Skip to main content
SpringerLink
Log in

On the Use of Quantum Algebras in Rotation-Vibration Spectroscopy

  • Chapter
Modern Group Theoretical Methods in Physics

Part of the book series: Mathematical Physics Studies ((MPST,volume 18))

Abstract

A two-parameter deformation of the Lie algebra u2 is used, in conjunction with the rotor system and the oscillator system, to generate a model for rotation-vibration spectroscopy of molecules and nuclei.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kulish, P.P. and Reshetikhin, N.Yu. (1981) Zap. Sem. LOMI 101, 101

    MathSciNet  Google Scholar 

  2. Kulish, P.P. and Reshetikhin, N.Yu. (1981) [(1983) J. Soviet. Math. 23, 2435];

    Article  Google Scholar 

  3. Sklyanin, E.K. (1982) Funkt. Anal. Pril. 16, 27

    MathSciNet  Google Scholar 

  4. Sklyanin, E.K. [(1982) Funct. Anal. Appl. 16, 262];

    MathSciNet  Google Scholar 

  5. Drinfeld, V.G. (1985) Soviet. Math. Dokl. 32, 254;

    Google Scholar 

  6. Drinfeld, V.G. (1986) in: Proc. Int. Congr. Math., Ed., A.M. Gleason (AMS, Providence, RI) pp. 798;

    Google Scholar 

  7. Jimbo, M. (1985) Lett. Math. Phys. 10, 63;

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Jimbo, M. (1986) Commun. Math. Phys. 102, 537;

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Woronowiccz, S.L. (1987) Publ. RIMS-Kyoto 23, 117;

    Article  Google Scholar 

  10. Woronowiccz, S.L. (1987) Commun. Math. Phys. 111, 613

    Article  ADS  Google Scholar 

  11. Sudbery, A. (1990) J. Phys. A: Math. Gen. 23, L697

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Demidov, E.E., Manin, Yu.I., Mukhin, E.E. and Zhdanovich, D.V. (1990) Prog. Theo. Phys. Suppl. 102, 203

    Article  MathSciNet  ADS  Google Scholar 

  13. Reshetikhin, N. (1990) Lett. Math. Phys. 20, 331

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Fairlie, D.B. and Zachos, C.K. (1991) Phys. Lett. B 256, 43

    Article  MathSciNet  ADS  Google Scholar 

  15. Schirrmacher, A., Wess, J. and Zumino, B. (1991) Z. Phys. C 49, 317

    Article  MathSciNet  Google Scholar 

  16. Vokos, S.T. (1991) J. Math. Phys. 32, 2979

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Chakrabarti, R. and Jagannathan, R. (1991) J. Phys. A: Math. Gen. 24, L711

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Dobrev, V.K. (1992) J. Math. Phys. 33, 3419

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Kibler, M.R. (1993) in: Symmetry and Structural Properties of Condensed Matter, Eds., W. Florek, D. Lipiński and T. Lulek (World Scientific, Singapore) pp. 445

    Google Scholar 

  20. Chakrabarti, R. and Jagannathan, R. (1994) J. Phys. A: Math. Gen. 27, 2023

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Kibler, M.R., Asherova, R.M. and Smirnov, Yu.F. (1994) preprint LYCEN 9439

    Google Scholar 

  22. Jagannathan, R. and Van der Jeugt, J. (1994) preprint hep-th/9411200

    Google Scholar 

  23. Iwao, S. (1990) Prog. Theor. Phys. 83, 363

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. Raychev, P.P., Roussev, R.P. and Smirnov, Yu.F. (1990) J. Phys. G: Nucl. Phys. 16, L137

    Article  ADS  Google Scholar 

  25. Celeghini, E., Giachetti, R., Sorace, E. and Tarlini, M. (1992) Phys. Lett. B 280, 180

    Article  ADS  Google Scholar 

  26. Bonatsos, D., Raychev, P.P., Roussev, R.P. and Smirnov, Yu.F. (1990) Chem. Phys. Lett. 175, 300

    Article  ADS  Google Scholar 

  27. Bonatsos, D., Raychev, P.P. and Faessler, A. (1991) Chem. Phys. Lett. 178, 221

    Article  ADS  Google Scholar 

  28. Bonatsos, D., Argyres, E.N. and Raychev, P.P. (1991) J. Phys. A: Math. Gen. 24, L403

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. Chang, Z., Guo, H.Y. and Yan, H. (1991) Phys. Lett. A 156, 192

    Article  MathSciNet  ADS  Google Scholar 

  30. Chang, Z. and Yan, H. (1991) Phys. Lett. A 158, 242

    Article  MathSciNet  ADS  Google Scholar 

  31. Pan, F.Z. (1993) J. Phys. B: At. Mol. Opt. Phys. 26, L47

    Article  ADS  Google Scholar 

  32. Barbier, R., Meyer, J. and Kibler, M. (1994) J. Phys. G: Nucl. Phys. 17, L67

    Google Scholar 

  33. Kibler, M. (1994) in: Generalized Symmetries in Physics, Eds., H.-D. Doebner, V.K. Dobrev and A.G. Ushveridze (World Scientific, Singapore) pp. 55

    Google Scholar 

  34. Barbier, R., Meyer, J. and Kibler, M. (1994) preprint LYCEN 9437

    Google Scholar 

  35. Katriel, J. and Kibler, M. (1992) J. Phys. A: Math. Gen. 25, 2683

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. Dunham, J.L. (1932) Phys. Rev. 41, 721

    Article  ADS  Google Scholar 

  37. Van Roosmaleen, O.S., Levine, R.D. and Dieperink, A.E. (1983) Chem. Phys. Lett. 101, 512

    Article  ADS  Google Scholar 

  38. Rideau, G. (1992) Lett. Math. Phys. 24, 147

    Article  MathSciNet  ADS  MATH  Google Scholar 

  39. Kibler, M., Campigotto, C. and Smirnov, Yu.F. (1994) in: Proceedings of the International Workshop “Symmetry Methods in Physics, in Memory of Professor Ya.A. Smorodinsky”, Eds., A.N. Sissakian, G.S. Pogosyan and S.I. Vinitsky, (JINR, Dubna, Russia) pp. 246

    Google Scholar 

  40. Smirnov, Yu.F., Tolsto, V.N. and Kharitonov, Yu.I. (1991) Sov. J. Nucl. Phys. 53, 593

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Physique Nucléaire de Lyon, IN2P3-CNRS et Université Claude Bernard, 43 Boulevard du 11 Novembre 1918, F-69622, Villeurbanne Cedex, France

    R. Barbier & M. Kibler

Authors
  1. R. Barbier
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Kibler
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. L.P.T.M., Université Denis Diderot, Paris, France

    J. Bertrand , J.-P. Gazeau , M. Irac-Astaud  & D. Sternheimer , ,  & 

  2. Université de Bourgogne, Dijon, France

    M. Flato

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Barbier, R., Kibler, M. (1995). On the Use of Quantum Algebras in Rotation-Vibration Spectroscopy. In: Bertrand, J., Flato, M., Gazeau, JP., Irac-Astaud, M., Sternheimer, D. (eds) Modern Group Theoretical Methods in Physics. Mathematical Physics Studies, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8543-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8543-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4598-0

  • Online ISBN: 978-94-015-8543-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation