2019/07/28 by P. G. Morrison, Morrison, P. G. · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Calculus (dental) #Computer science #Context (archaeology) #Development (topology) #Epistemology #Expansive #FOS: Physical sciences #Field (mathematics) #Law #Mathematical analysis #Mathematics #Meaning (existential) #Nuclear Theory (nucl-th) #Numerical methods for differential equations #Physics #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum mechanics #Simple (philosophy) #Theoretical physics #Transformation (genetics) #Unitary state #Unitary transformation #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1907.12957
published in arXiv (Cornell University) (Cornell University) · 23 pages, 131 equations
arxiv created 2019/07/28 · openalex publication_date 2019/07/28 · arxiv updated 2019/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an outline of a technique to associate certain methods from time optimal quantum control with various transforms on SU(3). Unitary operators are taken from certain time dependent Hamiltonians and transformation laws are derived. A methodological framework for development of solution for these types of problems with a non-simple geometric framework is presented that is generally applicable. We give an expansive overview of the field of SU(3), its meaning, purpose and context within the presented results. Exact solutions for periodic curves on SU(3) are provided, along with the operators and physical framework that surrounds them. A comprehensive review of the literature and established results is given for reference. Discussion is given in full to effective approaches that may be given both to the teaching of the subject, and the development of further results within the science. We conclude the paper with an overview of new avenues of investigation that are opened through the results that are presented.