77,734 research outputs found
Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential
The concepts of spin and pseudospin symmetries has been used as mere
rhetorics to decorate the pseudoscalar potential [Chin. Phys. B 22 090301
(2013)]. It is also pointed out that a more complete analysis of the bound
states of fermions in a a pseudoscalar Cornell potential has already been
published elsewhere.Comment: 6 pages, to appear in Chi. Phys.
On the bound-state spectrum of a nonrelativistic particle in the background of a short-ranged linear potential
The nonrelativistic problem of a particle immersed in a triangular potential
well, set forth by N.A. Rao and B.A. Kagali, is revised. It is shown that these
researchers misunderstood the full meaning of the potential and obtained a
wrong quantization condition. By exploring the space inversion symmetry, this
work presents the correct solution to this problem with potential applications
in electronics in a simple and transparent way
Comment on "Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential"
It is shown that the paper "Wave functions for a Duffin-Kemmer-Petiau
particle in a time-dependent potential", by Merad and Bensaid [J. Math. Phys.
48, 073515 (2007)] is not correct in using inadvertently a non-Hermitian
Hamiltonian in a formalism that does require Hermitian Hamiltonians.Comment: 2 page
Unified Treatment of Mixed Vector-Scalar Screened Coulomb Potentials for Fermions
The problem of a fermion subject to a general mixing of vector and scalar
screened Coulomb potentials in a two-dimensional world is analyzed and
quantization conditions are found.Comment: 7 page
Relativistic Effects of Mixed Vector-Scalar-Pseudoscalar Potentials for Fermions in 1+1 Dimensions
The problem of fermions in the presence of a pseudoscalar plus a mixing of
vector and scalar potentials which have equal or opposite signs is
investigated. We explore all the possible signs of the potentials and discuss
their bound-state solutions for fermions and antifermions. The cases of mixed
vector and scalar P\"{o}schl-Teller-like and pseudoscalar kink-like potentials,
already analyzed in previous works, are obtained as particular cases
New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
New exact analytical bound-state solutions of the D-dimensional Klein-Gordon
equation for a large set of couplings and potential functions are obtained via
mapping onto the nonrelativistic bound-state solutions of the one-dimensional
generalized Morse potential. The eigenfunctions are expressed in terms of
generalized Laguerre polynomials, and the eigenenergies are expressed in terms
of solutions of irrational equations at the worst. Several analytical results
found in the literature, including the so-called Klein-Gordon oscillator, are
obtained as particular cases of this unified approac
Atomically thin dilute magnetism in Co-doped phosphorene
Two-dimensional dilute magnetic semiconductors can provide fundamental
insights in the very nature of magnetic orders and their manipulation through
electron and hole doping. Despite the fundamental physics, due to the large
charge density control capability in these materials, they can be extremely
important in spintronics applications such as spin valve and spin-based
transistors. In this article, we studied a two-dimensional dilute magnetic
semiconductors consisting of phosphorene monolayer doped with cobalt atoms in
substitutional and interstitial defects. We show that these defects can be
stabilized and are electrically active. Furthermore, by including holes or
electrons by a potential gate, the exchange interaction and magnetic order can
be engineered, and may even induce a ferromagnetic-to-antiferromagnetic phase
transition in p-doped phosphorene.Comment: 7 pages, 4 colorful figure
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