✦ LIBER ✦

Lower bounds to the exact energy

✍ Scribed by Tiong Koon Lim

Publisher: Elsevier Science
Year: 1969
Tongue: English
Weight: 335 KB
Volume: 4
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(69)85013-x

No coin nor oath required. For personal study only.

✦ Synopsis

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 compared to the esperimentat value of -14.668 au.

📜 SIMILAR VOLUMES

Lower bound problems and bounds to atomi

Lower bound problems and bounds to atomic ionization energies

✍ M. G. Marmorino; J. C. Schug; C. A. Beattie 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 151 KB

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 static polarizabilities

✍ Donald R. Beck; Cleanthes A. Nicolaides 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 315 KB

We supgest that the oscillator strength formula for polarizabilities together with only a fe\v acctttnte values for oscillator strengths can yield very good lower bounds for a number of ground and excited stittes. Better lower bounds are obtained for states in Li, Be and CHI for which the Weinhold f

Lower and upper bounds to energies of ra

Lower and upper bounds to energies of radial lithium

✍ D.W. Fox; V.G. Sigillito 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 358 KB

Lower bounds for the energy levels of th

Lower bounds for the energy levels of the lithium atom

✍ Charles E. Reid 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 310 KB

An exact lower bound on the number of cu

An exact lower bound on the number of cut-sets in multigraphs

✍ Hideaki Harada; Zheng Sun; Hiroshi Nagamochi 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 903 KB

A nonlinear programming approach to lowe

A nonlinear programming approach to lower bounds for the ground-state energy of helium

✍ I. Porras; D. Matthew Feldmann; Frederick W. King 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 170 KB 👁 3 views

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