31,712 research outputs found
Velocity quantization approach of the one-dimensional dissipative harmonic oscillator
Given a constant of motion for the one-dimensional harmonic oscillator with
linear dissipation in the velocity, the problem to get the Hamiltonian for this
system is pointed out, and the quantization up to second order in the
perturbation approach is used to determine the modification on the eigenvalues
when dissipation is taken into consideration. This quantization is realized
using the constant of motion instead of the Hamiltonian.Comment: 10 pages, 2 figure
Inversion mechanism for the transport current in type-II superconductors
The longitudinal transport problem (the current is applied parallel to some
bias magnetic field) in type-II superconductors is analyzed theoretically.
Based on analytical results for simplified configurations, and relying on
numerical studies for general scenarios, it is shown that a remarkable
inversion of the current flow in a surface layer may be predicted under a wide
set of experimental conditions. Strongly inhomogeneous current density
profiles, characterized by enhanced transport toward the center and reduced, or
even negative, values at the periphery of the conductor, are expected when the
physical mechanisms of flux depinning and consumption (via line cutting) are
recalled. A number of striking collateral effects, such as local and global
paramagnetic behavior, are predicted. Our geometrical description of the
macroscopic material laws allows a pictorial interpretation of the physical
phenomena underlying the transport backflow.Comment: 8 pages, 6 figures (Best quality pictures are available by author's
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One-dimensional relativistic dissipative system with constant force and its quantization
For a relativistic particle under a constant force and a linear velocity
dissipation force, a constant of motion is found. Problems are shown for
getting the Hamiltoninan of this system. Thus, the quantization of this system
is carried out through the constant of motion and using the quantization of the
velocity variable. The dissipative relativistic quantum bouncer is outlined
within this quantization approach.Comment: 11 pages, no figure
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