativistic wave equation of the second order is obtained with a correction similar to that of the Foldy-Wouthuysen Hamiltonian.



ОИЯИ = ОИЯИ (JINR)2025
Спец.(статьи,препринты) = С 324.1 - Вторично- квантованные локальные теории взаимодействующих полей$
Бюллетени = 15/025