6533b7dcfe1ef96bd1272c02

RESEARCH PRODUCT

Generalized ``transition probability''

V. Cantoni

subject

Discrete mathematicsPure mathematicsTransition (fiction)Complex systemPhysical systemStatistical and Nonlinear PhysicsSymmetric functionSet (abstract data type)Probability amplitudeMetric (mathematics)Special case81.60Mathematical PhysicsMathematics

description

An operationally meaningful symmetric function defined on pairs of states of an arbitrary physical system is constructed and is shown to coincide with the usual “transition probability” in the special case of systems admitting a quantum-mechanical description. It can be used to define a metric in the set of physical states. Conceivable applications to the analysis of certain aspects of Quantum Mechanics and to its possible modifications are mentioned.

http://projecteuclid.org/euclid.cmp/1103899296