Editors’ Summary of the Special Issue dedicated to the 5th International Conference on Matrix Analysis and Applications
This is a readable review of recent work on non-Hermitian bound state problems with complex potentials. A particular example is the generalization of the harmonic oscillator with the potentials: Other examples include complex generalizations of the Morse potential, the spiked radial harmonic potential, the Kratzer-Coulomb potential, the Rosen Morse oscillator and others. Instead of demanding Hermiticity the condition required is where changes the parity and transforms to .
Summary: We prove a characterization of the immersions in the context of infinite dimensional manifolds with corners, we prove that a Hausdorff paracompact -manifold whose charts are modelled over real Banach spaces which fulfil the Urysohn -condition can be embedded in a real Banach space, , by means of a closed embedding, , such that, locally, its image is a totally neat submanifold of a quadrant of a closed vector subspace of and finally we prove that a Hausdorff paracompact topological...