Eigenstates of the Gravitational SCHRÖDINGER Equation
Abstract
We develop a new algorithm to compute the eigenvalues and eigenfunctions of the gravitational Schrödinger equation. The nonlinear two-point boundary problem is solved by an inner-outer iteration and the resulting method is fast, readily parallelizable, and, unlike shooting methods, is able to compute eigenfunctions with a very large number (>50) of nodes. The theory and implementation of the method are discussed and it is applied to compute the s-wave spectrum of a gravitational Bose-Einstein condensate.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- 1998
- DOI:
- 10.1142/S0217732398002473
- Bibcode:
- 1998MPLA...13.2327B