6533b850fe1ef96bd12a837b
RESEARCH PRODUCT
A dynamical approach to compatible and incompatible questions
Fabio Bagarellosubject
Statistics and ProbabilityPhysics - Physics and SocietyQuantum PhysicsCompatible and incompatible questionComputer scienceQuantum dynamicsQuantum dynamicTime evolutionHilbert spaceFOS: Physical sciencesBinary numberProbability and statisticsPhysics and Society (physics.soc-ph)Condensed Matter PhysicsHermitian matrixAlgebrasymbols.namesakeOperator (computer programming)symbolsQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)Decision makingSettore MAT/07 - Fisica Matematicadescription
We propose a natural strategy to deal with compatible and incompatible binary questions, and with their time evolution. The strategy is based on the simplest, non-commutative, Hilbert space $\mathcal{H}=\mathbb{C}^2$, and on the (commuting or not) operators on it. As in ordinary Quantum Mechanics, the dynamics is driven by a suitable operator, the Hamiltonian of the system. We discuss a rather general situation, and analyse the resulting dynamics if the Hamiltonian is a simple Hermitian matrix.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-08-01 |