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2005•Journal of Yunnan Normal UniversityRequires access

The Transform Between Hubbard Operators and Pauli Matrices

WU Jun-fang, Zhang Chun-Min

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Abstract

Aim The Hamiltonian is transformed from Pauli matrices to Hubbard operators. Method we use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by using these transforming formula we realize the change from Pauli matrices to Hubbard operators. Result we get the Hamiltonian expressed by Hubbard operators of the spin-ladder model. Conclusion We use the example to realize the transform between Hubbard operators and Pauli matrices.

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Aim The Hamiltonian is transformed from Pauli matrices to Hubbard operators. Method we use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by using these transforming formula we realize the change from Pauli matrices to Hubbard operators. Result we get the Hamiltonian expressed by Hubbard operators of the spin-ladder model. Conclusion We use the example to realize the transform between Hubbard operators and Pauli matrices.

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Available abstract

Aim The Hamiltonian is transformed from Pauli matrices to Hubbard operators. Method we use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by using these transforming formula we realize the change from Pauli matrices to Hubbard operators. Result we get the Hamiltonian expressed by Hubbard operators of the spin-ladder model. Conclusion We use the example to realize the transform between Hubbard operators and Pauli matrices.

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

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