A Functional Model of Measurement in Quantum Theory

A Functional Model of Measurement in Quantum Theory

The measurement problem of quantum theory (QT) is the unsolved problem of how the probabilistic predictions of QT are turned into definite measurement results. A related question is whether a measurement in QT implies a collapse of the wave function and what the collapse of the wave function exactly means. Theories proposed on these subjects have not found general agreements among physicists. T...

Quantum Hydrodynamic Model of Density Functional Theory

In this paper, we extend the method in [5] to derive a class of quantum hydrodynamic models for the density-functional theory (DFT). The most popular implement of DFT is the Kohn-Sham equation, which transforms a many-particle interacting system into a fictitious non-interacting one-particle system. The Kohn-Sham equation is a non-linear Schrödinger equation, and the corresponding Wigner equati...

A Theory Of Errors in Quantum Measurement

It is common to model the random errors in a classical measurement by the normal (Gaussian) distribution, because of the central limit theorem. In the quantum theory, the analogous hypothesis is that the matrix elements of the errors of an observable are distributed normally. We obtain the probability distribution this implies for the outcome of a measurement, exactly for the case of traceless ...

Operational Quantum Theory; Measurement Theory

Designing a Quantum Leadership Model in Secondary Schools Based on Data Theory

This study seeks to design a new and innovative model for school management using the data foundation method, a model that can be an effective aid in solving the problems and challenges facing school principals by using quantum leadership. Designing a quantum leadership model in secondary schools based on data theory is the main goal of this research and seeks to achieve a suitable model for ov...