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Coulomb singularities in scattering wave functions of spin-orbit-coupled states
coulomb singularities spin-orbit-coupled states scattering wave functions
2011/10/8
Abstract: We report on our analysis of the Coulomb singularity problem in the frame of the coupled channel scattering theory including spin-orbit interaction. We assume that the coupling between the p...
Thermodynamic phase transitions and shock singularities
thermodynamic phase transitions shock singularities Mathematical Physics
2011/9/29
Abstract: We show that under rather general assumptions on the form of the entropy function, the energy balance equation for a system in thermodynamic equilibrium is equivalent to a set of nonlinear e...
Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities
the Lyapunov Exponent analytic quasi-perodic cocycles singularities Harper's model
2011/7/29
Abstract: We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities w...
Hamiltonian motions of plane curves and formation of singularities and bubbles
Hamiltonian motions plane curves
2010/4/1
A class of Hamiltonian deformations of plane curves is defined and studied. Hamiltonian deformations of conics and cubics are considered as illustrative examples. These deformations are described by s...
Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
Scattering Potentials Infi nite Refl ection Transmission Coefficients real Energies
2010/4/16
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering po...
Spectral Singularities, Biorthonormal Systems, and a Two-Parameter Family of Complex Point Interactions
complex potential spectral singularity biorthonormal system scattering bound state quasi-Hermitian PT -symmetry point interaction
2010/4/13
A curious feature of complex scattering potentials v(x) is the appearance of spectral singularities. We offer a quantitative description of spectral singularities that identifies them with an obstruct...