A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory

A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory

The transfer matrix has been the standard approach for showing the equivalence between Lagrangian(path integral) and Hamiltonian(operator) formulation of quantum theory. In this thesis we apply an alternative method called dimensionally reduced matrix to prove this equivalence in the context of ferm...

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Main Author: Jia, Yiyang
Other Authors: School of Physical and Mathematical Sciences
Format: Final Year Project
Language:English
Published: 2012
Subjects:
DRNTU::Science::Physics::Nuclear and particle physics
Online Access:http://hdl.handle.net/10356/49146
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-491462023-02-28T23:11:13Z A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory Jia, Yiyang School of Physical and Mathematical Sciences David Henry Adams DRNTU::Science::Physics::Nuclear and particle physics The transfer matrix has been the standard approach for showing the equivalence between Lagrangian(path integral) and Hamiltonian(operator) formulation of quantum theory. In this thesis we apply an alternative method called dimensionally reduced matrix to prove this equivalence in the context of fermion quantum field theory, and give a comparison of the two approaches. It is found that the features of second quantization and quantization under external field are more manifest in our proof, which are obscured in transfer matrix approach. Bachelor of Science in Physics 2012-05-15T04:19:38Z 2012-05-15T04:19:38Z 2012 2012 Final Year Project (FYP) http://hdl.handle.net/10356/49146 en 45 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics::Nuclear and particle physics
spellingShingle DRNTU::Science::Physics::Nuclear and particle physics
Jia, Yiyang
A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory
description The transfer matrix has been the standard approach for showing the equivalence between Lagrangian(path integral) and Hamiltonian(operator) formulation of quantum theory. In this thesis we apply an alternative method called dimensionally reduced matrix to prove this equivalence in the context of fermion quantum field theory, and give a comparison of the two approaches. It is found that the features of second quantization and quantization under external field are more manifest in our proof, which are obscured in transfer matrix approach.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Jia, Yiyang
format Final Year Project
author Jia, Yiyang
author_sort Jia, Yiyang
title A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory
title_short A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory
title_full A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory
title_fullStr A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory
title_full_unstemmed A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory
title_sort dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory
publishDate 2012
url http://hdl.handle.net/10356/49146
_version_ 1759853123579412480

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