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1986•Progress of Theoretical PhysicsOpen access

Reduced Model of Anderson-Hamiltonian. II: Exact Spin Eigenstates

T. Kebukawa

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Abstract

It is shown that the energy eigenstate of the reduced model of Anderson-Hamiltonian proposed in a prewious paper1) is simultaneously the spin eigenstate. M parameters (M denotes the number of down spin electrons) are introduced in the representation of the coupled equations of which solutions give the energy eigenvalue. Two notes on the solution of the eigenvalue problem are presented.

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It is shown that the energy eigenstate of the reduced model of Anderson-Hamiltonian proposed in a prewious paper1) is simultaneously the spin eigenstate. M parameters (M denotes the number of down spin electrons) are introduced in the representation of the coupled equations of which solutions give the energy eigenvalue. Two notes on the solution of the eigenvalue problem are presented.

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Available abstract

It is shown that the energy eigenstate of the reduced model of Anderson-Hamiltonian proposed in a prewious paper1) is simultaneously the spin eigenstate. M parameters (M denotes the number of down spin electrons) are introduced in the representation of the coupled equations of which solutions give the energy eigenvalue. Two notes on the solution of the eigenvalue problem are presented.

Key concepts: Eigenvalues and eigenvectors, Physics, Hamiltonian (control theory), Mathematical physics, Electron, Quantum mechanics, Spin (aerodynamics), Mathematics

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