Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
toledo1195507917.pdf (1.53 MB)
ETD Abstract Container
Abstract Header
QUANTUM THEORY OF MANY BOSE ATOM SYSTEMS
Author Info
Khan, Imran
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=toledo1195507917
Abstract Details
Year and Degree
2007, Doctor of Philosophy, University of Toledo, Physics.
Abstract
This dissertation describes some of the efforts involved in developing a systematic understanding of Quantum many-atom systems with real atomic interactions. Specifically, we develop and a apply a non-perturbative Quantum theory of many-atom systems under a strong long-range interaction. A non-perturbative theory is necessary because the perturbation method cannot adequately describe many-atom systems with strong interactions, especially if the interactions are strong enough to form bound states. The long-range behaviour is of special significance because it determines the universal behaviour of an atomic system. In order to calculate the equation of state, at the Van der Waals length scale, a variance minimized variational Monte Carlo (VMVMC) method is developed. Unlike the standard Monte Carlo method, the VMVMC method minimizes the variance of the energy instead of the energy itself. Minimizing the energy is only suitable for the true ground state of a system; many-atom systems represent highly excited states, so, therefore it is not suitable to minimize the energy and instead the variance is minimized. This concept has been developed by Dr. Gao and it has a wider range of applicability than results based on mean field theory or perturbation theory. Results are presented for few and many-atom systems with or without a trap and for both positive and negative scattering lengths.
Committee
BO GAO (Advisor)
Subject Headings
Physics, Atomic
Keywords
QUANTUM
;
BOSE
;
ATOMS
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Khan, I. (2007).
QUANTUM THEORY OF MANY BOSE ATOM SYSTEMS
[Doctoral dissertation, University of Toledo]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1195507917
APA Style (7th edition)
Khan, Imran.
QUANTUM THEORY OF MANY BOSE ATOM SYSTEMS.
2007. University of Toledo, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=toledo1195507917.
MLA Style (8th edition)
Khan, Imran. "QUANTUM THEORY OF MANY BOSE ATOM SYSTEMS." Doctoral dissertation, University of Toledo, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1195507917
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
toledo1195507917
Download Count:
1,103
Copyright Info
© 2007, all rights reserved.
This open access ETD is published by University of Toledo and OhioLINK.