Full Configuration Interaction Model for 1-D Quantum System
(2022) FYSK02 20211Mathematical 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:
http://lup.lub.lu.se/student-papers/record/9075113
- author
- Asaad, Adam LU
- supervisor
-
- Andrea Idini LU
- organization
- course
- FYSK02 20211
- year
- 2022
- 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}}, }