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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

The matrix equations of quantum mechanics

S. G. Eckstein, B. B. Varga, S. Ø. Aks

Published Apr 1, 1972• 4 citations
Publisher
DOI
10.1007/bf02743672

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Abstract: Here within the lacking part of ultimate theory, i.e. the Everlasting Theory, I derived the fundamental equation of the Matrix Quantum Mechanics i.e. the commutator. It follows from the phase transitions of the fundamental spacetime that are based on the halfintegral-spin constancy. The fundamental equation results from the entanglement that leads to the infinitesimal transformations. In reality, the Matrix Quantum Mechanics that describes excited states of fields, i.e. the quantum particles, is timeless and non-local i.e. nondeterministic. But the Matrix Quantum Mechanics leads to the time-dependent, so deterministic, wave functions that are characteristic for the Statistical Quantum Mechanics. It is the reason why the wave functions appear in the equations of motion. The Statistical Quantum Mechanics or the Quantum Theory of Fields, are the semiclassical/semi-quantum theories. The presented here extended Matrix Quantum Mechanics leads to the methods applied in the Quantum Theory of Fields and points the limitations. 1.