On quantum stability of orbits in a strong gravitational field of compact objects

Details On quantum stability of orbits in a strong gravitational field of compact objects On quantum stability of orbits in a strong gravitational field of compact objects

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988afz....29..397g&link_type=abstract

Astrofizika, vol.29, October 1988, no.2, pp. 397-404

Astronomy and Astrophysics

Astronomy

4

General Relativity, Schwarzschild Black Holes, Bound States, Marginaly Stable Orbit, Energy Levels, Dumping

Scientific paper

A quantum mechanical description for massive test particle bound orbits, close to the center of strong Schwarzschild gravitational field, is given. Energetical spectrum and time decay of respective quasilevels are computed by means of Klein-Gordon equation. A comparison of minimal time decay with orbit period shows that the marginally orbit, stable in the sense of quantum mechanics for massive compact objects of stellar origin and for all known elementary particles , nuclei and atoms. For mini-black holes of masses M< 10^(5-6)x(Mpl)^2/m, where Mpl- is the Planck mass and m-is the test body mass this orbit is unstable.

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