Mesoscopic circuit with linear dissipation

Ting Lu, You Quan Li

Research output: Contribution to journalReview articlepeer-review


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
Externally publishedYes


  • 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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