Abstract
The quantum theory for mesoscopic electric circuit with charge discreteness is briefly described. The Schrödinger equation of the mesoscopic electric circuit with external source which is the time function has been proposed. By using the instanton methods, the macroscopic quantum coherent phenomena and effective capacitance oscillation in the mesoscopic electric circuit have been addressed.
Similar content being viewed by others
References
Büttiker, M. (1988). IBM J. Res. Develop. 32, 63.
Büttiker, M., Imry, Y., and Landauer, R. (1983). Phys. Lett. A 96, 365.
Bogachek, E. N., Krive, I. V., Kulik, I. O., and Rozavsky, A. S. (1990). Phys. Rev. B42, 7614.
Buot, F. A. (1993). Phys. Rep. 224, 73.
Chen, B. and Li, Y. et al. (1995). Phys. Lett. A 205, 121.
Chen, B. and Li, Y. et al. (1996). Chin. Sci. Bull. 41, 1084.
Chen, B., Chen, L., and Han, R. (1998). Phys. Lett. A246, 446.
Chen, B., Chen, L., and Han, R. (1999). Commun. Theor. Phys. 31, 301.
Chen, B., Dai, X., and Han, R. (2002). Phys. Lett. A 302, 325.
Chen, B., Gao, S. N., and Jiao, Z. K. (1995). Acta Phisica Sinica (in Chinese) 44, 1480.
Chen, B., Juan, X., and Li, Y. (2003). Phys. Lett. A 313, 431.
Chen, B., Shen, X., and Han, R. (1999). Phys. Lett A261, 345.
Chudnovsky, E. M. (1993). J. App. Phys. 73, 6697.
Krive, I. V. and Rozhavsky, A. S. (1992). Inter. J. Mod. Phys. B 6, 1255.
Lambe, J. and Jaklev, R. C. (1969). Phys. Rev. Lett. 22, 1371.
Landauer, R. (1988). IBM J. Res. Develop. 32, 306.
Leggett, A. J. (1980). Supp. Prog. Theor. Phys. 6, 9.
Li, Y. and Chen, B. (1996). Phys. Rev. B 53, 4027.
Li, Y. and Chen, B. (1998). Commun. Theor. Phys. 29, 139.
Likharev, K. K. (1988). IBM J. Res. Develop. 32, 144.
Louisell, W. H. (1973). Quantum Statistical Properties of Radiation, John Wiley.
Rajaraman, R. (1982). An Introduction to Solitons and Instantons in Quantum Field Theory, North-Holland.
Srivastava, Y. and Widom, A. (1987). Phys. Rep. 148, 1.
Vourdas, A. (1994). Phys. Rev. B 49, 12040.
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS 03.65,-w, 61.46,+w
Rights and permissions
About this article
Cite this article
Chen, B., Shen, X., Sun, L. et al. Macroscopic Quantum Coherent Phenomena in the Mesoscopic Electric Circuit. Int J Theor Phys 46, 199–205 (2007). https://doi.org/10.1007/s10773-006-9106-3
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-006-9106-3