منابع مشابه
Kepler map
We present a consecutive derivation of mapping equations of motion for the one-dimensional classical hydrogenic atom in a monochromatic field of any frequency. We analyze this map in the case of high and low relative frequency of the field and transition from regular to chaotic behavior. We show that the map at aphelion is suitable for investigation of transition to chaotic behavior also in the...
متن کاملKepler Problem and SO(4) Momentum Map
A complete solution of the Kepler problem is given; the SO(4) action on (TS,Ω4) is discussed; and the incomplete Kepler hamiltonian vector field is regularized by the LS map, embedding it into (TS, ω̃4). [2] did excellent work on these topics. I read through them and write this report. O Introduction Kepler problem is a famous and classical problem in both mathematics and physics. Since Kepler, ...
متن کاملKepler Map for H atom driven by microwaves with arbitrary polarization Prot Pakoński Jakub
Dynamics of hydrogen atom driven by microwave field of arbitrary polarization is approximated by the discrete mapping. The map describes the change of dynamical variables from an aphelion or a perihelion to the next one. The results are compared with numerical simulation and previous approximations.
متن کاملKepler Map for H Atom Driven by Microwaves with Arbitrary Polarization
The microwave ionization of Rydberg atoms, a standard topic in the discussion of the classical–quantum correspondence in classically chaotic systems [1, 2, 3, 4], brings still to us new challenges and surprises. The development of experimental techniques allows one now to vary experimentally the microwave polarization [5, 6]. That in turn enables an efficient control of the dynamics and is a ch...
متن کاملGeneralized Kepler Problems
A generalization of the Kepler problem, one that encompasses all previously known generalizations in the last six decades, is given here. Introduction. The Kepler problem, owing to its significant role in the major developments of physics in the last three centuries, is probably the most wellknown scientific problem in the western civilization. It has been known for quite a while that the Keple...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2018
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.33238