Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..54..467e&link_type=abstract
Astrophysics and Space Science, vol. 54, no. 2, Apr. 1978, p. 467-478.
Astronomy and Astrophysics
Astrophysics
2
Density Wave Model, Galactic Rotation, Spiral Galaxies, Charged Particles, Doppler Effect, Equations Of Motion, Landau Factor, Magnetic Fields, Resonance Scattering, Scalars, Systems Stability, Vlasov Equations
Scientific paper
The effect of the differential rotation on the statistical behavior of a dynamical system has been studied in the presence of a scalar field. The existence of neutrally stable regimes in a disk-like system has been shown which formally correspond to the Landau levels of a charged particle whose motion is quantized in a magnetic field. The existence also of the so-called anomalous Doppler effect has been pointed out, and a modified form is given to include the differential rotation. Finally, quantitative results are given concerning the instability of the system.
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