Asymptotic behavior of the eigenvalues of many-particle Hamiltonians on subspaces of functions of a given symmetry

S. A. Vugal'ter


Abstract: For many-particle Hamiltonians with Coulomb interaction asymptotic expressions are obtained for eigenvalues corresponding to states with given orbital angular momentum $L$, spin, and parity in the limit $L\to\infty$. Asymptotic expressions are given for the eigenfunctions of the ground states for the given symmetry.

Received: 10.04.1989

 English version: Theoretical and Mathematical Physics, 1990, 83:2, 502–510

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