On the spectrum of relativistic Schroedinger equation in finite differences
classification
🌀 gr-qc
keywords
equationasymptoticrelativisticschroedingershellsolutionsspectrumanalysis
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We develop a method for constructing asymptotic solutions of finite-difference equations and implement it to a relativistic Schroedinger equation which describes motion of a selfgravitating spherically symmetric dust shell. Exact mass spectrum of black hole formed due to the collapse of the shell is determined from the analysis of asymptotic solutions of the equation.
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