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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
VSB-Technical University of Ostrava
2017-01-01
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| Series: | Advances in Electrical and Electronic Engineering |
| Subjects: | |
| Online Access: | http://advances.utc.sk/index.php/AEEE/article/view/2248 |
| _version_ | 1797826994020286464 |
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| author | Pavel Jahoda Jan Kracik David Ulcak |
| author_facet | Pavel Jahoda Jan Kracik David Ulcak |
| author_sort | Pavel Jahoda |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-09T12:41:08Z |
| format | Article |
| id | doaj.art-bc93a381d9b2416fa1288f82431f7db3 |
| institution | Directory Open Access Journal |
| issn | 1336-1376 1804-3119 |
| language | English |
| last_indexed | 2024-04-09T12:41:08Z |
| publishDate | 2017-01-01 |
| publisher | VSB-Technical University of Ostrava |
| record_format | Article |
| series | Advances in Electrical and Electronic Engineering |
| spelling | doaj.art-bc93a381d9b2416fa1288f82431f7db32023-05-14T20:50:11ZengVSB-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. |
| 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. |
| title | 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_short | 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 |
| topic | asymptotic density bayesian inference number theory potential well. |
| url | http://advances.utc.sk/index.php/AEEE/article/view/2248 |
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