caa a22 4500 463197682 CHVBK 20180406164927.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10773-007-9392-4 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9392-4 The Quantum Fluctuations of Two Coupled Josephson Junctions with the Discreteness of Electric Charge [Elektronische Daten] [De-Xin Miao, Ju-Ju Hu, Ying-Hua Ji, Shu-Qin Liu] The quantization of two Josephson junctions coupled via inductor with the discreteness of electric charges is proposed. The finite-difference Schrodinger equation of the circuit system has been obtained in charge representation, and the Schrodinger equation is turned to be Mathieu equation in flux representation. The wavefunction and energy spectrum can be solved by adopting the canonical transformation and unitary transformation method. The results indicate that the quantum fluctuations of the flux in the ground states of each mesh exist and are interrelated. Springer Science+Business Media, LLC, 2007 Coupled Josephson junction qubits nationallicence Discreteness of electron charge nationallicence Quantization nationallicence Mathieu equation nationallicence Quantum fluctuation nationallicence Miao De-Xin College of Modern Profession and Technology, Nanchang, 330012, Jiangxi, China aut Hu Ju-Ju Jiangxi Normal University, Nanchang, 330022, Jiangxi, China aut Ji Ying-Hua Jiangxi Normal University, Nanchang, 330022, Jiangxi, China aut Liu Shu-Qin Jiangxi Normal University, Nanchang, 330022, Jiangxi, China aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2808-2815 0020-7748 46:11<2808 2007 46 10773 https://doi.org/10.1007/s10773-007-9392-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9392-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Miao De-Xin College of Modern Profession and Technology, Nanchang, 330012, Jiangxi, China aut NATIONALLICENCE 700 1- Hu Ju-Ju Jiangxi Normal University, Nanchang, 330022, Jiangxi, China aut NATIONALLICENCE 700 1- Ji Ying-Hua Jiangxi Normal University, Nanchang, 330022, Jiangxi, China aut NATIONALLICENCE 700 1- Liu Shu-Qin Jiangxi Normal University, Nanchang, 330022, Jiangxi, China aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2808-2815 0020-7748 46:11<2808 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer