Particle-Wave Duality

  • Hans Lüth
Part of the Graduate Texts in Physics book series (GTP)

Abstract

On the basis of the results of the fundamental experiments described in Chap.  2, the wave function is introduced as probability amplitude and the formal description of the particle-wave duality in terms of wave packets is presented. In this context, also the uncertainty principle is derived. This leads to the description of measurement observables by means of operators. Using the operator description, plausibility arguments yield the Schrödinger equation for the description of single particle dynamics. Simple analytical solutions of the Schrödinger equation, which are important for nanoelectronics, are presented.

Keywords

Wave Function Wave Packet Coulomb Blockade Gaussian Wave Packet Double Barrier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    W. Heisenberg, Z. Phys. 43, 172 (1927) ADSMATHCrossRefGoogle Scholar
  2. 2.
    E. Schrödinger, Ann. Phys. 79, 361 (1926) MATHCrossRefGoogle Scholar
  3. 3.
    G. Gamow, Z. Phys. 51, 204 (1928) ADSMATHCrossRefGoogle Scholar
  4. 4.
    G. Binnig, H. Rohrer, Ch. Gerber, W. Weibel, Appl. Phys. Lett. 40, 178 (1982) ADSCrossRefGoogle Scholar
  5. 5.
    R. Butz (Research Center Jülich), private commun. (1997) Google Scholar
  6. 6.
    A. Förster, J. Lange, D. Gerthsen, C. Dieker, H. Lüth, J. Phys. D, Appl. Phys. 27, 127 (1994) CrossRefGoogle Scholar
  7. 7.
    A. Förster, private commun. (1994) Google Scholar
  8. 8.
    K. Maezawa, A. Förster, Quantum transport devices based on resonant tunneling, in Nanoelectronics and Information Technology, ed. by R. Waser (Wiley-VCH, Weinheim, 2003), p. 407 Google Scholar
  9. 9.
    M. Indlekofer, J. Malindretos, Free download of WinGreen simulation package: http://www.fz-juelich.de/isi/mbe/wingreen.html

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Hans Lüth
    • 1
  1. 1.Forschungszentrum Jülich GmbH, Peter Grünberg Institut (PGI)PGI-9: Semiconductor Nanoelectronics and Jülich Aachen Research Alliance (JARA)JülichGermany

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