International Journal of Theoretical Physics

, Volume 46, Issue 7, pp 1836–1852 | Cite as

Thermal State for the Capacitance Coupled Mesoscopic Circuit with a Power Source

Article
First Online:
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Accepted:

Abstract

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.

Keywords

mesoscopic capacitance coupled circuit thermal state uncertainty product 
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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  1. 1.Department of Physics and Advanced Materials SciencesSun Moon UniversityAsanRepublic of Korea
  2. 2.Basic Sciences Research InstituteChungbuk National UniversityCheongjuRepublic of Korea

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