We present an efficient computational method to solve selfconsistently the Bogoliubov–de Gennes equations of weak coupling superconductivity. As a function of system size, the scaling of the CPU time required by the scheme is shown to be preferable compared to the methods commonly used. Also, the scheme allows taking into account nonlocal pairing interactions without additional computational co...

A new parametrization of the Eilenberger equations of superconductivity in terms of the solutions to a scalar differential equation of the Riccati type is introduced. It is shown that the quasiclassical propagator, and in particular the local density of states, may be reconstructed, without explicit knowledge of any eigenfunctions and eigenvalues, by solving a simple initial value problem for t...

Sound propagation has been studied in a magnetically trapped dilute Bose-Einstein condensate. Localized excitations were induced by suddenly modifying the trapping potential using the optical dipole force of a focused laser beam. The resulting propagation of sound was observed using a novel technique, rapid sequencing of nondestructive phase-contrast images. The speed of sound was determined as...

We consider a second quantized homogeneous Bose gas in a large cubic box with periodic boundary conditions, at zero temperature, and in the grand canonical setting (the chemical potential μ is fixed, the number of particles can vary). The interaction potential has a positive Fourier transform. We define the infimum of the excitation spectrum as the infimum of the grandcanonical Hamiltonian rest...

The systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes is studied within the Hartree-Fock-Bogoliubov plus equal filling approximation method preserving both axial and time-reversal symmetries. Calculations based on the Gogny energy density functional with both the standard D1S parametrization and the new D1M incarnation of this functional are included in...

The evolution of the pairing correlations from closed shell to midshell nuclei is analyzed in the Sn isotopes with the Finite Range Density Dependent Gogny force. As theoretical approaches we use the Hartree-Fock-Bogoliubov, the Lipkin-Nogami, their particle number projected counterparts and the full variation after particle number projection method. We find that whereas all approaches succeed ...

We analyse deformation mechanism in neutron-rich Cr, Fe and Ti isotopes with N=3244 by means of a Skyrme-Hartree-Fock-Bogoliubov mean-field code employing a twodimensional mesh representation in the cylindrical coordinate system. Evaluating systematically the quadrupole deformation energy, we show that the Skyrme parameter set SkM* gives a quadrupole instability around the neutron number N∼38-4...

Abstract. This article attempts to analyze the Hopf bifurcation behavior of a railway wheelset in the presence of dead-zone and yaw damper nonlinearities. A model that is more precise than Yang and Ahmadian is investigated. Using Bogoliubov-Mitropolsky averaging method and critical speed, the amplitude of the limit cycle in the presence of the mentioned nonlinearities is taken into consideratio...

The finite-temperature linear response theory based on the relativistic Hartree-Bogoliubov (FT-RHB) model is developed in charge-exchange channel to study temperature evolution of spin-isospin excitations. Calculations are performed self-consistently with point-coupling interactions DD-PC1 and DD-PCX. In channel, pairing interaction can be split into isovector ($T = 1$) isoscalar 0$) parts. For...

In a two-dimensional Bose-Einstein condensate the reduction in dimensionality fundamentally influences collisions between the atoms. In the crossover regime from three to two dimensions several scattering parameters have been considered. However, finite temperature results are more difficult to obtain. In this work we present the many-body T-matrix at finite temperatures within a gapless Hartre...