5 research outputs found
Dirac Equation in Noncommutative Space for Hydrogen Atom
We consider the energy levels of a hydrogen-like atom in the framework of
-modified, due to space noncommutativity, Dirac equation with Coulomb
field. It is shown that on the noncommutative (NC) space the degeneracy of the
levels and is lifted completely, such that new
transition channels are allowed.Comment: 9 pages, 1 figure; typos correcte
Quantization of the Damped Harmonic Oscillator Revisited
We return to the description of the damped harmonic oscillator by means of a
closed quantum theory with a general assessment of previous works, in
particular the Bateman-Caldirola-Kanai model and a new model recently proposed
by one of the authors. We show the local equivalence between the two models and
argue that latter has better high energy behavior and is naturally connected to
existing open-quantum-systems approaches.Comment: 16 page
Semiclassical and quantum description of motion on noncommutative plane
We study the canonical and the coherent state quantization of a particle
moving in a magnetic field on a non-commutative plane. Starting from the so
called \theta-modified action, we perform the canonical quantization and
analyze the gauge dependence of the obtained quantum theory. We construct the
Malkin-Man'ko coherent states of the system in question, and the corresponding
quantization. On this base, we study the relation between the coherent states
and the "classical" trajectories predicted by the \theta-modified action. In
addition, we construct different semiclassical states, making use of special
properties of circular squeezed states. With the help of these states, we
perform the Berezin-Klauder-Toeplitz quantization and present a numerical
exploration of the semiclassical behavior of physical quantities in these
states.Comment: 20 page