Skip to main content
Log in

Generalized Uncertainty Relation of One-Dimensional Rindler Oscillator

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

Abstract

General Minkowski vacuum state is seen to be equivalent to a thermal bath for a Rindler uniformly accelerated observer. This paper calculates the generalized uncertainty relation of one-dimensional Rindler oscillator in the coordinate representation. The calculations show that for a Rindler uniformly accelerated observer there is not only general quantum fluctuation but also thermal fluctuation related to his acceleration.

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

  • Birrell, N. D. and Davies, P. C. W. (1982). Quantum Fields in Curved Space, Cambridge University Press, Cambridge.

    Google Scholar 

  • Kirzhnits, D. A. (1967). Filed Theoretical Methods in Many-Body Systems, Pergamon Press, Pergamon.

    Google Scholar 

  • Mann, A., Revzen, M., Umezawa, H., and Yamanaka, Y. (1989). Physics Letters A 140, 475.

    Google Scholar 

  • Richard, J. H. (1985). Annals of Physics 162, 1.

    Google Scholar 

  • Shin, T. (1986). Progress of Theoretical Physics (Suppl.) 88, 1.

    Google Scholar 

  • Umezawa, H. and Yamanaka, Y. (1988). Advances in Physics 37, 531.

    Google Scholar 

  • Unruh, W. G. (1976). Physics Review D: Particles and Fields 14, 870.

    Google Scholar 

  • Zhao zheng (1999). Thermal Properties of Black Hole and Space-Time Singularity, Beijing Normal University Press, Beijing.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuan-Xing Gui.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ye, X., Gui, YX. Generalized Uncertainty Relation of One-Dimensional Rindler Oscillator. International Journal of Theoretical Physics 40, 1341–1348 (2001). https://doi.org/10.1023/A:1017592108518

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1017592108518

Keywords

Navigation