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Title: Properties of definite Bethe–Salpeter eigenvalue problems

Abstract

The Bethe-Salpeter eigenvalue problem is solved in condensed matter physics to estimate the absorption spectrum of solids. It is a structured eigenvalue problem. Its special structure appears in other approaches for studying electron excitation in molecules or solids also. When the Bethe-Salpeter Hamiltonian matrix is definite, the corresponding eigenvalue problem can be reduced to a symmetric eigenvalue problem. However, its special structure leads to a number of interesting spectral properties. We describe these properties that are crucial for developing efficient and reliable numerical algorithms for solving this class of problems.

Authors:
;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1439213
DOE Contract Number:  
AC02-05CH11231
Resource Type:
Conference
Resource Relation:
Conference: International Workshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing. EPASA 2015, Tsukuba (Japan), Sep 2015; Related Information: Part of the Lecture Notes in Computational Science and Engineering Series, 2017
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Shao, Meiyue, and Yang, Chao. Properties of definite Bethe–Salpeter eigenvalue problems. United States: N. p., 2017. Web. doi:10.1007/978-3-319-62426-6_7.
Shao, Meiyue, & Yang, Chao. Properties of definite Bethe–Salpeter eigenvalue problems. United States. doi:10.1007/978-3-319-62426-6_7.
Shao, Meiyue, and Yang, Chao. Sun . "Properties of definite Bethe–Salpeter eigenvalue problems". United States. doi:10.1007/978-3-319-62426-6_7. https://www.osti.gov/servlets/purl/1439213.
@article{osti_1439213,
title = {Properties of definite Bethe–Salpeter eigenvalue problems},
author = {Shao, Meiyue and Yang, Chao},
abstractNote = {The Bethe-Salpeter eigenvalue problem is solved in condensed matter physics to estimate the absorption spectrum of solids. It is a structured eigenvalue problem. Its special structure appears in other approaches for studying electron excitation in molecules or solids also. When the Bethe-Salpeter Hamiltonian matrix is definite, the corresponding eigenvalue problem can be reduced to a symmetric eigenvalue problem. However, its special structure leads to a number of interesting spectral properties. We describe these properties that are crucial for developing efficient and reliable numerical algorithms for solving this class of problems.},
doi = {10.1007/978-3-319-62426-6_7},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2017},
month = {1}
}

Conference:
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