18 research outputs found
Free Energy Formalism for Particle Adsorption
The equilibrium properties of particles adsorption is investigated
theoretically. The model relies on a free energy formulation which allows to
generalize the Maxwell-Boltzmann description to solutions for which the bulk
volume fraction of potentially adsorbed particles is very high. As an
application we consider the equilibrium physical adsorption of neutral and
charged particles from solution onto two parallel adsorbing surfaces.Comment: to be published in Physical Review
Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
It has been recently found that the equations of motion of several
semiclassical systems must take into account terms arising from Berry phases
contributions. Those terms are responsible for the spin Hall effect in
semiconductor as well as the Magnus effect of light propagating in
inhomogeneous media. Intensive ongoing research on this subject seems to
indicate that a broad class of quantum systems may be affected by Berry phase
terms. It is therefore important to find a general procedure allowing for the
determination of semiclassical Hamiltonian with Berry Phase corrections. This
article presents a general diagonalization method at order for a large
class of quantum Hamiltonians directly inducing Berry phase corrections. As a
consequence, Berry phase terms on both coordinates and momentum operators
naturally arise during the diagonalization procedure. This leads to new
equations of motion for a wide class of semiclassical system. As physical
applications we consider here a Dirac particle in an electromagnetic or static
gravitational field, and the propagation of a Bloch electrons in an external
electromagnetic field.Comment: 15 page
Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework
We consider the Doubly Special Relativity (DSR) generalization of Dirac
equation in an external potential in the Magueijo-Smolin base. The particles
obey a modified energy-momentum dispersion relation. The semiclassical
diagonalization of the Dirac Hamiltonian reveals the intrinsic Berry phase
effects in the particle dynamics