2005Journal of Yancheng Institute of TechnologyRequires access

The Transformation Between Hubbard Operators and Pauli Matrices

WU Jun-fang

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Abstract

Aiming at the transformation of Hamiltonian from Pauli matrices to Hubbard operators, the authors use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by which, they realize the change from Pauli matrices to Hubbard operators.The result has been obtained that the Hamiltonian expressed by Hubbard operators of the spin-ladder model.

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Aiming at the transformation of Hamiltonian from Pauli matrices to Hubbard operators, the authors use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by which, they realize the change from Pauli matrices to Hubbard operators.The result has been obtained that the Hamiltonian expressed by Hubbard operators of the spin-ladder model.

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Available abstract

Aiming at the transformation of Hamiltonian from Pauli matrices to Hubbard operators, the authors use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by which, they realize the change from Pauli matrices to Hubbard operators.The result has been obtained that the Hamiltonian expressed by Hubbard operators of the spin-ladder model.

Key concepts: Hubbard model, Pauli exclusion principle, Hamiltonian (control theory), Mathematical physics, Operator theory, Pauli matrices, Mathematics, Physics

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