A simple extension of a method by Calogero and Marchioro for constructing lower bound problems for ground states of systems of indistinguishable particles is applied to atomic systems. Their method is extended to yield an improved lower bound problem, which raises the ground-state estimate and yield
Lower bounds to bound state energies in bent tubes
β Scribed by Mark S. Ashbaugh; Pavel Exner
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 229 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
## Ep= where m is the reciprocal of the least upper bound to the eigenvalue of the &density matrix. The sequence of ED are given under specified conditions. Lower bounds of different order to the exact eigenvalue of the beryllmm atom are computed. The N-l order lower bound is -14.6911 au as compar
We study bound and scattering states of the SchrΓΆdinger equation in bent and twisted tubes of constant normal cross section threaded by whiskers of magnetic flux. ("1993 Academic Press. Inc.
Lower-bound estimates for the ground-state energy of the helium atom are determined using nonlinear programming techniques. Optimized lower bounds are determined for single-particle, radially correlated, and general correlated wave functions. The local nature of the method employed makes it a very s