Computations for matrix representations of multi-spin 1/2 systems

This paper focuses on investigating the problems of matrix representations of adjoint and anti-adjoint operators as well as computations for these matrices in multi-spin 1/2 systems. By introducing a multi-index transformation mapping, adjoint and anti-adjoint operators on tensor space as well as th...

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Bibliographic Details
Published in2010 3rd International Congress on Image and Signal Processing Vol. 9; pp. 4197 - 4201
Main Authors Shaosheng Zhou, Shizhou Fu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2010
Subjects
Control theory
Feedback control
Kro-necker product
Lie algebra
Matrices
Pauli matrix
Quantum mechanics
Spin system
Tensile stress
Tensor space
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Summary:This paper focuses on investigating the problems of matrix representations of adjoint and anti-adjoint operators as well as computations for these matrices in multi-spin 1/2 systems. By introducing a multi-index transformation mapping, adjoint and anti-adjoint operators on tensor space as well as their matrix representations are defined to describe dynamics of multi-spin 1/2 systems. Formulas for computing these matrices of the adjoint and anti-adjoint operators in multi-spin 1/2 systems are given in terms of matrix representations of the adjoint and anti-adjoint operators in single-spin 1/2 systems.
ISBN:1424465133
9781424465132
DOI:10.1109/CISP.2010.5646827