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  • Nano Express
  • Open Access

Influence of scattering processes on electron quantum states in nanowires

  • 1Email author,
  • 1,
  • 1,
  • 1 and
  • 1
Nanoscale Research Letters20072:213

  • Received: 29 December 2006
  • Accepted: 23 March 2007
  • Published:


In the framework of quantum perturbation theory the self-consistent method of calculation of electron scattering rates in nanowires with the one-dimensional electron gas in the quantum limit is worked out. The developed method allows both the collisional broadening and the quantum correlations between scattering events to be taken into account. It is an alternativeper se to the Fock approximation for the self-energy approach based on Green’s function formalism. However this approach is free of mathematical difficulties typical to the Fock approximation. Moreover, the developed method is simpler than the Fock approximation from the computational point of view. Using the approximation of stable one-particle quantum states it is proved that the electron scattering processes determine the dependence of electron energy versus its wave vector.


  • Nanowire
  • Electron scattering
  • Electron quantum states
  • Collisional broadening
  • Quantum correlations


Authors’ Affiliations

Radiophysics and Electronics Department, Belarus State University, Nezavisimosty av. 4, 220030 Minsk, Belarus


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© to the authors 2007