Theoretical Background of Quantum Metrology



This chapter outlines the history of quantum mechanics and presents its fundamental formulas: the Schrödinger equation with the interpretation of the wave function, the Pauli exclusion principle, and the Heisenberg uncertainty principle. The latter is illustrated with sample numerical calculations. We briefly discuss the application of quantum effects in metrology, and present and compare the limits of accuracy and resolution of classical and quantum standards. Prospects for a new system of units are discussed as well.


Quantum Mechanic Scanning Tunneling Microscope Uncertainty Principle Planck Equation Planck Constant 
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.


  1. 1.
    R.D. Deslattes, Optical and x-ray interferometry of a silicon lattice spacing. Appl. Phys. Lett. 15, 386 (1968)CrossRefADSGoogle Scholar
  2. 2.
    A. Einstein, Űber einen die Erzuegung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt. Ann. Phys. 17, 132–148 (1905)CrossRefzbMATHGoogle Scholar
  3. 3.
    R.H. Feynman, R.B. Leighton, M. Sands, The Feynman Lectures on Physics, vol. 1. (Addison-Wesley, Reading, 1964)Google Scholar
  4. 4.
    J.R. Friedman, V. Patel, W. Chen, S.K. Tolpygo, J.E. Lukens, Quantum superposition of distinct macroscopic states. Nature 406, 43–45 (2000)CrossRefADSGoogle Scholar
  5. 5.
    S. Hawking, A Brief History of Time (Bantam Books, New York, 1988)Google Scholar
  6. 6.
    V. Kose, F. Melchert, Quantenma \(\beta\) e in der elektrischen Me \(\beta\) technik (VCH Verlag, Weinheim, 1991)Google Scholar
  7. 7.
    W. Nawrocki, Introduction to Quantum Metrology (in Polish) (Publishing House of Poznan University of Technology, Poznań, 2007)Google Scholar
  8. 8.
    I.W Savelev, Lectures on Physics, vol. 3. (Polish edition, PWN, 2002)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculty of Electronics and TelecommunicationsPoznan University of TechnologyPoznanPoland

Personalised recommendations