2017/07/17 by Graham Cox, Cox, Graham, Mark Levi +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #Experimental and Theoretical Physics Studies #FOS: Mathematics #FOS: Physical sciences #Magnetic and Electromagnetic Effects #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #math-ph #math.CA #math.DS #math.MP
paper · pdf · doi:10.48550/arxiv.1707.04970
15 pages, 6 figures
openalex publication_date 2017/07/17 · arxiv created 2020/02/24 · arxiv updated 2020/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper describes a curious phenomenon: a particle in a rapidly varying potential is subject to an effective magnetic-like force. This force is in addition to the well-known ponderomotive force, but it has not been shown to exist before except for the linear case of a rapidly rotating quadratic saddle potential. We show that this is a universal phenomenon: the magnetic-like force arises generically in potential force fields with rapid periodic time dependence, including but not limited to rotational dependence.