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Quantum mechanics in the geometry of space-time : elementary theory / Roger Boudet.
Springer Nature - Springer Physics and Astronomy eBooks 2011 English International Available online
View online- Format:
- Book
- Author/Creator:
- Boudet, Roger.
- Series:
- SpringerBriefs in physics.
- SpringerBriefs in physics, 2191-5423
- Language:
- English
- Subjects (All):
- Space and time.
- Quantum field theory.
- Quantum theory.
- Quantum gravity.
- Physical Description:
- 1 online resource (125 p.)
- Edition:
- 1st ed. 2011.
- Place of Publication:
- Heidelberg : Springer, 2011.
- Language Note:
- English
- Summary:
- This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the “number i” in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory and this way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are considered.The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use of the complex and the real languages and allows the reader acquainted with the first language to make a step by step translation to the second one.
- Contents:
- pt. 1. The real geometrical algebra, or, Space-time algebra : comparison with the language of the complex matrices and spinors
- pt. 2. The U(1) gauge in complex and real languages, geometrical properties and relation with the spin and the energy of a particle of spin 1/2
- pt. 3. Geometrical properties of the Dirac theory of the electron
- pt. 4. The SU(2) gauge and the Yang-Mills theory in complex and real languages
- pt. 5. The SU(2) x U(1) gauge in complex and real languages
- pt. 6. The Glashow-Salam-Weinberg electroweak theory
- pt. 7. On a change of SU(3) into three SU(2) x U(1)
- pt. 8. Addendum
- pt. 9. Appendices.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 3-642-19199-1
- OCLC:
- 747105249
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