Uniqueness of Boson Realization of Fermions

Bagchi, B.

doi:10.1209/0295-5075/27/4/013

Europhys. Lett.

1994

DOI: 10.1209/0295-5075/27/4/013

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Uniqueness of Boson Realization of Fermions

B. Bagchi

Abstract: The question of boson realization of fermions is considered in the general context of q-deformation.

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“…-Assume the linear array has 2N carbon atoms. Let c † n and c n denote the creation and the destruction of the valence electron at site n. Since these are fermions, we have [3,4]…”

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confidence: 99%

Transformation to bond variables

2002

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Valence bonds are the basic entities in many chemical compounds. In a linear array of atoms translational invariance tells us the bonds have to be superposed. These superposed bond variables are shown to satisfy a closed algebra. We use a natural parameter in the algebra to truncate it. This allows us to transform the Hamiltonian of electrons into the Hamiltonian of bonds. Comparing the solutions, we establish the validity of the truncation procedure. The quantum bonds are obtained by superposing valence bonds with arbitrary phases. We demonstrate that these quantum valence bonds satisfy an extended algebra that admits truncation. The electron Hamiltonian is recast in terms of the quantum bonds and solved.

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“…-Assume the linear array has 2N carbon atoms. Let c † n and c n denote the creation and the destruction of the valence electron at site n. Since these are fermions, we have [3,4]…”

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confidence: 99%

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2002

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Reply to the Criticism by B. Bagchi Against the “Generalized Boson Realization of Fermions”

Takada¹

1994

Europhys. Lett.

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Uniqueness of Boson Realization of Fermions

Abstract: The question of boson realization of fermions is considered in the general context of q-deformation.

Cited by 2 publications

References 6 publications

Transformation to bond variables

Transformation to bond variables

Reply to the Criticism by B. Bagchi Against the “Generalized Boson Realization of Fermions”

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