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Lecture 9: the density operator

Lecture 9: the density operator
Lecture 9: the density operator
In this lecture, I lay down the basics for the study of the dynamics of a large collection of identical spin systems by introducing the concept of a density operator and an equation for its evolution. Ensembles of spin systems represent macroscopic samples; in quantum mechanics, these can only be described in statistical terms through a density operator. This latter can be expressed in terms of spin angular momentum operators. The density operator allows all measurable properties of an ensemble of spin systems to be determined.
105-117
Royal Society of Chemistry
Pileio, Giuseppe
13f78e66-0707-4438-b9c9-6dbd3eb7d4e8
Pileio, Giuseppe
Pileio, Giuseppe
13f78e66-0707-4438-b9c9-6dbd3eb7d4e8
Pileio, Giuseppe

Pileio, Giuseppe (2022) Lecture 9: the density operator. In, Pileio, Giuseppe (ed.) Lectures On Spin Dynamics: The Theoretical Minimum. (RSC eTextbook Collection) Royal Society of Chemistry, pp. 105-117. (doi:10.1039/9781837670871-00105).

Record type: Book Section

Abstract

In this lecture, I lay down the basics for the study of the dynamics of a large collection of identical spin systems by introducing the concept of a density operator and an equation for its evolution. Ensembles of spin systems represent macroscopic samples; in quantum mechanics, these can only be described in statistical terms through a density operator. This latter can be expressed in terms of spin angular momentum operators. The density operator allows all measurable properties of an ensemble of spin systems to be determined.

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Published date: 13 June 2022

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Local EPrints ID: 478714
URI: http://eprints.soton.ac.uk/id/eprint/478714
PURE UUID: a920bdd2-fa7d-498c-b7fb-61729c0128b1
ORCID for Giuseppe Pileio: ORCID iD orcid.org/0000-0001-9223-3896

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Date deposited: 07 Jul 2023 16:43
Last modified: 18 Mar 2024 03:02

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Author: Giuseppe Pileio ORCID iD
Editor: Giuseppe Pileio

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