PAPERS ON CLOSED  QUANTUM SYSTEMS:

<>Heitzinger C., Ringhofer C.:
"Finite Difference Solutions of the Nonlinear {Schrödinger}  Equation and their Conservation of Physical Quantities"
Communications  Mathematical  Sciences 5:779-788,2007.

<>M. Nedjalkov, D. Vasileska, D. Ferry, C. Jacoboni, C. Ringhofer, I. Dimov, V. Palankovski:
“Wigner Transport models for electron – phonon kinetics in quantum wires”
Phy. Rev. B 74: 035311, 2006.

<>J. P. BOURGADE, P. DEGONDN. MAUSER, C. RINGHOFER::
" Quantum Corrections to Semiclassical Transport in Nanoscale Devices Using Entropy Principles"
Journal of Comp. Electronics  6(1-3):117-120, 2007.

D. VASILESKA, H.R. KHAN, S.S. AHMED, C. RINGHOFER, C. HEITZINGER:
QUANTUM AND COULOMB EFFECTS IN NANODEVICES,
Int. Journal of Nanoscience  4:305-361, 2005.

M. Nedjakov, H. Kosina, S. Selberherr, C. Ringhofer, D. Ferry:
A unified particle approach to Wigner - Boltzmann transport in small semiconductor devices,
Phys. Rev. B 70 : 115319 (2004)

Heitzinger C., Ringhofer C.:  A Note on the Simplectic Integration of the Nonlinear
Schroedinger Equation,  Journal of Comp. Electronics  3-1:33-44 (2004).

Ringhofer C., Soler  J.: "Discrete Schrödinger-Poisson Systems Preserving Energy and Mass".

Applied Mathematics Letters, 13 (7)  pp. 27-32 (2000).

 Fromlet F., Markowich P., Ringhofer C.: 
"A Wignerfunction Approach to Phonon Scattering"
  VLSI Design 9 (1999) 339-350.

L. Shifren, C. Ringhofer, D.Ferry:
"A Wigner function based quantum ensemble Monte Carlo study of a resonant tunneling diode"
IEEE Trans. Electron Devices 50 (3) ,pp.769-773  (2002) (PDF-file).

H.Kosina, M.Nedjalkov, C. Ringhofer, S. Selberherr:
"Semi-classical approximation of electron-phonon scattering beyond Fermi's Golden Rule"
 SIAM J. Appl. Math.  64, pp. 1933-1953 (2004) (PDF).

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