Elements of Real Hilbert Spaces Theory - Open Access Library Journal

OALibJ > Vol.2 No.5, May 2015

Elements of Real Hilbert Spaces Theory ()

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DOI: 10.4236/oalib.1101554 1,855 Downloads 2,960 Views

Author(s)

Daniel Sepunaru

Affiliation(s)

RCQCE—Research Center for Quantum Communication Engineering, Holon Academic Institute of Technology, Holon, Israel.

ABSTRACT

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).

KEYWORDS

Real Hilbert Spaces, Holographic Detection, Quantum Reference Frames

Share and Cite:

Sepunaru, D. (2015) Elements of Real Hilbert Spaces Theory. Open Access Library Journal, 2, 1-9. doi: 10.4236/oalib.1101554.

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