Skip to main content

LUP Student Papers

LUND UNIVERSITY LIBRARIES

Full Configuration Interaction Model for 1-D Quantum System

Asaad, Adam LU (2022) FYSK02 20211
Mathematical Physics
Department of Physics
Abstract
The many-body problem is one of the most challenging problems in physics due to the complexity emerging from the interactions of many quantum particles. Since the advent of computers with increasing power, computational methods have been very successful in providing insight and precise solutions to this problem. We give an introduction to two canonically used methods, density functional theory and configuration interaction, providing the example of a valence space nuclear shell model calculation. In this work, we developed
a program that applies the full configuration interaction method to a general 1-D quantum system with success, providing insight into the dynamics of a many-body system in different conditions of potential, interaction... (More)
The many-body problem is one of the most challenging problems in physics due to the complexity emerging from the interactions of many quantum particles. Since the advent of computers with increasing power, computational methods have been very successful in providing insight and precise solutions to this problem. We give an introduction to two canonically used methods, density functional theory and configuration interaction, providing the example of a valence space nuclear shell model calculation. In this work, we developed
a program that applies the full configuration interaction method to a general 1-D quantum system with success, providing insight into the dynamics of a many-body system in different conditions of potential, interaction and number of particles. (Less)
Popular Abstract
One of the hardest problems in physics is figuring out what happens when you put a bunch of interacting sub-atomic particles together, this is called the many-body problem. This is important since many natural phenomena, everything from batteries to the burning of our sun, is caused by bundles of sub-atomic particles, usually in the form of atoms or atomic nuclei. The difficulty of the many-body problem comes from the fact that each particle’s motion is affected by that of every other particle, making the equations that describe them very complicated and in most cases, impossible to solve by hand. This is where the relatively recent advent of computers has found use in tackling this problem numerically, using computational methods that... (More)
One of the hardest problems in physics is figuring out what happens when you put a bunch of interacting sub-atomic particles together, this is called the many-body problem. This is important since many natural phenomena, everything from batteries to the burning of our sun, is caused by bundles of sub-atomic particles, usually in the form of atoms or atomic nuclei. The difficulty of the many-body problem comes from the fact that each particle’s motion is affected by that of every other particle, making the equations that describe them very complicated and in most cases, impossible to solve by hand. This is where the relatively recent advent of computers has found use in tackling this problem numerically, using computational methods that have been developed specifically to take advantage of the ever increasing power of computers to find approximated and brute-force solutions for many types of these bundles, and with great success. In this manuscript, we give an introduction to some of these methods and demonstrate a computer program that applies them to a small collection of particles, such as a small nucleus. (Less)
Please use this url to cite or link to this publication:
author
Asaad, Adam LU
supervisor
organization
course
FYSK02 20211
year
type
M2 - Bachelor Degree
subject
language
English
id
9075113
date added to LUP
2022-02-10 14:56:01
date last changed
2022-02-10 14:56:01
@misc{9075113,
  abstract     = {{The many-body problem is one of the most challenging problems in physics due to the complexity emerging from the interactions of many quantum particles. Since the advent of computers with increasing power, computational methods have been very successful in providing insight and precise solutions to this problem. We give an introduction to two canonically used methods, density functional theory and configuration interaction, providing the example of a valence space nuclear shell model calculation. In this work, we developed
a program that applies the full configuration interaction method to a general 1-D quantum system with success, providing insight into the dynamics of a many-body system in different conditions of potential, interaction and number of particles.}},
  author       = {{Asaad, Adam}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{Full Configuration Interaction Model for 1-D Quantum System}},
  year         = {{2022}},
}