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American Journal of Innovative Research & Applied Sciences
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| | ARTICLES | Am. J. innov. res. appl. sci. Volume 6, Issue 1, Pages 20-28 (January 2018) |
| Research Article |
American Journal of innovative
Research & Applied Sciences
Research & Applied Sciences
ISSN 2429-5396 (Online)
OCLC Number: 920041286
OCLC Number: 920041286
|
| JANUARY | VOLUME 6 | N° 1 | 2018 |
Authors Contact
*Correspondant author and authors Copyright © 2017:
| Mubarak Dirar Abd Allah 1* | Ebtisam Abd-Alla Mohamed 2,3 | Ibrahim Adam Ibrahim Hammad 3 | Ibrahim Alfaki 1 | and | Ahmed Alhassen Elfaki 1 |
*Correspondant author and authors Copyright © 2017:
| Mubarak Dirar Abd Allah 1* | Ebtisam Abd-Alla Mohamed 2,3 | Ibrahim Adam Ibrahim Hammad 3 | Ibrahim Alfaki 1 | and | Ahmed Alhassen Elfaki 1 |
Affiliation.
1. Sudan University of Science and Technology | Department of Physics | Khartoum | Sudan |
2. Jazan University | Department of Physics | Jazan | Saudi Arabia |
3. Kordofan University | Department of Physics | El-Obeid | Sudan |
3. Alzaiem Alazhari University | Department of Physics | Omdurman | Sudan |
1. Sudan University of Science and Technology | Department of Physics | Khartoum | Sudan |
2. Jazan University | Department of Physics | Jazan | Saudi Arabia |
3. Kordofan University | Department of Physics | El-Obeid | Sudan |
3. Alzaiem Alazhari University | Department of Physics | Omdurman | Sudan |
This article is made freely available as part of this journal's Open Access: ID | Mubarak-ManuscriptRef.1-ajira091217 |
ABSTRACT
Background: At the end of the nineteenth century, physics consisted essentially of classical mechanics, the theory of electromagnetism, and thermodynamics. Classical mechanics describes the behavior of only few particles; but fails to describe a bulk matter consisting of large number of particles. Statistical mechanics treats matter in bulk. Objectives: this work mainly aims to derive Maxwell – Boltzmann distribution, Fermi – Dirac and Bose – Einstein distribution laws depends on the relation between the number of particles and chemical potential beside some thermodynamic relations concerning probability. Method: The ordinary quantum mechanical wave function for free particle was differentiated with respect to energy and momentum. Results: The derivation of statistical laws from quantum wave function shows the general nature of quantum laws. Conclusion: the Maxwell – Boltzmann distribution, Fermi – Dirac and Bose – Einstein distribution are derived.
Key words: quantum mechanics, wave function, Maxwell – Boltzmann distribution, Fermi – Dirac distribution, Bose – Einstein distribution.
Background: At the end of the nineteenth century, physics consisted essentially of classical mechanics, the theory of electromagnetism, and thermodynamics. Classical mechanics describes the behavior of only few particles; but fails to describe a bulk matter consisting of large number of particles. Statistical mechanics treats matter in bulk. Objectives: this work mainly aims to derive Maxwell – Boltzmann distribution, Fermi – Dirac and Bose – Einstein distribution laws depends on the relation between the number of particles and chemical potential beside some thermodynamic relations concerning probability. Method: The ordinary quantum mechanical wave function for free particle was differentiated with respect to energy and momentum. Results: The derivation of statistical laws from quantum wave function shows the general nature of quantum laws. Conclusion: the Maxwell – Boltzmann distribution, Fermi – Dirac and Bose – Einstein distribution are derived.
Key words: quantum mechanics, wave function, Maxwell – Boltzmann distribution, Fermi – Dirac distribution, Bose – Einstein distribution.
DERIVATION OF STATISTICAL PHYSICAL LAWS FROM QUANTUM MECHANICS
| Mubarak Dirar Abd Allah 1* | Ebtisam Abd-Alla Mohamed 2,3 | Ibrahim Adam Ibrahim Hammad 3 | Ibrahim Alfaki 1 | and | Ahmed Alhassen Elfaki 1 |. Am. J. innov. res. appl. sci. 2018; 6(1):20-28.
| PDF FULL TEXT | | Received | 08 December 2017 | | Accepted | 24 January 2018 | | Published 27 January 2018 |
| Mubarak Dirar Abd Allah 1* | Ebtisam Abd-Alla Mohamed 2,3 | Ibrahim Adam Ibrahim Hammad 3 | Ibrahim Alfaki 1 | and | Ahmed Alhassen Elfaki 1 |. Am. J. innov. res. appl. sci. 2018; 6(1):20-28.
| PDF FULL TEXT | | Received | 08 December 2017 | | Accepted | 24 January 2018 | | Published 27 January 2018 |