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International Journal of Theoretical Physics

, Volume 49, Issue 8, pp 1768–1774 | Cite as

Equivalent Analogy of Mesoscopic RLC Circuit and Its Thermal Effect

  • Bao-Long Liang
  • Ji-Suo Wang
  • Shi-Xue Song
  • Xiang-Guo Meng
Article
  • 64 Downloads

Abstract

A new method of quantizing the mesoscopic RLC circuit is proposed, i.e., such a circuit can be equivalent to a changing mass simple harmonic oscillator. By virtue of the thermal entangled state representation and the generalized Hellmann-Feynman Theorem, the thermal effect for the system is investigated.

Keywords

Thermal effect Thermal entangled state Generalized Hellmann-Feynman Theorem 

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References

  1. 1.
    Fan, H.Y., Pan, X.Y.: Chin. Phys. Lett. 15, 625 (1998) CrossRefADSGoogle Scholar
  2. 2.
    Chen, B., Li, Y.Q., Fang, H., Jiao, Z.K., Zhang, Q.R.: Phys. Lett. A 205, 121 (1995) CrossRefADSGoogle Scholar
  3. 3.
    Li, Y.Q., Chen, B.: Phys. Rev. B 53, 402 (1996) CrossRefGoogle Scholar
  4. 4.
    Vourdas, A.: Phys. Rev. B 49, 12040 (1994) CrossRefMathSciNetADSGoogle Scholar
  5. 5.
    Vourdas, A., Spiller, T.P.: Z. Phys. B 102, 43 (1997) CrossRefADSGoogle Scholar
  6. 6.
    Vandersypen, L.M.K., Steffen, M., Breyta, G., Yannoni, C.S., Sherwood, M.H., Chuang, I.L.: Nature 414, 883 (2001) CrossRefADSGoogle Scholar
  7. 7.
    Gulde, S., Riebe, M., Lancaster, G.P.T., Becher, C., Eschner, J., Häffner, H., Schmidt-Kaler, F., Chuang, I.L., Blatt, R.: Nature 421, 48 (2003) CrossRefADSGoogle Scholar
  8. 8.
    Fan, H.Y., Liang, X.T.: Chin. Phys. Lett. 17, 174 (2000) CrossRefADSGoogle Scholar
  9. 9.
    Song, T.Q.: Int. J. Theor. Phys. 42, 793 (2003) MATHCrossRefGoogle Scholar
  10. 10.
    Fan, H.Y., Fan, Y. Song, Q, T.: Phys. Lett. A 305, 222 (2002) MATHCrossRefMathSciNetADSGoogle Scholar
  11. 11.
    Liang, B.L., Wang, J.S., Meng, X.G.: Int. J. Theor. Phys. 46, 2901 (2007) MATHCrossRefGoogle Scholar
  12. 12.
    Louisell, W.H.: Quantum Statistical Properties of Radiation. Wiley, New York (1973). Chap. 4 Google Scholar
  13. 13.
    Peng, H.W.: Acta Phys. Sin. 29, 1084 (1980) ADSGoogle Scholar
  14. 14.
    Ji, Y.H.: Phys. Lett. A 372, 3874 (2008) CrossRefADSGoogle Scholar
  15. 15.
    Dirac, P.A.M.: The Principles of Quantum Mechanics. Clarendon Press, Oxford (1967) Google Scholar
  16. 16.
    Fan, H.Y., Fan, Y.: Phys. Lett. A 246, 242 (1998) MATHCrossRefMathSciNetADSGoogle Scholar
  17. 17.
    Fan, H.Y., Chen, B.Z.: Phys. Lett. A 203, 95 (1995) CrossRefADSGoogle Scholar
  18. 18.
    Takahashi, Y., Umezawa, H.: Collect. Phenom. 2, 55 (1975) MathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Bao-Long Liang
    • 1
  • Ji-Suo Wang
    • 1
    • 2
  • Shi-Xue Song
    • 1
  • Xiang-Guo Meng
    • 1
  1. 1.School of Physics Science and Information EngineeringLiaocheng UniversityShandongChina
  2. 2.College of Physics and EngineeringQufu Normal UniversityQufuChina

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