Spherical Deformation for One-dimensional Quantum Systems

Details Spherical Deformation for One-dimensional Quantum Systems Spherical Deformation for One-dimensional Quantum Systems

2008-10-03

arxiv.org/abs/0810.0622v6

Prog. Theor. Phys. 122 (2009), 953-967 and Errata in Prog. Theor. Phys. 123 (2010), 393-393

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 8 figures, the paper includes Errata

Scientific paper

10.1143/PTP.122.953

System-size dependence of the ground-state energy E^N 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 E^N / N - \lim_{N \to \infty} E^N / N, is of the order of 1 / N^2 when the reduction factor of the interaction is expressed by a sinusoidal function. We discuss the origin of this fast convergence from the view point of the spherical geometry.

Affiliated with

Also associated with

No associations

Rating

Spherical Deformation for One-dimensional Quantum Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spherical Deformation for One-dimensional Quantum Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spherical Deformation for One-dimensional Quantum Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-409745