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Prog. Theor. Phys. Vol. 83 No. 3 (1990) pp. 368-372

[ Full Text PDF : FREE ACCESS (309K) ]

Letters

Spectroscopy in Witten's Quantum Universal Enveloping Algebra of SU2 and Strength of Deformation of Its Representation Space

Syurei Iwao

Department of Physics, College of Liberal Arts
and
Graduate School of Sci. and Tech., Kanazawa University, Kanazawa 920

(Received September 29, 1989)

Abstract:

The q deformed quadratic Casimir operator in the angular momentum space is, in general, expressed by the generally covariant and gauge invariant eigenvalue in its deformed representation space with strength characterized by q-1, on the quantum universal enveloping algebra of SU2. Some immediately calculable examples are discussed.


URL : http://ptp.ipap.jp/link?PTP/83/368/
DOI : 10.1143/PTP.83.368

[ Full Text PDF : FREE ACCESS (309K) ] Citation:

References:

  1. E. Witten, Preprint, IASSNS-HEP-89/32 (May, 1989), and references cited therein.
  2. E. Witten, Commun. Math. Phys. 121 (1989), 351, [CrossRef]and references cited therein.
  3. S. Iwao, Preprint, HPICK-0138/89 (August, 1989).
  4. S. Iwao, Preprint, HPICK-0140/89 (Nov., 1989), under preparation.
  5. Ed. C. M. Lederer and V. S. Shirley, Tables of Isotopes, 7th ed. (John Wiley, 1978).
  6. Ed. National Observatory of Astronomy, Tables of Annual Science, in Japanese (Oct., 1989).
  7. L. H. Kauffman, On Knots (Princeton Univ. Press, 1987).
  8. P. Ring and P. Schuck, The Nuclear Many Body Problem (Springer Verlag, 1980).
  9. Herzberg, Molecular Spectra and Molecular Structure, I, 2nd ed. (Van Nostrand, 1950).
  10. J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley, 1952).
  11. A. de-Shalit and I. Talmi, Nuclear Shell Theory (Acad. Press, 1963).
  12. V. G. Knizhnik and A. B. Zamolodchikov, Nucl. Phys. B247 (1984), 83.
  13. E. Witten, Nucl. Phys. B322 (1989), 629.
  14. V. Bargmann and E. P. Wigner, Proc. Natl. Acad. Sci. USA 34 (1946), 211.
  15. S. Iwao and K. Katsube, under preparation.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 84 No. 3 (1990) pp. 526-539 :
    Atomic Energy Levels and Gyromagnetic Ratios in SU2 Quantum Universal Enveloping Algebra
    Syurei Iwao
  2. Progress of Theoretical Physics Vol. 84 No. 5 (1990) pp. 961-973 :
    Meson and Baryon Families as Vibronic States in sl(2) Quantum Universal Enveloping Algebra
    Syurei Iwao and Yasuji Ono
  3. Progress of Theoretical Physics Vol. 86 No. 1 (1991) pp. 167-182 :
    Magnetic Moments of Nuclei and g Factors for Baryons and Quarks in SU2 Quantum Universal Enveloping Algebra
    Syurei Iwao

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