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arXiv · 2008.13271

Algebraic approach and Berry phase of a Hamiltonian with a general $SU(1,1)$ symmetry

E. Choreño·R. Valencia·D. Ojeda-Guillén
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Abstract

In this paper we study a general Hamiltonian with a linear structure given in terms of two different realizations of the $SU(1,1)$ group. We diagonalize this Hamiltonian by using the similarity transformations of the $SU(1,1)$ and $SU(2)$ displacement operators performed to the $su(1,1)$ Lie algebra generators. Then, we compute the Berry phase of a general time-dependent Hamiltonian with this general $SU(1,1)$ linear structure.

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E. Choreño, R. Valencia, D. Ojeda-Guillén. 2020-08-30. Algebraic approach and Berry phase of a Hamiltonian with a general $SU(1,1)$ symmetry. https://doi.org/10.1063/5.0027957

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