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The Isospin Group (Isobaric Spin)

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Quantum Mechanics

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Abstract

The isobaric spin (isospin) group is of great importance in nuclear physics as well as in the theory of elementary particles, and we will require it repeatedly in the following discussions. In part, we will follow the historical route, but then quickly come to the modern applications of the isospin group.

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References

  1. Werner Heisenberg: Zeitschrift für Physik 77, 1 (1932).

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  2. These four-component Dirac spinors are discussed in Vol. 3 of this series, Relativistic Quantum Mechanics (Springer, Berlin, Heidelberg 1989)

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  3. See Vol. 1 of this series, Quantum Mechanics-An Introduction (Springer, Berlin. Heidelberg 1989)

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  4. For the last transformation in (5.14) see also Exercise 3.8

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  5. For more information about the deuteron and the usage of the isobaric spin formalism see, e.g. J.M. Eisenberg, W. Greiner: Microscopic Theory of the Nucleus (2nd ed.), Nuclear Theory, Vol. 3, (North-Holland, Amsterdam 1976).

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  6. See J.D. Jackson: Classical Electrodynamics, 2nd ed. (Wiley, New York 1975) or W. Greiner: Theoretische Physik III, Klassische Elektrodynamik (Harri Deutsch, Frankfurt 1986)

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  7. See, for example, M. Rotenberg, R. Bivins, N. Metropolis and J.K. Wooten, Jr.: The 3j-and 6j-Symbols (Technology press, Cambridge, Mass. 1959).

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  8. Refer to Vol. 1 in this series, Quantum Mechanics I-An Introduction (Springer, Berlin, Heidelberg 1989) Chap. 10.

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  9. See textbooks on algebra of angular momentum, for example, M.E. Rose: Elementary Theory of Angular Momentum (John Wiley, New York 1957).

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  10. See M. Goldstein: Classical Mechanics 2nd ed. (Addison-Wesley, Reading 1980) or W. Greiner: Theoretische Physik J, Mechanik I (Harri Deutsch, Frankfurt 1989) Chap. 34.

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  11. See for example M.E. Rose: Elementary Theory of Angular Momentum (Wiley, New York 1957).

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Authors and Affiliations

  1. Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität Frankfurt, Postfach 111932, D-60054, Frankfurt am Main, Germany

    Professor Dr. Walter Greiner

  2. Robert-Mayer-Strasse 8-10, D-60325, Frankfurt am Main, Germany

    Professor Dr. Walter Greiner

  3. Physics Department, Duke University, P. O. Box 90305, Durham, NC, 27708-0305, USA

    Professor Dr. Berndt Müller

Authors
  1. Professor Dr. Walter Greiner
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  2. Professor Dr. Berndt Müller
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© 1994 Springer-Verlag Berlin Heidelberg

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Greiner, W., Müller, B. (1994). The Isospin Group (Isobaric Spin). In: Quantum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57976-9_5

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  • DOI: https://doi.org/10.1007/978-3-642-57976-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58080-5

  • Online ISBN: 978-3-642-57976-9

  • eBook Packages: Springer Book Archive

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