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Canonical form of Hamiltonian matrices

A. P. Zuker·L. Waha Ndeuna·F. Nowacki·E. Caurier
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Abstract

On the basis of shell model simulations, it is conjectured that the Lanczos construction at fixed quantum numbers defines---within fluctuations and behaviour very near the origin---smooth canonical matrices whose forms depend on the rank of the Hamiltonian, dimensionality of the vector space, and second and third moments. A framework emerges that amounts to a general Anderson model capable of dealing with ground state properties and strength functions. The smooth forms imply binomial level densities. A simplified approach to canonical thermodynamics is proposed.

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A. P. Zuker, L. Waha Ndeuna, F. Nowacki, E. Caurier. 2001-05-26. Canonical form of Hamiltonian matrices. https://doi.org/10.1103/physrevc.64.021304

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