On the spectrum of relativistic Schroedinger equation in finite differences
arXiv:gr-qc/9902028
Abstract
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.
16 pages, 1 figure