Seventy five years ago, three remarkable papers by Schrödinger, Kennard and Darwin were
published. They were devoted to the evolution of Gaussian wave packets for an oscillator, a …

We start with a description of the canonical coherent states (CS) and some historical
remarks on the evolution of the concept and its applications. Then we present in detail the …

In this survey, various generalizations of Glauber–Sudarshan coherent 4 states are
described in a unified way, with their statistical properties and their 5 possible role in non …

Various Euclidean, hyperbolic and elliptic analytic representations are introduced and
relations among them are discussed. The Bargmann analytic representation in the complex …

Quantum systems with finite Hilbert space are considered, and phase-space methods like
the Heisenberg–Weyl group, symplectic transformations and Wigner and Weyl functions are …

For a system with one degree of freedom, coherent states that are parametrized by classical
canonical action-angle variables are introduced. These states also possess continuity of …

The term'nonclassical states' refers to the quantum states that cannot be produced in the
usual sources of light, such as lasers or lamps, rather than those requiring more …

This article is a direct illustration of a construction of coherent states which has been recently
proposed by two of us (JPG and JK). We have chosen the example of a particle trapped in …

The support vector machine (SVM) is a popular machine learning classification method
which produces a nonlinear decision boundary in a feature space by constructing linear …

A new approach to the direct construction of probability distribution functions of fractional
counting processes without the use of fractional differential and integral operators is …