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Fundamental Notions of Quantum Mechanics

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Part of the book series: Grundlehren der mathematischen Wissenschaften ((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)

.

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References

  1. H.Lebesgue: Leçons sur L’integration. Paris: 1904.

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  2. See.J.von Neumann’s fundamental paper: Allgemeine Eigenwerttheorie Hermetischer Funktionaloperatoren. Math.Ann.102.p.49 (1929).

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  3. T. Kato Fundamental Properties of Hamilton operatprs of Schroedinger Type. Transactons Amer.Math.Soc,70, 195(1951)

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  4. K.O.Friedrichs: Peturbation of Spectra in Hilbert Spaces. Math.Soc. (Providence 1965)

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© 1974 Springer-Verlag Berlin · Heidelberg

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van der Waerden, B.L. (1974). Fundamental Notions of Quantum Mechanics. In: Group Theory and Quantum Mechanics. Grundlehren der mathematischen Wissenschaften, vol 214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65860-0_1

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  • DOI: https://doi.org/10.1007/978-3-642-65860-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65862-4

  • Online ISBN: 978-3-642-65860-0

  • eBook Packages: Springer Book Archive

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