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Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations

Klaas Vantournhout (UGent) , Natalie Jachowicz (UGent) and Jan Ryckebusch (UGent)
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Abstract
Abstract: We present a method that offers perspectives to perform fully antisymmetrized simulations for inhomogeneous bulk fermion matter. The technique bears resemblance to classical periodic boundary conditions, using localized single-particle states. Such localized states are an ideal tool to discuss phenomena where spatial localization plays an important role. The antisymmetrization is obtained introducing a doubly periodic structure in the many-body fermion wave functions. This results in circulant matrices for the evaluation of expectation values, leading to a computationally tractable formalism to study fully antisymmetrized bulk fermion matter. We show that the proposed technique is able to reproduce essential fermion features in an elegant and computationally advantageous manner.
Keywords
HEAVY-ION COLLISIONS, BRILLOUIN-ZONE, QUANTUM MOLECULAR-DYNAMICS

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MLA
Vantournhout, Klaas, et al. “Doubly Periodic Structure for the Study of Inhomogeneous Bulk Fermion Matter with Spatial Localizations.” PHYSICAL REVIEW C, vol. 84, no. 3, 2011, doi:10.1103/PhysRevC.84.032801.
APA
Vantournhout, K., Jachowicz, N., & Ryckebusch, J. (2011). Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations. PHYSICAL REVIEW C, 84(3). https://doi.org/10.1103/PhysRevC.84.032801
Chicago author-date
Vantournhout, Klaas, Natalie Jachowicz, and Jan Ryckebusch. 2011. “Doubly Periodic Structure for the Study of Inhomogeneous Bulk Fermion Matter with Spatial Localizations.” PHYSICAL REVIEW C 84 (3). https://doi.org/10.1103/PhysRevC.84.032801.
Chicago author-date (all authors)
Vantournhout, Klaas, Natalie Jachowicz, and Jan Ryckebusch. 2011. “Doubly Periodic Structure for the Study of Inhomogeneous Bulk Fermion Matter with Spatial Localizations.” PHYSICAL REVIEW C 84 (3). doi:10.1103/PhysRevC.84.032801.
Vancouver
1.
Vantournhout K, Jachowicz N, Ryckebusch J. Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations. PHYSICAL REVIEW C. 2011;84(3).
IEEE
[1]
K. Vantournhout, N. Jachowicz, and J. Ryckebusch, “Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations,” PHYSICAL REVIEW C, vol. 84, no. 3, 2011.
@article{2946450,
  abstract     = {{Abstract: We present a method that offers perspectives to perform fully antisymmetrized simulations for inhomogeneous bulk fermion matter. The technique bears resemblance to classical periodic boundary conditions, using localized single-particle states. Such localized states are an ideal tool to discuss phenomena where spatial localization plays an important role. The antisymmetrization is obtained introducing a doubly periodic structure in the many-body fermion wave functions. This results in circulant matrices for the evaluation of expectation values, leading to a computationally tractable formalism to study fully antisymmetrized bulk fermion matter. We show that the proposed technique is able to reproduce essential fermion features in an elegant and computationally advantageous manner.}},
  articleno    = {{032801}},
  author       = {{Vantournhout, Klaas and Jachowicz, Natalie and Ryckebusch, Jan}},
  issn         = {{0556-2813}},
  journal      = {{PHYSICAL REVIEW C}},
  keywords     = {{HEAVY-ION COLLISIONS,BRILLOUIN-ZONE,QUANTUM MOLECULAR-DYNAMICS}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{5}},
  title        = {{Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations}},
  url          = {{http://doi.org/10.1103/PhysRevC.84.032801}},
  volume       = {{84}},
  year         = {{2011}},
}

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