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

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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Bibliographic Details
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
Description
Summary: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.
ISSN:1336-1376
1804-3119

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