Group theory and its application to the quantum mechanics of atomic spectra /
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Main Authors: | |
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Corporate Authors: | |
Published: |
Academic Press,
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Publisher Address: | New York : |
Publication Dates: | 1959. |
Literature type: | eBook |
Language: |
English German |
Edition: | Expanded and improved ed. |
Series: |
Pure and applied physics,
v. 5 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/bookseries/00798193/5 |
Carrier Form: | 1 online resource (372 pages) : illustrations. |
ISBN: |
9780323152785 0323152783 1483275760 9781483275765 |
Index Number: | QA171 |
CLC: | O152 |
Contents: | Vectors and matrices -- Generalizations -- The principal axis transformation -- The elements of quantum mechanics -- Perturbation theory -- Transformation theory and the bases for the statistical interpretation of quantum mechanics -- Abstract group theory -- Invariant subgroups -- The general theory of representations -- Continuous groups -- Representations and eigenfunctions -- The algebra of representation theory -- The symmetric group -- The rotation groups -- The three-dimensional pure rotation group -- The representations of the direct product -- Selection rules and the splitting of spectral lines -- Partial determination of eigenfunctions from their transformation properties -- Electron spin -- The total angular momentum quantum number -- The fine structure of spectral lines -- Selection and intensity rules with spin -- Racah coefficients -- The building-up principle -- Time inversion -- Physical interpretation and classical limits of representation coefficients, three- and six-j symbols. |