Symmetry as a foundational concept in Quantum Mechanics

@article{Ziaeepour2015SymmetryAA,
  title={Symmetry as a foundational concept in Quantum Mechanics},
  author={Houri Ziaeepour},
  journal={Journal of Physics: Conference Series},
  year={2015},
  volume={626}
}
  • H. Ziaeepour
  • Published 15 February 2015
  • Physics
  • Journal of Physics: Conference Series
Symmetries are widely used in modeling quantum systems but they do not contribute in postulates of quantum mechanics. Here we argue that logical, mathematical, and observational evidence require that symmetry should be considered as a fundamental concept in the construction of physical systems. Based on this idea, we propose a series of postulates for describing quantum systems, and establish their relation and correspondence with axioms of standard quantum mechanics. Through some examples we… 
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2 Citations

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References

SHOWING 1-10 OF 13 REFERENCES
Ontological models predictively inequivalent to quantum theory.
TLDR
A model is described which violates the statement that no extension of quantum theory can have improved predictive power under a strong assumption of free choice of the experimental settings and validity of quantum mechanics for almost all states of a bipartite two-level system.
"Relative State" Formulation of Quantum Mechanics
The task of quantizing general relativity raises serious questions about the meaning of the present formulation and interpretation of quantum mechanics when applied to so fundamental a structure as…
Quantum Mechanics at the Crossroads: New Perspectives from History, Philosophy and Physics
Introduction: Contexts and Challenges for Quantum Mechanics.- Max Planck's compromises on the way to and from the Absolute.- Atomic Waves in Private Practice.- A Complementary Opposition: Louis de…
On the Einstein-Podolsky-Rosen paradox
THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional…
Conditional probabilities with Dirac observables and the problem of time in quantum gravity
We combine the 'evolving constants' approach to the construction of observables in canonical quantum gravity with the Page-Wootters formulation of quantum mechanics with a relational time for…
A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II
In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a…
No extension of quantum theory can have improved predictive power
TLDR
This work says that no extension of quantum theory can give more information about the outcomes of future measurements than quantum theory itself, under the assumption that measurements can be chosen freely.
Experimental violation of a Bell's inequality with efficient detection
TLDR
Here, correlations in the classical properties of massive entangled particles (9Be+ ions): these correlations violate a form of Bell's inequality, and the high detection efficiency of the apparatus eliminates the so-called ‘detection’ loophole.
Decoherence, the measurement problem, and interpretations of quantum mechanics
Environment-induced decoherence and superselection have been a subject of intensive research over the past two decades, yet their implications for the foundational problems of quantum mechanics, most…
Anisotropic Superexchange Interaction and Weak Ferromagnetism
A theory of anisotropic superexchange interaction is developed by extending the Anderson theory of superexchange to include spin-orbit coupling. The antisymmetric spin coupling suggested by…
...
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