skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Rapidly converging bounds for the ground-state energy of hydrogenic atoms in superstrong magnetic fields

Abstract

The calculation of rapidly converging lower and upper bounds to the ground-state energy, E/sub g/, of hydrogenic atoms in superstrong magnetic fields (Bapprox. >10/sup 9/ G) has been an important theoretical problem for the past twenty-five years. Much effort has gone into reconciling the many different estimates for E/sub g/ predicted by an assortment of techniques. On the basis of recently developed eigenvalue moment methods, a precise solution involving rapidly converging bounds to E/sub g/, for arbitrary superstrong magnetic field strengths, is now possible.

Authors:
; ; ;
Publication Date:
Research Org.:
Department of Physics, Atlanta University, Atlanta, Georgia 30314
OSTI Identifier:
5513460
Resource Type:
Journal Article
Journal Name:
Phys. Rev. Lett.; (United States)
Additional Journal Information:
Journal Volume: 60:4
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; HYDROGEN; GROUND STATES; MAGNETIC FIELDS; ATOMS; EIGENVALUES; ENERGY LEVELS; LIMITING VALUES; MATHEMATICAL MODELS; THEORETICAL DATA; DATA; ELEMENTS; INFORMATION; NONMETALS; NUMERICAL DATA; 640302* - Atomic, Molecular & Chemical Physics- Atomic & Molecular Properties & Theory

Citation Formats

Handy, C R, Bessis, D, Sigismondi, G, and Morley, T D. Rapidly converging bounds for the ground-state energy of hydrogenic atoms in superstrong magnetic fields. United States: N. p., 1988. Web. doi:10.1103/PhysRevLett.60.253.
Handy, C R, Bessis, D, Sigismondi, G, & Morley, T D. Rapidly converging bounds for the ground-state energy of hydrogenic atoms in superstrong magnetic fields. United States. https://doi.org/10.1103/PhysRevLett.60.253
Handy, C R, Bessis, D, Sigismondi, G, and Morley, T D. 1988. "Rapidly converging bounds for the ground-state energy of hydrogenic atoms in superstrong magnetic fields". United States. https://doi.org/10.1103/PhysRevLett.60.253.
@article{osti_5513460,
title = {Rapidly converging bounds for the ground-state energy of hydrogenic atoms in superstrong magnetic fields},
author = {Handy, C R and Bessis, D and Sigismondi, G and Morley, T D},
abstractNote = {The calculation of rapidly converging lower and upper bounds to the ground-state energy, E/sub g/, of hydrogenic atoms in superstrong magnetic fields (Bapprox. >10/sup 9/ G) has been an important theoretical problem for the past twenty-five years. Much effort has gone into reconciling the many different estimates for E/sub g/ predicted by an assortment of techniques. On the basis of recently developed eigenvalue moment methods, a precise solution involving rapidly converging bounds to E/sub g/, for arbitrary superstrong magnetic field strengths, is now possible.},
doi = {10.1103/PhysRevLett.60.253},
url = {https://www.osti.gov/biblio/5513460}, journal = {Phys. Rev. Lett.; (United States)},
number = ,
volume = 60:4,
place = {United States},
year = {Mon Jan 25 00:00:00 EST 1988},
month = {Mon Jan 25 00:00:00 EST 1988}
}