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

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.

Authors:
 [1];  [2]; ;  [3]
  1. GSI Helmholtzzentrum fuer Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt (Germany)
  2. (Belgium)
  3. Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000 Gent (Belgium)
Publication Date:
OSTI Identifier:
21596724
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 84; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.84.032801; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOUNDARY CONDITIONS; EVALUATION; FERMIONS; MANY-BODY PROBLEM; PERIODICITY; SIMULATION; WAVE FUNCTIONS; FUNCTIONS; VARIATIONS

Citation Formats

Vantournhout, Klaas, Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000 Gent, Jachowicz, Natalie, and Ryckebusch, Jan. Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations. United States: N. p., 2011. Web. doi:10.1103/PHYSREVC.84.032801.
Vantournhout, Klaas, Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000 Gent, Jachowicz, Natalie, & Ryckebusch, Jan. Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations. United States. doi:10.1103/PHYSREVC.84.032801.
Vantournhout, Klaas, Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000 Gent, Jachowicz, Natalie, and Ryckebusch, Jan. 2011. "Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations". United States. doi:10.1103/PHYSREVC.84.032801.
@article{osti_21596724,
title = {Doubly periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations},
author = {Vantournhout, Klaas and Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000 Gent and Jachowicz, Natalie and Ryckebusch, Jan},
abstractNote = {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.},
doi = {10.1103/PHYSREVC.84.032801},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 84,
place = {United States},
year = 2011,
month = 9
}
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