Variational principle for critical parameters of quantum systems

A. V. Sergeev, S. Kais

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The variational principle for eigenvalue problems with a nonidentity weight operator is used to establish upper or lower bounds on critical parameters of quantum systems. Three problems from atomic physics are considered as examples. Critical screening parameters for the exponentially screened Coulomb potential are found using a trial function with one nonlinear variational parameter. The critical charge for the helium isoelectronic series is found using a Hylleraas-type trial function. Finally, critical charges for the same system subjected to a magnetic field are found using a product of two hydrogen-like basis sets.

Original languageEnglish
Pages (from-to)6891-6896
Number of pages6
JournalJournal of Physics A: Mathematical and General
Volume32
Issue number39
DOIs
Publication statusPublished - 1 Oct 1999
Externally publishedYes

Fingerprint

variational principles
Variational Principle
Quantum Systems
Atomic physics
Charge
Helium
Screening
Coulomb Potential
atomic physics
Coulomb potential
Magnetic fields
Hydrogen
Eigenvalue Problem
eigenvalues
screening
Magnetic Field
helium
Physics
Lower bound
Upper bound

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Variational principle for critical parameters of quantum systems. / Sergeev, A. V.; Kais, S.

In: Journal of Physics A: Mathematical and General, Vol. 32, No. 39, 01.10.1999, p. 6891-6896.

Research output: Contribution to journalArticle

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