Note on a new interpretation of the scalar product in Hilbert space

A. D. Jannussis

Yakir Aharonov, David Z. Albert, C. K. Au

E. Ruiz

Robert F. O’Connell, A. K. Rajagopal

A new interpretation of the scalar product in Hilbert space was presented recently by Aharonov, Albert, and Au. Here the essential equivalence between such a view-point and Wigner's exact reformulation of nonrelativistic quantum mechanics using distribution functions is pointed out.

Eduard Prugovečki

It is shown that the new interpretation of the scalar product in Hilbert space recently proposed by Aharanov, Albert, and Au is in fact the one underlying the stochastic phase-space formulation of nonrelativistic quantum mechanics. The extrapolation of this interpretation to the relativistic domain and its relationship to the program of geometrizing quantum theory and quantizing space-time are discussed.

Paul Busch, PEKKA J. LAHTI, Juha-Pekka Pellonpää +1 more