HAMILTONIAN EQUATIONS OF MOTION AS APPLIED TO CHARGED PARTICLE OPTICS

Автор: A. S. Berdnikov, S. V. Masyukevich, Yu. I. Khasin, M. I. Yavor

Журнал: Научное приборостроение @nauchnoe-priborostroenie

Рубрика: Математические методы и моделирование в приборостроении

Статья в выпуске: 2, 2024 года.

Бесплатный доступ

The article discusses the features of the Hamiltonian form of the dynamic equations as applied to problems of charged particles optics. Some non-obvious consequences arising from the Poincaré – Cartan integral invariant are analyzed. It is shown that Hamiltonian equations of motion can be used to describe the motion of charged particles in a local coordinate system accompanying the central trajectory, including the case where the length of the base trajectory is used as an independent variable.

Hamiltonian equations of motion, general problems of charged particle optics, aberration coefficients, symplectic relations, analytical dynamics

Короткий адрес: https://sciup.org/142240251

IDR: 142240251

Статья научная