Entropy-variation with resistance in a quantized RLC circuit derived by the generalized Hellmann－Feynman theorem
Fan Hong-Yi(范洪义)a), Xu Xue-Xiang(徐学翔)a)b), and Hu Li-Yun(胡利云)b)†
a Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; b College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
Abstract By virtue of the generalized Hellmann--Feynman theorem for the ensemble average, we obtain the internal energy and average energy consumed by the resistance R in a quantized resistance--inductance--capacitance (RLC) electric circuit. We also calculate the entropy-variation with R. The relation between entropy and R is also derived. By the use of figures we indeed see that the entropy increases with the increment of R.
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos.~10775097 and
10874174), and the Research Foundation of the Education Department
of Jiangxi Province of China (Grant No.~GJJ10097).
Cite this article:
Fan Hong-Yi(范洪义), Xu Xue-Xiang(徐学翔), and Hu Li-Yun(胡利云) Entropy-variation with resistance in a quantized RLC circuit derived by the generalized Hellmann－Feynman theorem 2010 Chin. Phys. B 19 060502
[1]
Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: John Wiley)
[2]
Fan H Y and Liang X T 2000 Chin. Phys. Lett. 17 174
[3]
Hellmann H 1937 Einfuehrung in die Quantenchemie (Deuticke: Leipzig)
[4]
Feynmann R P 1939 Phys. Rev. 56 340
[5]
Fan H Y and Chen B Z 1995 Phys. Lett. A {\bf203 95
[6 ]
Fan H Y and Xu X X 2009 J. Math. Phys. {\bf50 063303
[7]
Fan H Y, Xu X X and Hu L Y 2010 Mod. Phys. Lett. B 24 217
[8 ]
Popov D 1998\ Int. J. Quantum Chem. 69 159
[9 ]
Dhurba R 2007 Phys. Rev. A 75 032514
[10]
Su J, Wang J S, Liang B L and Zhang X Y 2008 Acta Phys. Sin. 57 7216 (in Chinese)
[11]
Stephen M B and Paul M R 1997 Methods in Theoretical Quantum Optics (Oxford: Clarendon Press)
[12]
Orszag M 2000 Quantum Optics (Berlin: Springer-Verlag)
[13]
Xu X L, Li H Q and Wang J S 2007 Chin. Phys. 16 2462
[14]
Liu T K, Wang J S, Feng J and Zhan M S 2005 Chin. Phys. 14 536
Characteristics of vapor based on complex networks in China Ai-Xia Feng(冯爱霞), Qi-Guang Wang(王启光), Shi-Xuan Zhang(张世轩), Takeshi Enomoto(榎本刚), Zhi-Qiang Gong(龚志强), Ying-Ying Hu(胡莹莹), and Guo-Lin Feng(封国林). Chin. Phys. B, 2022, 31(4): 049201.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
