Abstract
Wigner function in phase space has its physical meaning as marginal probability distribution in coordinate space and momentum space respectively, here we endow the Wigner function with a new physical meaning, i.e., its marginal distributions’ statistical average for q 2/(2C) and p 2/(2L) are the energy stored in capacity and in inductance of a mesoscopic L-C circuit at finite temperature, respectively.
Similar content being viewed by others
References
Fan, H. Y., Zaidi, H. R., and Klauder, J. R. (1987). Physical Review D 35, 1831.
Fan, H. Y. and Fan, Y. (1998). Physics Letters A 246, 242.
Fan, H. Y. and Liang, X. T. (2000). Chinese Physics Letters 17, 174.
Fan, H. Y. (2002). Communications in Theoretical Physics 38, 533.
Fan, H. Y. (2004). Entangled State Representations in Quantum Mechanics and Their Applications [M]. Shanghai: Jiao Tong University Press, 13 (in Chinese).
Fan, H. Y. (2005). From Quantum Mechanics to Quantum Optics. Development of the Mathematical Physics [M]. Shanghai: Jiao Tong University Press, 107, 207 (in Chinese).
Louisell, W. H. (1973). Quantum Statistical Properties of Radiation [M]. New York: John Wiley. Chapter 4.
Song, T. Q. (2003). International Journal of Theoretical Physics 42, 793.
Takahashi, Y. and Umezawa, H. (1975). Thermo field dynamics. Collective Phenomena 2, 55.
Wang, J. S., Liu, T. K., and Zhan, M. S. (2000). International Journal of Theoretical Physics 39, 2013.
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS numbers: 03.65.-w, 73.21.-b
Rights and permissions
About this article
Cite this article
Liang, BL., Wang, JS. & Fan, HY. Marginal Distributions of Wigner Function in a Mesoscopic L-C Circuit at Finite Temperature and Thermal Wigner Operator. Int J Theor Phys 46, 1779–1785 (2007). https://doi.org/10.1007/s10773-006-9310-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-006-9310-1