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...

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### Authors

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Institution:
University of Oxford
Research group:
OCIAM
Oxford college:
St Anne's College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

#### Contributors

Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:e89cd11b-da2c-4c34-be9f-7b3d711e2e64
Local pid:
ora:8818
Language:
English
Keywords:
Subjects: