Papers of Interest
Schrodinger-Newton Equations
Moroz, I.M., Penrose, R., Tod, P., "Spherically-symmetric
solutions of the Schrodinger-Newton equations" Class.
Quantum Grav. 15
(1998) 2733–2742.
Moroz, I.M., Tod, P., "An analytical approach to the Schrodinger-Newton
equations" Nonlinearity
12 (1999) 201–216.
Numerical investigation of the linear stability of the
spherically-symmetric stationary solutions to the Schrodinger-Newton
Equations:
Harrison, R., Moroz, I., Tod, P., "A
numerical study of the Schrodinger-Newton equation 1: Perturbing the
spherically-symmetric stationary states"
arXiv:math-ph/0208045v1
Harrison, R., Moroz, I., Tod, P., "A numerical study of the
Schrodinger-Newton equation 2: The time dependent problem"
arXiv:math-ph/0208046v1
Schrodinger-Poisson Equations
Schrodinger-Poisson
Reviews
Lange, H., Toomire, B., Zweifel, P. F., "An overview of
Schrodinger-Poisson Problems" Reports
on Mathematical Physics, Volume 36, Issues 2-3