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Author Archives: A. Caceres

1 Jan 2005

Minimax determination of the energy spectrum of the Dirac equation in a Schwarzschild background

by A. Caceres | posted in: Journal Paper | 0

We calculate the bound-state energy spectrum of the Dirac Equation in a Schwarzschild black hole background using a minimax variational method. Our method extends that of Talman to the case of non-Hermitian interactions, such as a black hole. The trial … Continued

1 Jan 2005

Bound states and decay times of fermions in a Schwarzschild black hole background

by A. Caceres | posted in: Journal Paper | 0

We compute the spectrum of normalizable fermion bound states in a Schwarzschild black hole background. The eigenstates have complex energies. The real part of the energies, for small couplings, closely follow a hydrogen-like spectrum. The imaginary parts give decay times … Continued

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