On the spectrum of relativistic Schroedinger equation in finite differences

Details On the spectrum of relativistic Schroedinger equation in finite differences On the spectrum of relativistic Schroedinger equation in finite differences

1999-02-10

arxiv.org/abs/gr-qc/9902028v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 1 figure

Scientific paper

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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