An effective lower bound to eigenvalues

M. Cohen; T. Feldmann; R. P. McEachran

doi:10.1088/0022-3700/15/5/009

An effective lower bound to eigenvalues

M. Cohen^*
, T. Feldmann
, R. P. McEachran

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The authors propose an effective (but non-rigorous) formula for lower bounds to eigenvalues of a Hermitian operator. The procedure is similar to that of Temple, but obviates the need for a priori knowledge of the spectrum. It yields very accurate results for two-electron atoms and ions.

Original language	English
Article number	009
Pages (from-to)	677-682
Number of pages	6
Journal	Journal of Physics B: Atomic and Molecular Physics
Volume	15
Issue number	5
DOIs	https://doi.org/10.1088/0022-3700/15/5/009
State	Published - 1982

Access to Document

10.1088/0022-3700/15/5/009

Cite this

@article{beeb9cc16ab54baea3e82cf1dbba9991,

title = "An effective lower bound to eigenvalues",

abstract = "The authors propose an effective (but non-rigorous) formula for lower bounds to eigenvalues of a Hermitian operator. The procedure is similar to that of Temple, but obviates the need for a priori knowledge of the spectrum. It yields very accurate results for two-electron atoms and ions.",

author = "M. Cohen and T. Feldmann and McEachran, \{R. P.\}",

year = "1982",

doi = "10.1088/0022-3700/15/5/009",

language = "אנגלית",

volume = "15",

pages = "677--682",

journal = "Journal of Physics B: Atomic and Molecular Physics",

issn = "0022-3700",

publisher = "Institute of Physics",

number = "5",

}

TY - JOUR

T1 - An effective lower bound to eigenvalues

AU - Cohen, M.

AU - Feldmann, T.

AU - McEachran, R. P.

PY - 1982

Y1 - 1982

N2 - The authors propose an effective (but non-rigorous) formula for lower bounds to eigenvalues of a Hermitian operator. The procedure is similar to that of Temple, but obviates the need for a priori knowledge of the spectrum. It yields very accurate results for two-electron atoms and ions.

AB - The authors propose an effective (but non-rigorous) formula for lower bounds to eigenvalues of a Hermitian operator. The procedure is similar to that of Temple, but obviates the need for a priori knowledge of the spectrum. It yields very accurate results for two-electron atoms and ions.

UR - https://www.scopus.com/pages/publications/36149043852

U2 - 10.1088/0022-3700/15/5/009

DO - 10.1088/0022-3700/15/5/009

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:36149043852

SN - 0022-3700

VL - 15

SP - 677

EP - 682

JO - Journal of Physics B: Atomic and Molecular Physics

JF - Journal of Physics B: Atomic and Molecular Physics

IS - 5

M1 - 009

ER -

An effective lower bound to eigenvalues

Abstract

Access to Document

Other files and links

Fingerprint

Cite this