An Introduction to Consistent Quantum Theory

@article{Hohenberg2010AnIT,
  title={An Introduction to Consistent Quantum Theory},
  author={Pierre Hohenberg},
  journal={Reviews of Modern Physics},
  year={2010},
  volume={82},
  pages={2835-2844}
}
  • P. Hohenberg
  • Published 12 September 2009
  • Physics
  • Reviews of Modern Physics
This paper presents an elementary introduction to consistent quantum theory, as developed by Griffiths and others over the past $25\phantom{\rule{0.3em}{0ex}}\text{years}$. The theory is a version of orthodox (Copenhagen) quantum mechanics based on the notion that the unique and mysterious feature of quantum, as opposed to classical systems, is the simultaneous existence of multiple incompatible representations of reality, referred to as ``frameworks.'' A framework is a maximal set of… 
Compatible quantum theory.
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References

SHOWING 1-10 OF 19 REFERENCES
Consistent Quantum Theory
1. Introduction 2. Wave functions 3. Linear algebra in Dirac notation 4. Physical properties 5. Probabilities and physical variables 6. Composite systems and tensor products 7. Unitary dynamics 8.
Many worlds? : Everett, quantum theory, and reality
Many Worlds: an Introduction 1. WHY MANY WORLDS? 1. Decoherence and Ontology 2. Quasiclassical Realms 3. Macroscopic Superpositions, Decoherent Histories, and the Emergence of Hydrodynamical
Quantum mechanics and experience
Superposition the mathematical formalism and the standard way of thinking about it nonlocality the measurement problem the collapse of the wave function the dynamics by itself Bohm's theory
The Born-Einstein Letters
  • M. Bredig
  • Physics, Environmental Science
    Science
  • 1973
TLDR
A convincing relation between the solar magnetic sector structure and the earth's meteorological activity as indicated by vorticity at the 300-millibar level is shown.
The Fabric of the Cosmos
Alexander Graham Bell 74401 DVD 50 min IS 1996 McCarney & Associates His desire to help his deaf mother communicate led to one of the most important inventions of the 20th century. However, the
Born-Einstein letters
Understanding Quantum Mechanics Prince
  • Found. Phys. Lett
  • 2006
The Fabric of the Cosmos (A. Knopf, NY)
  • 2004
...
1
2
...