Numerical bootstrap in quantum mechanics

We study the effectiveness of the numerical bootstrap techniques recently developed in [1] for quantum mechanical systems. We find that for a double well potential the bootstrap method correctly captures non-perturbative aspects. Using this technique we then investigate quantum mechanical potentials...

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Autores principales:	Jyotirmoy Bhattacharya, Diptarka Das, Sayan Kumar Das, Ankit Kumar Jha, Moulindu Kundu
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Numerical bootstrap Susy quantum mechanics O(N) vector model in 0+1 D Physics QC1-999
Acceso en línea:	https://doaj.org/article/3753759c28454e359db8e8fa62bde8b9
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id	oai:doaj.org-article:3753759c28454e359db8e8fa62bde8b9
record_format	dspace
spelling	oai:doaj.org-article:3753759c28454e359db8e8fa62bde8b92021-12-04T04:32:45ZNumerical bootstrap in quantum mechanics0370-269310.1016/j.physletb.2021.136785https://doaj.org/article/3753759c28454e359db8e8fa62bde8b92021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321007255https://doaj.org/toc/0370-2693We study the effectiveness of the numerical bootstrap techniques recently developed in [1] for quantum mechanical systems. We find that for a double well potential the bootstrap method correctly captures non-perturbative aspects. Using this technique we then investigate quantum mechanical potentials related by supersymmetry and recover the expected spectra. Finally, we also study the singlet sector of O(N) vector model quantum mechanics, where we find that the bootstrap method yields results which in the large N agree with saddle point analysis.Jyotirmoy BhattacharyaDiptarka DasSayan Kumar DasAnkit Kumar JhaMoulindu KunduElsevierarticleNumerical bootstrapSusy quantum mechanicsO(N) vector model in 0+1 DPhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136785- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Numerical bootstrap Susy quantum mechanics O(N) vector model in 0+1 D Physics QC1-999
spellingShingle	Numerical bootstrap Susy quantum mechanics O(N) vector model in 0+1 D Physics QC1-999 Jyotirmoy Bhattacharya Diptarka Das Sayan Kumar Das Ankit Kumar Jha Moulindu Kundu Numerical bootstrap in quantum mechanics
description	We study the effectiveness of the numerical bootstrap techniques recently developed in [1] for quantum mechanical systems. We find that for a double well potential the bootstrap method correctly captures non-perturbative aspects. Using this technique we then investigate quantum mechanical potentials related by supersymmetry and recover the expected spectra. Finally, we also study the singlet sector of O(N) vector model quantum mechanics, where we find that the bootstrap method yields results which in the large N agree with saddle point analysis.
format	article
author	Jyotirmoy Bhattacharya Diptarka Das Sayan Kumar Das Ankit Kumar Jha Moulindu Kundu
author_facet	Jyotirmoy Bhattacharya Diptarka Das Sayan Kumar Das Ankit Kumar Jha Moulindu Kundu
author_sort	Jyotirmoy Bhattacharya
title	Numerical bootstrap in quantum mechanics
title_short	Numerical bootstrap in quantum mechanics
title_full	Numerical bootstrap in quantum mechanics
title_fullStr	Numerical bootstrap in quantum mechanics
title_full_unstemmed	Numerical bootstrap in quantum mechanics
title_sort	numerical bootstrap in quantum mechanics
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/3753759c28454e359db8e8fa62bde8b9
work_keys_str_mv	AT jyotirmoybhattacharya numericalbootstrapinquantummechanics AT diptarkadas numericalbootstrapinquantummechanics AT sayankumardas numericalbootstrapinquantummechanics AT ankitkumarjha numericalbootstrapinquantummechanics AT moulindukundu numericalbootstrapinquantummechanics
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Numerical bootstrap in quantum mechanics

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