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62 papers · 1 filter
Faithful real embedding of a three-dimensional complex Kochen-Specker configuration
Andrei Khrennikov, Karl Svozil
We describe a phase-adjusted realification procedure that embeds any finite set of rays in C^3 into R^6. By assigning an appropriate phase to each ray before applying the standard…
Quantum analog of Landau-Lifshitz-Gilbert dynamics
Yuefei Liu, Ivan P. Miranda, Lee Johnson +7
The Landau-Lifshitz-Gilbert (LLG) and Landau-Lifshitz (LL) equations play an essential role for describing the dynamics of magnetization in solids. While a quantum analog of the LL…
Ozawa's Intersubjectivity Theorem as justification of RQM's postulate on internally consistent descriptions
Andrei Khrennikov
The Ozawa's Intersubjectivity Theorem (OIT) proved within quantum measurement theory supports the new postulate of relational quantum mechanics (RQM), the postulate on internally c…
Contextual Measurement Model and Quantum Theory
Andrei Khrennikov
We develop the contextual measurement model (CMM) which is used for clarification of the quantum foundations. This model matches with Bohr's views on the role of experimental conte…
The Bild-conception for Scientific Theory Structuring in Classical and Quantum Physics: from Hertz and Boltzmann to Schrödinger and De Broglie
Andrei Khrennikov
We start with methodological analysis of the notion of scientific theory and its interrelation with reality. This analysis is based on the works of Helmholtz, Hertz, Boltzmann, and…
Open systems, quantum probability and logic for quantum-like modeling in biology, cognition, and decision making
Andrei Khrennikov
The aim of this review is to highlight the possibility to apply the mathematical formalism and methodology of quantum theory to model behaviour of complex biosystems, from genomes…