Computational Many-Body Physics via $\mathcal M_{2^q}$ Algebra

Emil Prodan

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arXiv · 1906.07309

Computational Many-Body Physics via $\mathcal M_{2^q}$ Algebra

Emil Prodan

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Abstract

The many-body Hamiltonians and other fermionic physical observables are expressed in terms of fermionic creation and annihilation operators, which form the algebra of canonical anti-commutation relations (CAR). In this work we use a canonical isomorphism between CAR and $\mathcal M_{2^\infty}$ algebras to derive analytic matrix representations of many-fermion operators. Code-lines implementing these matrix representations are supplied and Hubbard-type Hamiltonians are worked out explicitly.

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Emil Prodan. 2019-06-17. Computational Many-Body Physics via $\mathcal M_{2^q}$ Algebra. https://arxiv.org/abs/1906.07309

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