Mesoscopic circuit with linear dissipation

Ting Lu, You Quan Li

Research output: Contribution to journalReview article


We firstly demonstrate the main ideas of quantum theory for mesoscopic electric circuits, which we proposed several years ago. In the theory, the importance of the charge discreteness in a mesoscopic electric circuit is addressed. As a further development, we discuss the mesoscopic electric circuit in the presence of linear dissipation as well as magnetic flux. We propose a quantum Kirchoff equation for the LCR circuit and discuss the oscillations for different criterion factors. We also solve the energy spectra and eigenvalues of the physical current under a soluble symmetry hypothesis.

Original languageEnglish (US)
Pages (from-to)975-979
Number of pages5
JournalModern Physics Letters B
Issue number26
StatePublished - Nov 10 2002


  • Charge discreteness
  • LCR circuit
  • Mesoscopic electric circuit
  • Quantum Kirchoff equation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

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