Skip to main content
SpringerLink
Log in

On a model for rotational tunneling with a \(C_{6}\)-space-time symmetric analog

  • Original Paper
  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

We analyze the simple model of a rigid rotor with \(C_{3}\) symmetry and show that the use of parity simplifies considerably the calculation of its eigenvalues. We also consider a non-Hermitian space-time-symmetric counterpart that exhibits real eigenvalues and determine the exceptional point at which the antiunitary symmetry is broken.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. S. Clough, A. Heidemann, A.H. Horsewill, M.N.J. Paley, Z. Phys. B Condens. Matter 55, 1 (1984)

    Article  CAS  Google Scholar 

  2. M. Prager, A. Heidemann, Chem. Rev. 87, 2933 (1997)

    Article  Google Scholar 

  3. A.J. Horsewill, Prog. Nucl. Mag. Reson. Spectrosc. 35, 359 (1999)

    Article  CAS  Google Scholar 

  4. W. Häusler, A. Hüller, Z. Phys. B Condens. Matter 59, 177 (1985)

    Article  Google Scholar 

  5. S. Khazaei, D. Sebastiani, J. Chem. Phys. 145, 234506 (2016)

    Article  CAS  PubMed  Google Scholar 

  6. S. Khazaei, D. Sebastiani, J. Chem. Phys. 147, 194303 (2017)

    Article  CAS  PubMed  Google Scholar 

  7. M. Znojil, J. Phys. A 16, 293 (1983)

    Article  Google Scholar 

  8. M. Znojil, J. Phys. A 17, 1603 (1984)

    Article  Google Scholar 

  9. M. Znojil, K. Sandler, M. Tater, J. Phys. A 18, 2541 (1985)

    Article  Google Scholar 

  10. F.M. Fernández, J.F. Ogilvie, R.H. Tipping, J. Chem. Phys. 85, 5850 (1986)

    Article  Google Scholar 

  11. C.M. Bender, Rep. Prog. Phys. 70, 947 (2007)

    Article  Google Scholar 

  12. C.M. Bender, R.J. Kalveks, Int. J. Theor. Phys. 50, 955 (2011)

    Article  Google Scholar 

  13. F.M. Fernández, J. Garcia, Appl. Math. Comput. 247, 141 (2014)

    Google Scholar 

  14. A. Messiah, Quantum Mechanics (North-Holland, New York, 1976)

    Google Scholar 

  15. F.A. Cotton, Chemical Applications of Group Theory, 3rd edn. (Wiley, New York, 1990)

    Google Scholar 

  16. S. Klainman, L.S. Cederbaum, Phys. Rev. A 78, 062113 (2008)

    Article  CAS  Google Scholar 

  17. F.M. Fernández, Space-time symmetry as a generalization of parity-time and partial parity-time symmetry. arXiv:1507.08850 [quant-ph]

  18. E. Wigner, J. Math. Phys. 1, 409 (1960)

    Article  Google Scholar 

  19. M. Reed, B. Simon, Methods of Modern Mathematical Physics. IV: Analysis of Operators (Academic Press, New York, 1978)

    Google Scholar 

  20. F.M. Fernández, Introduction to Perturbation Theory in Quantum Mechanics (CRC Press, Boca Raton, 2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico

    Paolo Amore

  2. División Química Teórica, INIFTA, Blvd. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    Francisco M. Fernández

Authors
  1. Paolo Amore
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Francisco M. Fernández
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Francisco M. Fernández.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Amore, P., Fernández, F.M. On a model for rotational tunneling with a \(C_{6}\)-space-time symmetric analog. J Math Chem 57, 1840–1849 (2019). https://doi.org/10.1007/s10910-019-01041-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-019-01041-0

Keywords

Search

Navigation