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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 
ISSN  2429-5396 (Online)
OCLC Number: 920041286
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| 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 |
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 |
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.
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.

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| Received | 08 December  2017 |          | Accepted | 24 January 2018 |            | Published 27 January 2018 |