Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation

The conditions for invariance in a gauge translation of the fourth-rank molecular hypermagnetisability tensor, introduced to rationalize the cubic response of a molecule in the presence of an external magnetic field, are discussed in terms of quantum mechanical sum rules. Eight relationships, connec...

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Detalles Bibliográficos
Autores principales:	Pagola, Gabriel Ignacio, Caputo, María Cristina, Ferraro, Marta Beatriz
Publicado:	2005
Materias:	Calculations Eigenvalues and eigenfunctions Gages Magnetic fields Mathematical models Polarization Quantum theory Tensors Energy invariant Gauge translation Hypermagnetisability Sum rules Molecules
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00092614_v408_n4-6_p403_Pagola http://hdl.handle.net/20.500.12110/paper_00092614_v408_n4-6_p403_Pagola
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00092614_v408_n4-6_p403_Pagola
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spelling	paper:paper_00092614_v408_n4-6_p403_Pagola2023-06-08T14:33:48Z Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation Pagola, Gabriel Ignacio Caputo, María Cristina Ferraro, Marta Beatriz Calculations Eigenvalues and eigenfunctions Gages Magnetic fields Mathematical models Polarization Quantum theory Tensors Energy invariant Gauge translation Hypermagnetisability Sum rules Molecules The conditions for invariance in a gauge translation of the fourth-rank molecular hypermagnetisability tensor, introduced to rationalize the cubic response of a molecule in the presence of an external magnetic field, are discussed in terms of quantum mechanical sum rules. Eight relationships, connecting electric dipole polarisability, polarisability of magnetisability, and other third- and fourth-rank tensors that can be regarded as intrinsic molecular properties tout court, have been obtained. Numerical tests have been carried out to determine the Hartree-Fock limit for the sum-rules in a set of small molecules. © 2005 Elsevier B.V. All rights reserved. Fil:Pagola, G.I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Caputo, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ferraro, M.B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00092614_v408_n4-6_p403_Pagola http://hdl.handle.net/20.500.12110/paper_00092614_v408_n4-6_p403_Pagola
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Calculations Eigenvalues and eigenfunctions Gages Magnetic fields Mathematical models Polarization Quantum theory Tensors Energy invariant Gauge translation Hypermagnetisability Sum rules Molecules
spellingShingle	Calculations Eigenvalues and eigenfunctions Gages Magnetic fields Mathematical models Polarization Quantum theory Tensors Energy invariant Gauge translation Hypermagnetisability Sum rules Molecules Pagola, Gabriel Ignacio Caputo, María Cristina Ferraro, Marta Beatriz Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
topic_facet	Calculations Eigenvalues and eigenfunctions Gages Magnetic fields Mathematical models Polarization Quantum theory Tensors Energy invariant Gauge translation Hypermagnetisability Sum rules Molecules
description	The conditions for invariance in a gauge translation of the fourth-rank molecular hypermagnetisability tensor, introduced to rationalize the cubic response of a molecule in the presence of an external magnetic field, are discussed in terms of quantum mechanical sum rules. Eight relationships, connecting electric dipole polarisability, polarisability of magnetisability, and other third- and fourth-rank tensors that can be regarded as intrinsic molecular properties tout court, have been obtained. Numerical tests have been carried out to determine the Hartree-Fock limit for the sum-rules in a set of small molecules. © 2005 Elsevier B.V. All rights reserved.
author	Pagola, Gabriel Ignacio Caputo, María Cristina Ferraro, Marta Beatriz
author_facet	Pagola, Gabriel Ignacio Caputo, María Cristina Ferraro, Marta Beatriz
author_sort	Pagola, Gabriel Ignacio
title	Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
title_short	Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
title_full	Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
title_fullStr	Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
title_full_unstemmed	Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
title_sort	sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation
publishDate	2005
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00092614_v408_n4-6_p403_Pagola http://hdl.handle.net/20.500.12110/paper_00092614_v408_n4-6_p403_Pagola
work_keys_str_mv	AT pagolagabrielignacio sumrulesforinvarianceofthefourthrankhypermagnetisabilityinagaugetranslation AT caputomariacristina sumrulesforinvarianceofthefourthrankhypermagnetisabilityinagaugetranslation AT ferraromartabeatriz sumrulesforinvarianceofthefourthrankhypermagnetisabilityinagaugetranslation
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Sum rules for invariance of the fourth-rank hypermagnetisability in a gauge translation

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