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Author Berezin, Victor
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Quantum Black Hole Model ♦ Ground State Wave Function ♦ I.i Ntroduction ♦ Discrete Spectrum ♦ Schroedinger-type Equation ♦ Information Paradox ♦ Black Hole Physic ♦ Low Temperature ♦ Obtained Black Hole Mass Spectrum ♦ Bound State Energy Level ♦ Black Hole Model ♦ Infinite Degeneracy ♦ Extreme Reissner-nordstrom Black Hole ♦ General Solution ♦ Finite Difference Equation ♦ Quantum Black Hole State
Abstract . The black hole model with a self-gravitating charged spherical symmetric dust thin shell as a source is considered. The Schroedinger-type equation for such a model is derived. This equation appeared to be a finite differences equation. A theory of such an equation is developed and general solution is found and investigated in details. The discrete spectrum of the bound state energy levels is obtained. All the eigenvalues appeared to be infinitely degenerate. The ground state wave functions are evaluated explicitly. The quantum black hole states are selected and investigated. It is shown that the obtained black hole mass spectrum is compatible with the existence of Hawking's radiation in the limit of low temperatures both for large and nearly extreme Reissner-Nordstrom black holes. The above mentioned infinite degeneracy of the mass (energy) eigenvalues may appeared helpful in resolving the well known information paradox in the black hole physics. 1 I.Introduction. The fate of bla...
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study