14 research outputs found
Coulomb potential in one dimension with minimal length: A path integral approach
We solve the path integral in momentum space for a particle in the field of
the Coulomb potential in one dimension in the framework of quantum mechanics
with the minimal length given by
, where is a small positive
parameter. From the spectral decomposition of the fixed energy transition
amplitude we obtain the exact energy eigenvalues and momentum space
eigenfunctions
Effect of Minimal lengths on Electron Magnetism
We study the magnetic properties of electron in a constant magnetic field and
confined by a isotropic two dimensional harmonic oscillator on a space where
the coordinates and momenta operators obey generalized commutation relations
leading to the appearance of a minimal length. Using the momentum space
representation we determine exactly the energy eigenvalues and eigenfunctions.
We prove that the usual degeneracy of Landau levels is removed by the presence
of the minimal length in the limits of weak and strong magnetic field.The
thermodynamical properties of the system, at high temperature, are also
investigated showing a new magnetic behavior in terms of the minimal length.Comment: 14 pages, 1 figur
Hawking radiation and thermodynamics of dynamical black holes in phantom dominated universe
The thermodynamic properties of dark energy-dominated universe in the
presence of a black hole are investigated in the general case of a varying
equation-of-state-parameter . We show that all the thermodynamics
quantities are regular at the phantom divide crossing, and particularly the
temperature and the entropy of the dark fluid are always positive definite. We
also study the accretion process of a phantom fluid by black holes and the
conditions required for the validity of the generalized second law of
thermodynamics. As a results we obtain a strictly negative chemical potential
and an equation-of-state parameter Comment: 22 pages,3 figure
Response to letter to the editor from Dr Rahman Shiri: The challenging topic of suicide across occupational groups
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