Skip to main content
Log in

Eigenvalue and Eigenfunction of n-Mode Boson Quadratic Hamiltonian

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

By means of the linear quantum transformation (LQT) theory, a concisediagonalization approach for then-mode boson quadratic Hamiltonian is given,and a general method to calculate the wave function is proposed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. N. N. Bogoliubov and N. N. Bogoliubov, Jr.,Introduction to Quantum Statistics (Chinese edition, 1994), p. 266.

  2. J. P. Blaizot,Quantum Theory of Finite Systems, MIT Press, Cambridge, Massachusetts (1986), p. 31.

    Google Scholar 

  3. R. Balian and E. Breizin,Nuovo Cimento 64 (1969) 37.

    Google Scholar 

  4. Y. D. Zhang and Z. Tang,Nuovo Cimento B 109 (1994) 387.

    Google Scholar 

  5. S. X. Yu and Y. D. Zhang,Commun. Theor. Phys. 24 (1995) 185.

    Google Scholar 

  6. Y. D. Zhang and Z. Tang,J. Math Phys. 34 (1993) 5639.

    Google Scholar 

  7. X. B. Wanget. al.,J. Phys. A: Math. Gen. 27 (1994) 6563; Wang Xiangbinet al.,Chin. Phys. Lett. 13 (1996) 401.

    Google Scholar 

  8. J. W. Panet al.,Commun. Theor. Phys. 26 (1996) 479.

    Google Scholar 

  9. Pan Jianweiet al.,Commun. Theor. Phys. 29 (1998) 547; Jianwei Panet. al.,Phys. Rev. E 56 (1997) 2553.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huaixin, L., Yongde, Z. Eigenvalue and Eigenfunction of n-Mode Boson Quadratic Hamiltonian. International Journal of Theoretical Physics 39, 447–454 (2000). https://doi.org/10.1023/A:1003600729222

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1003600729222

Keywords

Navigation