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Group Theory and Its Applications Volume II

Author: Ernest M Loebl
Publisher: New York : Academic Press, 1971.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Group Theory and Its Applications : Volume II.
New York :
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ernest M Loebl
ISBN: 9781483263786 1483263789
OCLC Number: 898769255
Description: 1 online resource (327 pages)
Contents: Front Cover; Group Theory and its Applications; Copyright Page; Table of Contents; List of Contributors; Preface; Contents of Volume I; Chapter 1. The Representations and Tensor Operators of the Unitary Groups U(n); I. Introduction: The Connection between the Representation Theory of S(n) and That of U(n), and Other Preliminaries; II. The Group SU(2) and Its Representations; III. The Matrix Elements for the Generators of U(n); IV. Tensor Operators and Wigner Coefficients on the Unitary Groups; REFERENCES; Chapter 2. Symmetry and Degeneracy; I. Introduction; II. Symmetry of the Hydrogen Atom. III. Symmetry of the Harmonic OscillatorIV. Symmetry of Tops and Rotators; V. Bertrand's Theorem; VI. Non-Bertrandian Systems; VII. Cyclotron Motion; VIII. The Magnetic Monopole; IX. Two Coulomb Centers; X. Relativistic Systems; XI. Zitterbewegung; XII. Dirac Equation for the Hydrogen Atom; XIII. Other Possible Systems and Symmetries; XIV. Universal Symmetry Groups; XV. Summary; Acknowledgments; REFERENCES; Chapter 3. Dynamical Groups in Atomic and Molecular Physics; I. Introduction; II. The Second Vector Constant of Motion in Kepler Systems. III. The Four-Dimensional Orthogonal Group and the Hydrogen AtomIV. Generalization of Fock's Equation: O(5) as a Dynamical Noninvariance Group; V. Symmetry Breaking in Helium; VI. Symmetry Breaking in First-Row Atoms; VII. The Conformai Group and One-Electron Systems; VIII. Conclusion; Acknowledgments; REFERENCES; Chapter 4. Symmetry Adaptation of Physical States by Means of Computers; I. Introduction; II. Constants of Motion and the Unitary Group of the Hamiltonian; III. Separation of Hilbert Space with Respect to the Constants of Motion. IV. Dixon's Method for Computing Irreducible CharactersV. Computation of Irreducible Matrix Representatives; VI. Group Theory and Computers; REFERENCES; Chapter 5. Galilei Group and Galilean Invariance; I. Introduction; II. The Galilei Group and Its Lie Algebra; III. The Extended Galilei Group and Lie Algebra; IV. Representations of the Galilei Groups; V. Applications to Classical Physics; VI. Applications to Quantum Physics; REFERENCES; Author Index; Subject Index.
Responsibility: edited by Ernest M. Loebl.

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