Entropy-variation with resistance in a quantized RLC circuit derived by the generalized Hellmann－Feynman theorem

doi:10.1088/1674-1056/19/6/060502

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.

Keywords: entropy RLC circuit generalized Hellmann--Feynman theorem

Received: 18 September 2009
Accepted manuscript online:

PACS:	84.30.Bv	(Circuit theory)
	05.70.Ce	(Thermodynamic functions and equations of state)

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).

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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

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Entropy-variation with resistance in a quantized RLC circuit derived by the generalized Hellmann－Feynman theorem

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