Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

Author(s): Peter Enders

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This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and ...
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Foreword  promotion: free to download

Pp. i-ii (2)

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Preface  promotion: free to download

Pp. iii-xi (9)

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Introduction

Pp. 1-19 (19)

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Newton-Eulerian Axiomatic: The Notion of State

Pp. 21-58 (38)

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Alternative Axiomatic: Energy Conservation

Pp. 59-73 (15)

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Possible and Impossible (Momentum) Configurations

Pp. 74-77 (4)

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Why Quantum Mechanics?

Pp. 79-88 (10)

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A Hierarchy of Selection Problems

Pp. 89-96 (8)

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Non-Classical Selection of the Physical Solutions

Pp. 110-127 (18)

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Additional Results

Pp. 128-140 (13)

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Conservation and Change of Stationary States

Pp. 142-150 (9)

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Equation of Motion

Pp. 151-158 (8)

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Conservation Laws

Pp. 159-165 (7)

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Applications

Pp. 166-175 (10)

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General Considerations

Pp. 176-178 (3)

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Space-time Symmetries

Pp. 179-198 (20)

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Gauge Symmetry

Pp. 199-212 (14)

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Permutation Symmetry

Pp. 213-224 (12)

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Introduction

Pp. 245-246 (2)

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Coupled Classical Oscillators

Pp. 247-250 (4)

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Quantization of the String

Pp. 256-260 (5)

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Quantization of the Free Electromagnetic Field

Pp. 261-268 (8)

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Summary and Conclusions

Pp. 271-280 (10)

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Open Questions – Suggestions

Pp. 281-284 (4)

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Points of Extension or Generalization

Pp. 285-292 (8)

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References And Further Reading  promotion: free to download

Pp. 293-346 (54)

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Subject Index  promotion: free to download

Pp. 347-351 (5)

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