We discuss an alternative version of non-relativistic Newtonian mechanics
in terms of real Hilbert space mathematical framework. It is demonstrated that
the physics of this scheme is in accordance with the standard formulation.
Heisenberg-Schrodinger non-relativistic quantum mechanics is considered adequate
and complete. Since the suggested theory is dispersion free, linear superposition
principle is not violated but cannot affect results of measurements due to
spectral decomposition theorem for self-adjoint operators (the collapse of wave
function).
Aharonov, Y.
and Vaidman, L. (1990) Properties
of a Quantum System during the Time Interval between Two Measurements. Physical Review A, 41, 11. http://dx.doi.org/10.1103/PhysRevA.41.11
Schrodinger, E. (1926) Quantizierungals
Eigenwert Problem (Erste Mitteilung). Annalen der Physik, 79, 361-376;
Schrodinger, E. (1926) Quantizierungals Eigenwert Problem (Zweite Mitteilung). Annalen
der Physik, 79,
489-527;
Schrodinger, E. (1926) über das Verholtnis der Heisenberg-Born-Jordanschen Quantenmechanikzu
der meinen. Annalen der Physik, 79, 734-756;
Schrodinger, E. (1926) Quantisierungals Eigenwert Problem (Dritte Mitteilung). Annalen
der Physik, 80,
437-490;
Schrodinger, E. (1926) Quantisierungals Eigenwert Problem (Vierte Mitteilung). Annalen
der Physik, 81,
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