Introducing the Random Phase Approximation Theory

Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of motion method, the Green function perturbation theory and the tim...
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Autor*in:	Giampaolo Co’ [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	quantum many-body theories collective excitations of many-body systems nuclear giant resonances

Übergeordnetes Werk:	In: Universe - MDPI AG, 2015, 9(2023), 3, p 141
Übergeordnetes Werk:	volume:9 ; year:2023 ; number:3, p 141

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DOI / URN:	10.3390/universe9030141

Katalog-ID:	DOAJ08722237X

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spelling	10.3390/universe9030141 doi (DE-627)DOAJ08722237X (DE-599)DOAJa24d76c294914b349972f668d39e1533 DE-627 ger DE-627 rakwb eng QC793-793.5 Giampaolo Co’ verfasserin aut Introducing the Random Phase Approximation Theory 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of motion method, the Green function perturbation theory and the time-dependent Hartree–Fock theory. Each approach emphasizes specific aspects of the theory overlooked by the other methods. Extensions of the RPA secular equations to treat the continuum part of the excitation spectrum and also the pairing between the particles composing the system are presented. Theoretical approaches which overcome the intrinsic approximations of RPA are outlined. quantum many-body theories collective excitations of many-body systems nuclear giant resonances Elementary particle physics In Universe MDPI AG, 2015 9(2023), 3, p 141 (DE-627)820684236 (DE-600)2813994-X 22181997 nnns volume:9 year:2023 number:3, p 141 https://doi.org/10.3390/universe9030141 kostenfrei https://doaj.org/article/a24d76c294914b349972f668d39e1533 kostenfrei https://www.mdpi.com/2218-1997/9/3/141 kostenfrei https://doaj.org/toc/2218-1997 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2023 3, p 141
allfields_unstemmed	10.3390/universe9030141 doi (DE-627)DOAJ08722237X (DE-599)DOAJa24d76c294914b349972f668d39e1533 DE-627 ger DE-627 rakwb eng QC793-793.5 Giampaolo Co’ verfasserin aut Introducing the Random Phase Approximation Theory 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of motion method, the Green function perturbation theory and the time-dependent Hartree–Fock theory. Each approach emphasizes specific aspects of the theory overlooked by the other methods. Extensions of the RPA secular equations to treat the continuum part of the excitation spectrum and also the pairing between the particles composing the system are presented. Theoretical approaches which overcome the intrinsic approximations of RPA are outlined. quantum many-body theories collective excitations of many-body systems nuclear giant resonances Elementary particle physics In Universe MDPI AG, 2015 9(2023), 3, p 141 (DE-627)820684236 (DE-600)2813994-X 22181997 nnns volume:9 year:2023 number:3, p 141 https://doi.org/10.3390/universe9030141 kostenfrei https://doaj.org/article/a24d76c294914b349972f668d39e1533 kostenfrei https://www.mdpi.com/2218-1997/9/3/141 kostenfrei https://doaj.org/toc/2218-1997 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2023 3, p 141
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callnumber-first	Q - Science
author	Giampaolo Co’
spellingShingle	Giampaolo Co’ misc QC793-793.5 misc quantum many-body theories misc collective excitations of many-body systems misc nuclear giant resonances misc Elementary particle physics Introducing the Random Phase Approximation Theory
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topic_title	QC793-793.5 Introducing the Random Phase Approximation Theory quantum many-body theories collective excitations of many-body systems nuclear giant resonances
topic	misc QC793-793.5 misc quantum many-body theories misc collective excitations of many-body systems misc nuclear giant resonances misc Elementary particle physics
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title	Introducing the Random Phase Approximation Theory
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title_full	Introducing the Random Phase Approximation Theory
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title_sort	introducing the random phase approximation theory
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title_auth	Introducing the Random Phase Approximation Theory
abstract	Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of motion method, the Green function perturbation theory and the time-dependent Hartree–Fock theory. Each approach emphasizes specific aspects of the theory overlooked by the other methods. Extensions of the RPA secular equations to treat the continuum part of the excitation spectrum and also the pairing between the particles composing the system are presented. Theoretical approaches which overcome the intrinsic approximations of RPA are outlined.
abstractGer	Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of motion method, the Green function perturbation theory and the time-dependent Hartree–Fock theory. Each approach emphasizes specific aspects of the theory overlooked by the other methods. Extensions of the RPA secular equations to treat the continuum part of the excitation spectrum and also the pairing between the particles composing the system are presented. Theoretical approaches which overcome the intrinsic approximations of RPA are outlined.
abstract_unstemmed	Random Phase Approximation (RPA) is the theory most commonly used to describe the excitations of many-body systems. In this article, the secular equations of the theory are obtained by using three different approaches: the equation of motion method, the Green function perturbation theory and the time-dependent Hartree–Fock theory. Each approach emphasizes specific aspects of the theory overlooked by the other methods. Extensions of the RPA secular equations to treat the continuum part of the excitation spectrum and also the pairing between the particles composing the system are presented. Theoretical approaches which overcome the intrinsic approximations of RPA are outlined.
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