One dimension

清美 岡本, Kiyomi Okamoto

, Correlation Function <Siz Sjz> in Spin--1/2 Alternating Heisenberg-XY Antiferromagnets in One-Dimension in Spin-1/2 Alternating Heisenberg-XY Antiferromagnets in One-Dimension

Ashok Kumar Kapoor, Prasanta Kumar Panigrahi, S. Sree Ranjani

Noriaki Horiuchi

Vania Elisabeth Barlette, Marcelo M. Leite, Sadhan K. Adhikari +1 more

A self-contained discussion of nonrelativistic quantum scattering is presented in the case of central potentials in one space dimension, which will facilitate the understanding of the more complex scattering theory in two and three dimensions. The present discussion illustrates in a simple way the concept of partial-wave decomposition, phase shift, optical theorem and There has been great interest in studying tunneling phenomena in a finite superlattice [1], which essentially deals with quantum scattering in one dimension. It has also been emphasized [2] that a study of quantum scattering in one dimension is important for the study of Levinson’s theorem and virial coefficient. Moreover, one-dimensional quantum

Alberto Galindo, P. Pascual

Urbashi Satpathi, Sumit Ghosh, Alak K. Ray +1 more

Possibility of electronic charge and spin separation leading to charge density wave and spin density wave is well established in one dimensional systems in presence and absence of Coulomb interaction. We start from quasi one dimension and show the possibility of such a transition in quasi one dimension as well as in two dimension by going to a regime where it can be shown for free electrons that just interact via Fermi statistics. Since Coulomb interaction can only facilitate the phenomenon, the purpose of our work is to show the phenomena unambiguously in the limit when Coulomb interaction can be ignored. Finally we also comment on dimensions greater than two and inclusion of Coulomb interactions.