Author | Waerden, B. L. van der. author |
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Title | Group Theory and Quantum Mechanics [electronic resource] / by B. L. van der Waerden |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1974 |
Connect to | http://dx.doi.org/10.1007/978-3-642-65860-0 |
Descript | VIII, 211 p. online resource |
1. Fundamental Notions of Quantum Mechanics -- ยง 1. Wave Functions -- ยง 2. Hilbert Spaces -- ยง 3. Linear Operators -- ยง 4. Hypermaximal Operators -- ยง 5. Separation of Variables -- ยง 6. One Electron in a Central Field -- ยง 7. Perturbation Theory -- ยง 8. Angular Momentum and Infinitesimal Rotations -- 2. Groups and Their Representations -- ยง 9. Linear Transformations -- ยง 10. Groups -- ยง 11. Equivalence and Reducibility of Representations -- ยง 12. Representations of Abelian Groups. Examples -- ยง 13. Uniqueness Theorems -- ยง 14. Kroneckerโs Product Transformation -- ยง 15. The Operators Commuting with all Operators of a Given Representation -- ยง 16. Representations of Finite Groups -- ยง 17. Group Characters -- 3. Translations, Rotations and Lorentz Transformations -- ยง 18. Lie Groups and their Infinitesimal Transformations -- ยง 19. The Unitary Groups SU(2) and the Rotation Group O3 -- ยง 20. Representations of the Rotation Group O3 -- ยง 21. Examples and Applications -- ยง 22. Selection and Intensity Rules -- ยง 23. The Representations of the Lorentz Group -- IV. The Spinning Electron -- ยง 24. The Spin -- ยง 25. The Wave Function of the Spinning Electron -- ยง 26. Diracโs Wave Equation -- ยง 27. Two-Component Spinors -- ยง 28. The Several Electron Problem. Multiplet Structure. Zeeman Effect -- V. The Group of Permutations and the Exclusion Principle -- ยง 29. The Resonance of Equal Particles -- ยง 30. The Exclusion Principle and the Periodical System -- ยง 31. The Eigenfunctions of the Atom -- ยง 32. The Calculation of the Energy Values -- ยง 33. Pure Spin Functions and their Transformation under Rotations and Permutations -- ยง 34. Representations of the Symmetric Group Sn -- VI. Molecule Spectra -- ยง 35. The Quantum Numbers of the Molecule -- ยง 36. The Rotation Levels -- ยง 37. The Case of Two Equal Nuclei -- Author and Subject Index