SciPost Submission Page

Quasimomentum of an elementary excitation for a system of point bosons under zero boundary conditions

by Maksim Tomchenko

Submission summary

As Contributors: Maksim Tomchenko
Preprint link: scipost_201905_00003v1
Date submitted: 2019-05-14
Submitted by: Tomchenko, Maksim
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Quantum Physics

Abstract

As is known, an elementary excitation of a many-particle system with boundaries is not characterized by a definite momentum. We obtain the formula for the quasimomentum of an elementary excitation for a one-dimensional system of $N$ spinless point bosons under zero boundary conditions (BCs). In this case, we use the Gaudin's solutions obtained with the help of the Bethe ansatz. We have also found the dispersion laws of particle-like and hole-like excitations under zero BCs. They coincide with the known dispersion laws obtained for periodic BCs.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission scipost_201905_00003v1 on 14 May 2019

Login to report or comment