We have written this book in order to provide a single compact source for undergraduate
and graduate students, as well as for professional physicists who want to understand the …

The aim of this book is to provide an introduction to some representative nonrelativistic
quantum control problems and to their theoretical analysis and solution by modern …

We address the question of which phase space functionals might represent a quantum state.
We derive necessary and sufficient conditions for both pure and mixed phase space …

Phase space dynamics in classical mechanics is described by transport along trajectories.
Anharmonic quantum mechanical systems do not allow for a trajectory-based description of …

The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to
cosmological models in the minisuperspace. The quantization procedure is performed …

We analyze the tomographic representation for the Friedmann–Robertson–Walker (FRW)
model within the Loop Quantum Cosmology framework. We focus on the Wigner quasi …

The physical origin of Robin boundary conditions is investigated for wavefunctions at an
infinite reflecting wall. We consider both Schrödinger and phase-space quantum mechanics …

We consider a non-relativistic particle in a one-dimensional box with all possible quantum
boundary conditions that make the kinetic-energy operator self-adjoint. We determine the …

We study the Moyal evolution of the canonical position and momentum variables. We
compare it with the classical evolution and show that, contrary to what is commonly found in …

Using an extension of the Hörmander product of distributions, we obtain an intrinsic
formulation of one-dimensional Schrödinger operators with singular potentials. This …