2,136 research outputs found
The energy level structure of a variety of one-dimensional confining potentials and the effects of a local singular perturbation
Motivated by current interest in quantum confinement potentials, especially
with respect to the Stark spectroscopy of new types of quantum wells, we
examine several novel one-dimensional singular oscillators. A Green function
method is applied, the construction of the necessary resolvents is reviewed and
several new ones are introduced. In addition, previous work on the singular
harmonic oscillator model, introduced by Avakian et al. is reproduced to verify
the method and results. A novel features is the determination of the spectra of
asymmetric hybrid linear and quadratic potentials. As in previous work, the
singular perturbations are modeled by delta functions.Comment: 14 pages, 10 figure
- …