Journal Article

Spherical Deformation for One-Dimensional Quantum Systems

Andrej Gendiar, Roman Krcmar and Tomotoshi Nishino

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 122, issue 4, pages 953-967
Published in print October 2009 | ISSN: 0033-068X
Published online October 2009 | e-ISSN: 1347-4081 | DOI: https://dx.doi.org/10.1143/PTP.122.953
Spherical Deformation for One-Dimensional Quantum Systems

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  • Condensed Matter Physics
  • Classical Mechanics
  • Computational Physics

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System-size dependence of the ground-state energy EN is investigated for N-site one-dimensional (1D) quantum systems with open boundary condition, where the interaction strength decreases towards the both ends of the system. For the spinless Fermions on the 1D lattice we have considered, it is shown that the finite-size correction to the energy per site, which is defined as EN/N − limN → ∞ EN/N, is of the order of 1/N2 when the reduction factor of the interaction is expressed by a sinusoidal function. We discuss the origin of this fast convergence from the viewpoint of the spherical geometry.

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Subjects: Condensed Matter Physics ; Classical Mechanics ; Computational Physics

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