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Deduktiver Aufbau der Theorie

In: Mathematische Grundlagen der Quantenmechanik

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  • John von Neumann

Abstract

Zusammenfassung Im Teil III. gelang es uns, alle Aussagen der Quantenmechanik auf die statistische Formel (sie hieß E 2 .) $$ \begin{array}{*{20}c} {\left( {\bar E.} \right)} & {} & {\begin{array}{*{20}c} {} & {} \\ \end{array} } & {\text{Erw}\left( {\Re \text{,}\;\varphi } \right)} \\ \end{array} = \left( {R\varphi ,\varphi } \right) $$ (Erw (ℜ, ϕ) ist der Erwartungswert der Größe ℜ im Zustande ϕ, R ist der Operator von ℜ) zurückzuführen. Im folgenden soll gezeigt werden, wie diese Formel selbst auf Grund einiger allgemeiner qualitativer Annahmen hergeleitet werden kann, und gleichzeitig wird der ganze in III. durchgeführte Aufbau der Quantenmechanik auf sie noch einmal überprüft werden. Ehe wir aber dies tun, ist noch eine Bemerkung vonnöten.

Suggested Citation

  • John von Neumann, 1996. "Deduktiver Aufbau der Theorie," Springer Books, in: Mathematische Grundlagen der Quantenmechanik, edition 0, chapter 0, pages 157-184, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-61409-5_5
    DOI: 10.1007/978-3-642-61409-5_5
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