caa a22 4500 463195841 CHVBK 20180406164922.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10773-006-9318-6 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9318-6 Thermal State for the Capacitance Coupled Mesoscopic Circuit with a Power Source [Elektronische Daten] [Jeong Choi, Jun-Young Oh] The Schrödinger equation of the mesoscopic capacitance coupled circuit with an arbitrary power source is solved by means of two step unitary transformation. The original Hamiltonian transformed to a very simple form by unitary operators so that it can be easily treated. We derived the exact full wave functions in Fock state. By making use of these wave functions and introducing the Lewis--Riesenfeld invariant operator, the thermal state have been constructed. The fluctuations of charges and currents are evaluated in thermal state. For T→ 0, the uncertainty products between charges and currents in thermal state recovers exactly to that of Fock state with n, m=0. Springer Science+Business Media, LLC, 2006 mesoscopic capacitance coupled circuit nationallicence thermal state nationallicence uncertainty product nationallicence Choi Jeong Department of Physics and Advanced Materials Sciences, Sun Moon University, 336-708, Asan, Republic of Korea aut Oh Jun-Young Basic Sciences Research Institute, Chungbuk National University, 361-763, Cheongju, Chungbuk, Republic of Korea aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/7(2007-07-01), 1836-1852 0020-7748 46:7<1836 2007 46 10773 https://doi.org/10.1007/s10773-006-9318-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9318-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Choi Jeong Department of Physics and Advanced Materials Sciences, Sun Moon University, 336-708, Asan, Republic of Korea aut NATIONALLICENCE 700 1- Oh Jun-Young Basic Sciences Research Institute, Chungbuk National University, 361-763, Cheongju, Chungbuk, Republic of Korea aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/7(2007-07-01), 1836-1852 0020-7748 46:7<1836 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer