The Kronecker product and some of its physical applications

In a typical introductory course on quantum mechanics the student has to face two quite different operator products. One of them leads to, for example, commutators and the uncertainty principle, and the other appears when one goes from a one-particle system to a multi-particle one. The latter gives...

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Autor principal: Fernández, Francisco Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Física
Fine structure
Kronecker product
Matrix product
NMR spectrum
Operator product
Spin systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/98036
https://ri.conicet.gov.ar/11336/62295
http://iopscience.iop.org/article/10.1088/0143-0807/37/6/065403/meta
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-98036
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Fine structure
Kronecker product
Matrix product
NMR spectrum
Operator product
Spin systems
spellingShingle Física
Fine structure
Kronecker product
Matrix product
NMR spectrum
Operator product
Spin systems
Fernández, Francisco Marcelo
The Kronecker product and some of its physical applications
topic_facet Física
Fine structure
Kronecker product
Matrix product
NMR spectrum
Operator product
Spin systems
description In a typical introductory course on quantum mechanics the student has to face two quite different operator products. One of them leads to, for example, commutators and the uncertainty principle, and the other appears when one goes from a one-particle system to a multi-particle one. The latter gives rise to the direct or tensor product of operators and vector spaces, and to the Kronecker product of the matrix representations of the operators. We illustrate the practical utility of the Kronecker product by means of two spin systems commonly discussed in introductory courses on quantum mechanics and also by means of a simple model for the interpretation of the NMR signal produced by two interacting protons.
format Articulo
Articulo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_sort Fernández, Francisco Marcelo
title The Kronecker product and some of its physical applications
title_short The Kronecker product and some of its physical applications
title_full The Kronecker product and some of its physical applications
title_fullStr The Kronecker product and some of its physical applications
title_full_unstemmed The Kronecker product and some of its physical applications
title_sort kronecker product and some of its physical applications
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/98036
https://ri.conicet.gov.ar/11336/62295
http://iopscience.iop.org/article/10.1088/0143-0807/37/6/065403/meta
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