Generalized Euler angles for a unitary control of the Hamiltonian system
Quantum Physics
2023-05-01 v1 Mathematical Physics
math.MP
Abstract
We provide an angular parametrization of the special unitary group generalizing Euler angles for by successively applying the KAK decomposition. We then determine constraint equations for the parametric curve of generalized Euler angles corresponding to the exponential curve of a given Hamiltonian. The constraint equations are in the form of first-order differential-algebraic equations and resemble Wei-Norman equations of canonical coordinates of the second kind for .
Cite
@article{arxiv.2304.14624,
title = {Generalized Euler angles for a unitary control of the Hamiltonian system},
author = {Seungjin Lee and Kyunghyun Baek and Jeongho Bang},
journal= {arXiv preprint arXiv:2304.14624},
year = {2023}
}