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Conceptual Study of Basic Principles of Quantum Mechanics

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REPUBLIQUE ALGERIENNE DEMOCRATIQUE ET POPULAIRE Ministère de l’Enseignement Supérieure et de la Recherche Scientifique

THÈSE

Présentée à

Ecole Normale Supérieure Kouba Département de Physique En vue de l’obtention du diplôme de

Doctorat en sciences

Spécialité : Didactique des Sciences

Option : Physique Intitulée

Conceptual Study of Basic Principles of Quantum Mechanics

Par

LADJ RABAH

Soutenue le

Devant la commission d’examen composée de:

MEDJADI Djameleddine Pr ENS-Kouba Président

BOUARISSA Nadir Pr UMB M’sila Examinateur

BOUMGHAR Said MCA ENS Kouba Examinateur

EL-JAMALI Said Pr CRMEF-Casablanca Examinateur

HAMOUDI Makhlouf MCA U Alger Invité

BELARBI Tayeb Pr Univ. Alger 2 Co-Directeur

KENDIL Djamel Pr ENS-Kouba Directeur

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TABLE OF CONTENENTS

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Abstracts in Arabic and English languages:

Pages: 76 -

Part One: Epistemological Study

INTRODUCTION Page: 9

Chapter one

I-How Quantum Mechanics was developed (back grand). Pages: 10-13 II- Basic Principles of Classical Physics compared to in Quantum Mechanics.

Pages: 14-16

Chapter two

Copenhagen’s and Many World’s Interpretations of Quantum Mechanics

I-Introduction Page: 18 II- Copenhagen’s Interpretation Pages: 19-25 III- Many worlds’ interpretation Pages: 26-29 a) Our Modest Modelling of the Hugh Everett interpretation. Pages: 29-30 b) Applications of Copenhagen’s and Many world’s interpretations.

Pages: 31-36 c) Original modest comment to Copenhagen and Everett interpretations.

Pages: 37-38

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Chapter three Other interpretations.

I-

Introduction Pages: 40-43 a) de Broglie Böhm theory or de Broglie Böhm Interpretation. Pages: 43-44

b) Consistent Histories Interpretation. Pages : 44-45 c)Transactionnel Interpretation. Pages: 45-46

d) Objective Collapse Theories interpretation

.

Pages: 47

II-Comparison of above interpretations Page: 48

Part Two: Educational (Didactic) Study

Chapter one

General and Quantum Physics Education

I-General physics Education. Pages: 51-52 II- Quantum Mechanics Education Pages: 53-54

Chapter two

Investigation and Results of our work;

A-First Published investigation

I

-Introduction, Page: 56 II- Multiple-choice’s questions; Pages:57-63 III-Questionnaire’s results and conclusion: Page: 64 B-Second Published investigation

I-Introduction Page: 65 II-Description of the Questionnaire Pages:65-66

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III- Questionnaire Results Page : 66-67 IV- Discussions and conclusion Pages : 67-68

Chapter three Comparison of our work results with other results work.

I- introduction; Page: 70 II-1, 2, 3, 4 others research results; Pages: 71-75 III-conclusion; Page 76

Chapter four Conclusions and suggestions of our work

I –Suggestions Page:78-79 II-Conclusion Page: 80 III-References Pages: 81-86

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7 Abstract

Quantum mechanics describes the behavior of the quantum objects, but the description and interpretation of its basic principles: (nature of the wave, interpretation of superposition principle, complementary principle, and uncertainly principle), have had many debates concerned their meanings and their interpretations between scientists, since the beginning of its appearance until today.

Many different interpretations between many schools and scientists have emerged about the descriptions and meanings of quantum mechanics. Until now there are about thirteen schools of interpretation about the basic concepts of quantum mechanics. Through our experience in teaching quantum theory, we concluded that its teaching is not just deriving beautiful and logical equations and relations related to the subject, but we believe that each step of deriving those equations, or relations should be followed by a deep discussions and interpretations of concepts and their meanings. Because of difficulties inherent to the subject that are facing the students in their understanding of the concepts and principles of quantum mechanics, and in order to focus on the problematic; for that, a deep epistemological study was done for the most accepted and common interpretations favorite to most physicists,

”Copenhagen and many worlds’ interpretations”. In our present contribution, a modest comment is presented to the above schools and then followed by some suggested ways in order to provide help for better teaching the field. To clarify the issue, the famous example “particle in an infinite square potential well” was solved and discussed using the point of views of above the schools, with the help of our modest modeling for many worlds interpretation. For the educational part, and again for this purpose and in order to clarify and focus on the problematic, a questionnaire sheets were presented to homogenous sample of students of the Algerian University of third and fifth year in Physics. The results of the surveys from the student’s answers, regarding the understanding of the basic principles, and concepts of quantum mechanics, were compared to other similar survey results done within international universities. But unfortunately we concluded that, the basic concepts of quantum mechanics should be revised.

Note: the questionnaires were discussed with some experts in education of science before being presented to the students.

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