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Introduction to quantum physics for mathematicians
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CONTENTS Lecture 1. Classical mechanics 1 Lecture 2. Conservation laws 11 Lecture 3. Poisson structures 20 Lecture 4. Observables and states 34 Lecture 5. Operators in Hilbert space 47 Lecture 6. Canonical quantization 63 Lecture 7. Harmonic oscillator 82 Lecture 8. Central potential 92 Lecture 9. The Schrodinger representation 104 Lecture 10. Abelian varieties and theta functions 117 Lecture 11. Fibre G-bundles 137 Lecture 12. Gauge fields 149 Lecture 13. Klein-Gordon equation 163 Lecture 14. Yang-Mills equations 178 Lecture 15. Spinors 194 Lecture 16. The Dirac equation 209 Lecture 17. Quantization of free fields 225 Lecture 18. Path integrals 243 Lecture 19. Feynman diagrams 259 Lecture 20. Quantization of Yang-Mills fields 274 Literature 285 Download link:http://www.isload.com.cn/store/sqq3cs0abwrtb [ Last edited by zhq025 on 2008-1-16 at 10:29 ] |
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