Computational Complexity

2012 Edition
| Editors: Robert A. Meyers (Editor-in-Chief)

Granular Computing and Modeling of the Uncertainty in Quantum Mechanics

  • Kow-Lung Chang
Reference work entry

Article Outline


Definition of the Subject


Quantum Postulates and Associated Propositions

Dirac's Bra and Ket Notations and the Realization of Wave Function

Realization of q-Representation in Quantum Mechanics

Fourier Transformation and p‑Representation

Quantum Uncertainty and Non-Compatibility of Observables P and X


Future Directions



Quantum State Quantum System Uncertainty Relation Physical Observable Quantum Uncertainty 
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    Jordan TF (1982) Linear operators for quantum mechanics, 2nd edn. Wiley, New YorkGoogle Scholar
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    Dirac PAM (1958) The principles of quantum mechanics, 4th edn. Clarendon Press, OxfordMATHGoogle Scholar

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Kow-Lung Chang
    • 1
  1. 1.Physics DepartmentNational Taiwan UniversityTaipehTaiwan