Investigations of a one dimensional system of "charged" bosons undergoing delta-function interactions.
Date
1994
Authors
Craig, Terrence Wayne.
Journal Title
Journal ISSN
Volume Title
Publisher
Dalhousie University
Abstract
Description
A one-dimensional system consisting of equal numbers of two types of bosons undergoing interactions through delta function potentials is examined. All particles have the same mass but each boson carries a "charge" that distinguishes one boson type from the other. The interactions are such that like particles repel and unlike attract. The amount of attraction and/or repulsion is determined by two adjustable parameters so that the amount of repulsion is not necessary equal to that of attraction.
Analysis of the behavior of the system is determined by using the Bogoliubov approximation method to reduce the original Hamiltonian to an approximate form that is solvable. Although the approximation method does restrict the parameter space that can be analyzed, it turns out this limitation fortuitously still allows the determination of some interesting thermodynamic properties of the system. Among these properties is the feature of having a system length which exhibits thermodynamic stability provided the temperature is below some finite temperature. This stable length can be quite simply related to the number of particles in the system but this simple relationship is quite different for periodic boundary conditions as compared to Ditichlet boundary conditions.
Thesis (Ph.D.)--Dalhousie University (Canada), 1994.
Analysis of the behavior of the system is determined by using the Bogoliubov approximation method to reduce the original Hamiltonian to an approximate form that is solvable. Although the approximation method does restrict the parameter space that can be analyzed, it turns out this limitation fortuitously still allows the determination of some interesting thermodynamic properties of the system. Among these properties is the feature of having a system length which exhibits thermodynamic stability provided the temperature is below some finite temperature. This stable length can be quite simply related to the number of particles in the system but this simple relationship is quite different for periodic boundary conditions as compared to Ditichlet boundary conditions.
Thesis (Ph.D.)--Dalhousie University (Canada), 1994.
Keywords
Physics, General.