The notion of integrability for time-dependent Hamiltonian systems: Illustration from the relativistic motion of a charged particle in an electromagnetic field

Dynamical Systems, Plasmas and Gravitation - Lecture Notes in Physics ◽

10.1007/bfb0105917 ◽

2008 ◽

pp. 104-116

Author(s):

Alain Bourdier ◽

Serge Bouquet

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

Hamiltonian Systems ◽

Time Dependent ◽

Relativistic Motion

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Notion of integrability for time-dependent Hamiltonian systems: Illustrations from the relativistic motion of a charged particle

Physical Review E ◽

10.1103/physreve.57.1273 ◽

1998 ◽

Vol 57 (2) ◽

pp. 1273-1283 ◽

Author(s):

S. Bouquet ◽

A. Bourdier

Keyword(s):

Charged Particle ◽

Hamiltonian Systems ◽

Time Dependent ◽

Relativistic Motion

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Generation of squeezing for a charged oscillator and for a charged particle in a time-dependent electromagnetic field

Physical Review A ◽

10.1103/physreva.46.5885 ◽

1992 ◽

Vol 46 (9) ◽

pp. 5885-5889 ◽

Author(s):

B. Baseia ◽

S. S. Mizrahi ◽

M. H. Y. Moussa

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

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Solving procedure for the dynamics of charged particle in variable (time-dependent) electromagnetic field

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-01298-5 ◽

2020 ◽

Vol 71 (3) ◽

Author(s):

Sergey Ershkov ◽

Dmytro Leshchenko

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

Time Dependent ◽

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Feynman’s propagator for a charged particle with time-dependent mass in a crossed time-varying electromagnetic field

Physical Review A ◽

10.1103/physreva.39.5897 ◽

1989 ◽

Vol 39 (11) ◽

pp. 5897-5902 ◽

Author(s):

Alvaro de Souza Dutra ◽

Bin Kang Cheng

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

Time Dependent ◽

Time Varying ◽

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Path Integral Approach to the Propagator for a Charged Particle in a Time-Dependent Electromagnetic Field

Communications in Theoretical Physics ◽

10.1088/0253-6102/22/2/135 ◽

1994 ◽

Vol 22 (2) ◽

pp. 135-138

Author(s):

Jing-bo XU ◽

Yu-jun ZHAO ◽

Xiao-chun GAO

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

Path Integral ◽

Time Dependent ◽

Integral Approach ◽

Path Integral Approach

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Coherent states of a charged particle in a time-dependent uniform electromagnetic field of a plane current

Physica ◽

10.1016/0031-8914(72)90082-1 ◽

1972 ◽

Vol 59 (2) ◽

pp. 241-256 ◽

Author(s):

V.V. Dodonov ◽

I.A. Malkin ◽

V.I. Man'ko

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

Coherent States ◽

Time Dependent ◽

Uniform Electromagnetic Field

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Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field

Physics of Plasmas ◽

10.1063/1.5012767 ◽

2018 ◽

Vol 25 (2) ◽

pp. 022117 ◽

Author(s):

Ruili Zhang ◽

Yulei Wang ◽

Yang He ◽

Jianyuan Xiao ◽

Jian Liu ◽

...

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

Generating Functions ◽

Particle Dynamics ◽

Time Dependent ◽

Relativistic Charged Particle

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An Exact Quantum Theory of the Time‐Dependent Harmonic Oscillator and of a Charged Particle in a Time‐Dependent Electromagnetic Field

Journal of Mathematical Physics ◽

10.1063/1.1664991 ◽

1969 ◽

Vol 10 (8) ◽

pp. 1458-1473 ◽

Cited By ~ 1236

Author(s):

H. R. Lewis ◽

W. B. Riesenfeld

Keyword(s):

Electromagnetic Field ◽

Quantum Theory ◽

Charged Particle ◽

Harmonic Oscillator ◽

Time Dependent ◽

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Propagator for a charged particle in a time-dependent electromagnetic field

Physics Letters A ◽

10.1016/0375-9601(84)90833-8 ◽

1984 ◽

Vol 100 (9) ◽

pp. 490-494 ◽

Author(s):

Bin Kang Cheng

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

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The relativistic motion of a charged particle in an inhomogeneous electromagnetic field

Annals of Physics ◽

10.1016/0003-4916(60)90004-x ◽

1960 ◽

Vol 10 (3) ◽

pp. 401-453 ◽

Author(s):

Peter O Vandervoort

Keyword(s):

Electromagnetic Field ◽

Charged Particle ◽

Relativistic Motion

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