Positive-operator-valued time observable in quantum mechanics

Positive - Operator - Valued Time Observable in Quantum Mechanics

We examine the longstanding problem of introducing a time observable in Quantum Mechanics; using the formalism of positive-operator-valued measures we show how to define such an observable in a natural way and we discuss some consequences.

Time as an operator/observable in nonrelativistic quantum mechanics

The nonrelativistic Schrödinger equation for motion of a structureless particle in four-dimensional space-time entails a well-known expression for the conserved four-vector field of local probability density and current that are associated with a quantum state solution to the equation. Under the physical assumption that each spatial, as well as the temporal, component of this current is observa...

Discrete-time, discrete-valued observable operator models: a tutorial

This tutorial gives a basic yet rigorous introduction to observable operator models (OOMs). OOMs are a recently discovered class of models of stochastic processes. They are mathematically simple in that they require only concepts from elementary linear algebra. The linear algebra nature gives rise to an efficient, consistent, unbiased, constructive learning procedure for estimating models from ...

Positive Operator-Valued Measures in Quantum Decision Theory

Semantics and Memory Semantic Composition Inspired by Quantum Measurement. . . . . . . . . . . . . . 41 William Blacoe Expansion-by-Analogy: A Vector Symbolic Approach to Semantic Search . . . 54 Trevor Cohen, Dominic Widdows, and Thomas Rindflesch Subadditivity of Episodic Memory States: A Complementarity Approach . . . . 67 Jacob Denolf A Vector Field Approach to Lexical Semantics. . . . . . ...

Positive Operator - Valued Measurements