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Fundamental Notions of Quantum Mechanics

  • B. L. van der Waerden
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 214)

Abstract

According to Wave Mechanics, a pure state1 of a mechanical system is defined at any time by a wave function Ψ. The mechanical systems considered in this book are systems such as atoms or molecules, each consisting of a finite number of particles (electrons and nuclei). The wave function Ψ is a complex-valued function of the coordinates of the particles, dependent on time, which is supposed to satisfy Schrödinger’s equation
$$ H\Psi + \frac{h}{i}\frac{{\partial \Psi }}{{\partial t}} = 0 $$
(1.1)
.

Keywords

Hilbert Space Quantum Mechanics Spherical Harmonic Energy Operator Symmetric Operator 
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.

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References

  1. 2.
    H.Lebesgue: Leçons sur L’integration. Paris: 1904.Google Scholar
  2. 5.
    See.J.von Neumann’s fundamental paper: Allgemeine Eigenwerttheorie Hermetischer Funktionaloperatoren. Math.Ann.102.p.49 (1929).Google Scholar
  3. 6.
    T. Kato Fundamental Properties of Hamilton operatprs of Schroedinger Type. Transactons Amer.Math.Soc,70, 195(1951)Google Scholar
  4. 10.
    K.O.Friedrichs: Peturbation of Spectra in Hilbert Spaces. Math.Soc. (Providence 1965)Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1974

Authors and Affiliations

  • B. L. van der Waerden
    • 1
  1. 1.Mathematisches InstitutUniversität ZürichSwitzerland

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