Thesis

Development of the Quantum Lattice Boltzmann method for simulation of quantum electrodynamics with applications to graphene

Abstract:

We investigate the simulations of the the Schrödinger equation using the onedimensional quantum lattice Boltzmann (QLB) scheme and the irregular behaviour of solution. We isolate error due to approximation of the Schrödinger solution with the non-relativistic limit of the Dirac equation and numerical error in solving the Dirac equation. Detailed analysis of the original scheme showed it to be first order accurate. By discretizing the Dirac equation consistently on both sides we derive a se...

Access Document

Files:
• (pdf, 18.2MB)

Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
OCIAM
Oxford college:
St Anne's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:e89cd11b-da2c-4c34-be9f-7b3d711e2e64
Local pid:
ora:8818
Deposit date:
2014-07-21