Pileio, Giuseppe (2022) Lecture 1: operator and superoperator algebra. In, Pileio, Giuseppe (ed.) Lectures On Spin Dynamics: The Theoretical Minimum. (RSC eTextbook Collection) Royal Society of Chemistry, pp. 1-17. (doi:10.1039/9781837670871-00001).
Abstract
In this lecture, I discuss some basic concepts of quantum mechanics, the ones that are most relevant to this series of lectures. I revise the concepts of states, operators and superoperators and the most important elements of their algebra, including traces, commutators, eigenvalues and eigensystems, observables and expectation values, basis sets and related concepts.
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