Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics

Using results of number theory we develop an approximate statistical model of energy levels of particles in a three-dimensional infinite potential well depending on whether there is exactly one particle or more than one particles in the well. The model is used to perform a statistical inference abo...

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Main Authors:	Pavel Jahoda, Jan Kracik, David Ulcak
Format:	Article
Language:	English
Published:	VSB-Technical University of Ostrava 2017-01-01
Series:	Advances in Electrical and Electronic Engineering
Subjects:	asymptotic density bayesian inference number theory potential well.
Online Access:	http://advances.utc.sk/index.php/AEEE/article/view/2248

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spelling	doaj-bc93a381d9b2416fa1288f82431f7db32021-10-11T08:03:06ZengVSB-Technical University of OstravaAdvances in Electrical and Electronic Engineering1336-13761804-31192017-01-0115229630310.15598/aeee.v15i2.2248899Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian StatisticsPavel Jahoda0Jan Kracik1David Ulcak2Department of Applied Mathematics, Faculty of Electrical Engineering and Computer Science, VSB-Technical university of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech RepublicDepartment of Applied Mathematics, Faculty of Electrical Engineering and Computer Science, VSB-Technical university of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech RepublicDepartment of Applied Mathematics, Faculty of Electrical Engineering and Computer Science, VSB-Technical university of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech RepublicUsing results of number theory we develop an approximate statistical model of energy levels of particles in a three-dimensional infinite potential well depending on whether there is exactly one particle or more than one particles in the well. The model is used to perform a statistical inference about the number of particles in the well. The estimation procedure is developed within the Bayesian framework.http://advances.utc.sk/index.php/AEEE/article/view/2248asymptotic densitybayesian inferencenumber theorypotential well.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pavel Jahoda Jan Kracik David Ulcak
spellingShingle	Pavel Jahoda Jan Kracik David Ulcak Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics Advances in Electrical and Electronic Engineering asymptotic density bayesian inference number theory potential well.
author_facet	Pavel Jahoda Jan Kracik David Ulcak
author_sort	Pavel Jahoda
title	Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics
title_short	Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics
title_full	Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics
title_fullStr	Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics
title_full_unstemmed	Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics
title_sort	energetic spectrum of a particle in three-dimensional infinite potential square well in point of view of number theory and bayesian statistics
publisher	VSB-Technical University of Ostrava
series	Advances in Electrical and Electronic Engineering
issn	1336-1376 1804-3119
publishDate	2017-01-01
description	Using results of number theory we develop an approximate statistical model of energy levels of particles in a three-dimensional infinite potential well depending on whether there is exactly one particle or more than one particles in the well. The model is used to perform a statistical inference about the number of particles in the well. The estimation procedure is developed within the Bayesian framework.
topic	asymptotic density bayesian inference number theory potential well.
url	http://advances.utc.sk/index.php/AEEE/article/view/2248
work_keys_str_mv	AT paveljahoda energeticspectrumofaparticleinthreedimensionalinfinitepotentialsquarewellinpointofviewofnumbertheoryandbayesianstatistics AT jankracik energeticspectrumofaparticleinthreedimensionalinfinitepotentialsquarewellinpointofviewofnumbertheoryandbayesianstatistics AT davidulcak energeticspectrumofaparticleinthreedimensionalinfinitepotentialsquarewellinpointofviewofnumbertheoryandbayesianstatistics
_version_	1716828053278031872

Energetic Spectrum of a Particle in Three-dimensional Infinite Potential Square Well in Point of View of Number Theory and Bayesian Statistics

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