2born (2born) wrote,
2born
2born

Движение частицы в поле диполя методом Гамильтона-Якоби

Incompleteness of the Hamilton-Jacobi theory: http://arxiv.org/abs/1310.2855

The problem of the motion of a charged particle in an electric dipole field is used to illustrate that the Hamilton-Jacobi method does not necessarily give all solutions to the equations of motion of a mechanical system. The mathematical reason for this phenomenon is discussed. In the particular case under consideration, it is shown how to circumvent the difficulty and find the missing solutions by means of a very special limiting procedure.

11 pages, submitted to the American Journal of Physics

Что-то странное, надо бы разобраться!
Tags: Мегаучебник или Что я читал и похвалил, наука, разгребая arXiv'ы
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