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Quantum and classical dissipation of charged particles
A Hamiltonian approach is presented to study the two dimensional motion of damped electric charges in time dependent electromagnetic fields. The classical and the corresponding quantum mechanical problems are solved for particular cases using canonical transformations applied to Hamiltonians for a p...
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| Published in: | Annals of physics 2013-08, Vol.335, p.86-107 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c419t-ebaa42fce944f0a49503d701b90f60ef68f84dc2f7a4c74187e0ec95e8fd66523 |
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| cites | cdi_FETCH-LOGICAL-c419t-ebaa42fce944f0a49503d701b90f60ef68f84dc2f7a4c74187e0ec95e8fd66523 |
| container_end_page | 107 |
| container_issue | |
| container_start_page | 86 |
| container_title | Annals of physics |
| container_volume | 335 |
| creator | Ibarra-Sierra, V.G. Anzaldo-Meneses, A. Cardoso, J.L. Hernández-Saldaña, H. Kunold, A. Roa-Neri, J.A.E. |
| description | A Hamiltonian approach is presented to study the two dimensional motion of damped electric charges in time dependent electromagnetic fields. The classical and the corresponding quantum mechanical problems are solved for particular cases using canonical transformations applied to Hamiltonians for a particle with variable mass. Green’s function is constructed and, from it, the motion of a Gaussian wave packet is studied in detail.
•Hamiltonian of a damped charged particle in time dependent electromagnetic fields.•Exact Green’s function of a charged particle in time dependent electromagnetic fields.•Time evolution of a Gaussian wave packet of a damped charged particle.•Classical and quantum dynamics of a damped electric charge. |
| doi_str_mv | 10.1016/j.aop.2013.04.013 |
| format | article |
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The classical and the corresponding quantum mechanical problems are solved for particular cases using canonical transformations applied to Hamiltonians for a particle with variable mass. Green’s function is constructed and, from it, the motion of a Gaussian wave packet is studied in detail.
•Hamiltonian of a damped charged particle in time dependent electromagnetic fields.•Exact Green’s function of a charged particle in time dependent electromagnetic fields.•Time evolution of a Gaussian wave packet of a damped charged particle.•Classical and quantum dynamics of a damped electric charge.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.aop.2013.04.013</doi><tpages>22</tpages></addata></record> |
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| ispartof | Annals of physics, 2013-08, Vol.335, p.86-107 |
| issn | 0003-4916 1096-035X |
| language | eng |
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| source | ScienceDirect Freedom Collection |
| subjects | CANONICAL TRANSFORMATIONS CHARGED PARTICLES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Construction Dissipation ELECTRIC CHARGES ELECTROMAGNETIC FIELDS Energy dissipation EVOLUTION Exact result Gaussian GREEN FUNCTION HAMILTONIANS MASS Normal distribution PARTICLES Particles (of physics) Quantum dissipation QUANTUM MECHANICS Quantum physics TIME DEPENDENCE Transformations WAVE PACKETS |
| title | Quantum and classical dissipation of charged particles |
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