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By Bunge M.

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Extra resources for A Ghost - Free Axiomatization of Quantum Mechanics

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B Fedosov (1994) [Fed941 initiates an influential geometrical construction of the *-product on all symplectic manifolds. T Curtright, D Fairlie, and C Zachos (1998) [CFZ98] illustrates more directly the equivalence of the time-independent *-genvalue problem to the Hilbert space formulation, and hence its logical autonomy; formulates Darboux isospectral systems in phase space; works out the covariant transformation rule for general nonlinear canonical transformations (with reliance on the classic work of P Dirac (1933) [Dir33]; and thus furnishes explicit solutions to practical problems on first principles, without recourse to the Hilbert space formulation.

52 8 H. Weyl, Die Wahrscheinlichkeit ist als Hsufigkejt im Elektronenschwarm zu verstehen; sie wiirde sich, wenn mit dem Schwarm das Aussondernngsexperiment in der r-Richtung vorgenommen wiirde, in dem Searkeverhhltnis der beiden Teilstrahlen bekunden *. Hlltten wir am Anfang statt der x- eine andere, die x’-Richtung zugrunde gelegt, so hstten wir einen anderen reinen Fall, den Elektronenschwarm Gzt bekommen. I n ihm 4’ hat

N e u m a n n mitteilt, ist auch er inzwischen zur Aufstellung dieses Begriffs gelangt [Zusatz bei der Eorrcktur]. ** Zeitschrift Iiir Physik. Bd. 46. 1 46 2 H. Weyl, einem v o r l i e g e n d e n r e i n e n F a l l angenommen werden. Auf diese Theorie des reinen Falles griindet sich erst die S t a t i s t i k d e r Gemenge; v. Neumanns Ansatz bezog sich lediglich auf eine bestimmte Frage in diesem Gebiet. Der II. Teil handelt von der tiefer greifenden Frage 1. Sie llangt a d s engste zusammen mit der Frage nach dem Wesen und der richtigen Definition der k a n o n i s c h e n Variablen.

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