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.
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REFERENCES
Birrell, N. D. and Davies, P. C. W. (1982). Quantum Fields in Curved Space, Cambridge University Press, Cambridge.
Kirzhnits, D. A. (1967). Filed Theoretical Methods in Many-Body Systems, Pergamon Press, Pergamon.
Mann, A., Revzen, M., Umezawa, H., and Yamanaka, Y. (1989). Physics Letters A 140, 475.
Richard, J. H. (1985). Annals of Physics 162, 1.
Shin, T. (1986). Progress of Theoretical Physics (Suppl.) 88, 1.
Umezawa, H. and Yamanaka, Y. (1988). Advances in Physics 37, 531.
Unruh, W. G. (1976). Physics Review D: Particles and Fields 14, 870.
Zhao zheng (1999). Thermal Properties of Black Hole and Space-Time Singularity, Beijing Normal University Press, Beijing.
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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
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DOI: https://doi.org/10.1023/A:1017592108518