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Title: Wigner rotation in dirac fields
Keywords: Spin, relativistic quantum mechanics, Dirac spin, Pauli-Lubanski vector, Wigner spin, field-theoretic
Issue Date: 15-Sep-2006
Citation: HOR WEI HANN (2006-09-15). Wigner rotation in dirac fields. ScholarBank@NUS Repository.
Abstract: Spin as defined in non-relativistic quantum mechanics is the two-dimensional irreducible representation of angular momentum of a quantum state. However, a Minkowskian space-time picture is required to describe a free relativistic particle with spin, and it is named as the Pauli-Lubanski vector. The induced group representations and field-theoretic approach to relativistic quantum mechanics allow us to describe two different spin operators, and the motivation for this thesis is to show the logical consistency between the two. The Dirac spin operator derived from the field-theoretic approach is shown to be equivalent to the induced representation of the Pauli-Lubanski vector of the Poincare group, under appropriate coordinate representation. Finally, it is also shown that the Dirac spin operator is equivalent to the Wigner spin operator up to a proportional factor.These two spin operators agree exactly when the measurement axis is taken as along the direction of the particle momentum.
Appears in Collections:Master's Theses (Open)

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