Tag: uncertainty principle

• Laplace's Demon and Determinism: Is the Future Already Fixed?Laplace's predictable universe, recast as a uniqueness theorem for initial value problems, and how chaos and the uncertainty relation dismantled it, with explicit computations.PhysicsPhysics ColumnsHigh school / generaldeterminismchaosuncertainty principlehistory of science~24 min
• Operators and Observables: From Hermitian Operators and Commutators to the Uncertainty RelationWhy observables are represented by Hermitian operators, derived from the reality of expectation values; the meaning of the canonical commutation relation, a proof of Heisenberg's principle via Robertson's inequality, and measurement as projection.PhysicsQuantum MechanicsUndergraduatequantum mechanicsHermitian operatorscommutation relationsuncertainty principlemeasurement~33 min