- 95-399 Blanchard, Ph., Stubbe, J.
- Bound States for Schr\"odinger Hamiltonians:
Phase Space Methods and Applications
Aug 31, 95
(auto. generated ps),
of related papers
Abstract. Properties of bound states for Schr\"odinger operators are reviewed. These
include: bounds on the number of bound states and on the moments of the
energy levels, existence and nonexistence of bound states, phase space bounds
and semi-classical results, the special case of central potentials, and
applications of these bounds in quantum mechanics of many particle systems
and dynamical systems. For the phase space bounds relevant to these
applications we improve the explicit constants.