Breaking of dynamical symmetries and phase shift

V. A. Andreev


Abstract: Notion of the broken dynamical symmetry is introduced with the aid of constructing operators which generalize the Runge–Lentz vector for the hydrogen atom. Connection between commutators of these operators with the Hamiltonian and phase shifts is established. The cases when the symmetry is defined on discrete and continuous spectrum are considered separately.

Received: 03.06.1974

 English version: Theoretical and Mathematical Physics, 1975, 22:2, 157–162