International Journal of Theoretical Physics

, Volume 45, Issue 3, pp 546–553

Quantum Fluctuations of the Current and Voltage in Thermal Vacuum State for Mesoscopic Quartz Piezoelectric Crystal


  • Hong-Qi Li
    • Department of PhysicsHeze University
  • Xing-Lei Xu
    • Department of PhysicsHeze University
    • Department of PhysicsLiaocheng University

DOI: 10.1007/s10773-006-9037-z

Cite this article as:
Li, H., Xu, X. & Wang, J. Int J Theor Phys (2006) 45: 546. doi:10.1007/s10773-006-9037-z


The mesoscopic quartz piezoelectric crystal equivalent circuit is quantized by the method of damped harmonic oscillator quantization. It is shown that, when each branch is in the thermal vacuum states, the quantum fluctuations of the voltage, and current of each loop relate with not only the equivalent circuit inherent parameter, but also the temperature and decay according to exponent along with time.

Key Words

mesoscopic quartz piezoelectric crystalequivalent circuitthermal vacuum statequantum fluctuation
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© International Journal of Theoretical Physics 2006