---
_id: '18466'
abstract:
- lang: eng
  text: The transverse dynamic spin susceptibility is a correlation function that
    yields exact information about spin excitations in systems with a collinear magnetic
    ground state, including collective spin-wave modes. In an ab initio context, it
    may be calculated within many-body perturbation theory or time-dependent density-functional
    theory, but the quantitative accuracy is currently limited by the available functionals
    for exchange and correlation in dynamically evolving systems. To circumvent this
    limitation, the spin susceptibility is here alternatively formulated as the solution
    of an initial-value problem. In this way, the challenge of accurately describing
    exchange and correlation in many-electron systems is shifted to the stationary
    initial state, which is much better understood. The proposed scheme further requires
    the choice of an auxiliary basis set, which determines the speed of convergence
    but always allows systematic convergence in practical implementations.
article_number: '3732892'
article_type: original
author:
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
citation:
  ama: Schindlmayr A. Exact formulation of the transverse dynamic spin susceptibility
    as an initial-value problem. <i>Advances in Mathematical Physics</i>. 2018;2018.
    doi:<a href="https://doi.org/10.1155/2018/3732892">10.1155/2018/3732892</a>
  apa: Schindlmayr, A. (2018). Exact formulation of the transverse dynamic spin susceptibility
    as an initial-value problem. <i>Advances in Mathematical Physics</i>, <i>2018</i>,
    Article 3732892. <a href="https://doi.org/10.1155/2018/3732892">https://doi.org/10.1155/2018/3732892</a>
  bibtex: '@article{Schindlmayr_2018, title={Exact formulation of the transverse dynamic
    spin susceptibility as an initial-value problem}, volume={2018}, DOI={<a href="https://doi.org/10.1155/2018/3732892">10.1155/2018/3732892</a>},
    number={3732892}, journal={Advances in Mathematical Physics}, publisher={Hindawi},
    author={Schindlmayr, Arno}, year={2018} }'
  chicago: Schindlmayr, Arno. “Exact Formulation of the Transverse Dynamic Spin Susceptibility
    as an Initial-Value Problem.” <i>Advances in Mathematical Physics</i> 2018 (2018).
    <a href="https://doi.org/10.1155/2018/3732892">https://doi.org/10.1155/2018/3732892</a>.
  ieee: 'A. Schindlmayr, “Exact formulation of the transverse dynamic spin susceptibility
    as an initial-value problem,” <i>Advances in Mathematical Physics</i>, vol. 2018,
    Art. no. 3732892, 2018, doi: <a href="https://doi.org/10.1155/2018/3732892">10.1155/2018/3732892</a>.'
  mla: Schindlmayr, Arno. “Exact Formulation of the Transverse Dynamic Spin Susceptibility
    as an Initial-Value Problem.” <i>Advances in Mathematical Physics</i>, vol. 2018,
    3732892, Hindawi, 2018, doi:<a href="https://doi.org/10.1155/2018/3732892">10.1155/2018/3732892</a>.
  short: A. Schindlmayr, Advances in Mathematical Physics 2018 (2018).
date_created: 2020-08-27T19:18:34Z
date_updated: 2025-12-16T08:04:17Z
ddc:
- '530'
department:
- _id: '296'
- _id: '35'
- _id: '15'
- _id: '170'
- _id: '230'
doi: 10.1155/2018/3732892
external_id:
  isi:
  - '000422773000001'
file:
- access_level: open_access
  content_type: application/pdf
  creator: schindlm
  date_created: 2020-08-28T09:18:25Z
  date_updated: 2020-08-30T14:31:38Z
  description: Creative Commons Attribution 4.0 International Public License (CC BY
    4.0)
  file_id: '18537'
  file_name: 3732892.pdf
  file_size: 294410
  relation: main_file
  title: Exact formulation of the transverse dynamic spin susceptibility as an initial-value
    problem
file_date_updated: 2020-08-30T14:31:38Z
has_accepted_license: '1'
intvolume: '      2018'
isi: '1'
language:
- iso: eng
oa: '1'
publication: Advances in Mathematical Physics
publication_identifier:
  eissn:
  - 1687-9139
  issn:
  - 1687-9120
publication_status: published
publisher: Hindawi
quality_controlled: '1'
status: public
title: Exact formulation of the transverse dynamic spin susceptibility as an initial-value
  problem
type: journal_article
user_id: '16199'
volume: 2018
year: '2018'
...