Estimates of the eigenvalues of the Schrödinger equation for a system of interacting particles. I

O. Ya. Savchenko


Abstract: Two-sided variational estimates are obtained for some eigenvalues of a system of particles bound by a monotonic potential $-|\mathbf r_i-\mathbf r_j |^{-1}$. The relative error in the determination of the smallest eigenvalue of the antisymmetric state of this system is reduced to $\pm0{,}16$.

Received: 22.12.1976
Revised: 14.11.1977

 English version: Theoretical and Mathematical Physics, 1978, 35:3, 530–534