scholarly journals The spin-one DKP equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum

2020 ◽  
pp. 2150021
Author(s):  
B. Hamil ◽  
B. C. Lütfüoğlu ◽  
H. Aounallah
Keyword(s):  
Energy Spectrum ◽  
Bound States ◽  
Space Representation ◽  
Position Space ◽  
Vector Coupling ◽  
Dkp Equation ◽  
Vector Interaction ◽  
Coupling Parameters

In this work, we consider the relativistic Duffin–Kemmer–Petiau equation for spin-one particles with a nonminimal vector interaction in the presence of minimal uncertainty in momentum. By using the position space representation, we exactly determine the bound-states spectrum and the corresponding eigenfunctions. We discuss the effects of the deformation and nonminimal vector coupling parameters on the energy spectrum analytically and numerically.

scholarly journals Fermions in the Rindler spacetime

2019 ◽  
Vol 16 (09) ◽  
pp. 1950140 ◽  
Author(s):  
L. C. N. Santos ◽  
C. C. Barros
Keyword(s):  
Differential Equation ◽  
Wave Equation ◽  
Energy Spectrum ◽  
Dirac Equation ◽  
Reference Frame ◽  
Bound States ◽  
Liouville Problem ◽  
External Potential ◽  
Compact Expression ◽  
Sturm Liouville

In this paper, we study the Dirac equation in the Rindler spacetime. The solution of the wave equation in an accelerated reference frame is obtained. The differential equation associated to this wave equation is mapped into a Sturm–Liouville problem of a Schrödinger-like equation. We derive a compact expression for the energy spectrum associated with the Dirac equation in an accelerated reference. It is shown that the noninertial effect of the accelerated reference frame mimics an external potential in the Dirac equation and, moreover, allows the formation of bound states.

Bound States of Spinless Particles in a Short-Range Potential

2015 ◽  
Vol 70 (4) ◽  
pp. 245-249 ◽  
Author(s):  
Hassan Hassanabadi ◽  
Antonio Soares de Castro
Keyword(s):  
Short Range ◽  
Bound States ◽  
Bound State ◽  
Scalar Coupling ◽  
Spinless Particle ◽  
Vector Coupling ◽  
Short Range Potential ◽  
Range Potential ◽  
Constraint Relation ◽  
Potential Parameters

AbstractWith a general mixing of vector and scalar couplings in a two-dimensional world, a short-range potential is used to explore certain features of the bound states of a spinless particle. Bound-state solutions are found in terms of the Gauss hypergeometric series when the potential parameters obey a certain constraint relation limiting the dosage of a vector coupling. The appearance of the Schiff–Snyder–Weinberg effect for a strong vector coupling and a short-range potential as well as its suppression by the addition of a scalar coupling is discussed.

scholarly journals ESR Study on the Excited State Energy Spectrum of SrCu2(BO3)2–A Central Role of Multiple-Triplet Bound States–

2003 ◽  
Vol 72 (12) ◽  
pp. 3243-3253 ◽  
Author(s):  
Hiroyuki Nojiri ◽  
Hiroshi Kageyama ◽  
Yutaka Ueda ◽  
Mitsuhiro Motokawa
Keyword(s):  
Excited State ◽  
Energy Spectrum ◽  
Bound States ◽  
State Energy ◽  
Excited State Energy

ENERGY SPECTRA OF GLUINONIUM

2011 ◽  
Vol 20 (supp02) ◽  
pp. 200-209
Author(s):  
CÉSAR A. Z. VASCONCELLOS ◽  
DIMITER HADJIMICHEF ◽  
MÁRIO L. L. DA SILVA ◽  
MOISÉS RAZEIRA ◽  
ALEXANDRE MESQUITA ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Excited States ◽  
Bound States ◽  
Bound State ◽  
State Equation ◽  
Relativistic Case ◽  
Light Scalar ◽  
Pseudo Scalar ◽  
Relativistic Bound States

We investigate relativistic bound states for a hypothetical light scalar gluino pair (gluinonium), in the framework of the covariant Bethe-Salpeter equation (BSE). In this paper, we derive, from the covariant BSE for a fermion-anti-fermion system, using charge conjugation, the corresponding bound-state equation for a gluino pair and we then formulate, for a static harmonic kernel, the coupled differential equations for the corresponding static Bethe-Salpeter amplitude. The steps of our approach then include a numerical solution of the Bethe-Salpeter amplitude for a two-body interaction consisting of scalar, pseudo-scalar, and four-vector components and the determination of the energy spectrum for the ground and the radially excited states of massive gluinonium. We found the energy spectrum and radial distributions of fundamental and excited states of gluinonium. The comparison of the values obtained in the extreme relativistic case with the corresponding values predicted by a harmonic oscillator potential model shows that there is good agreement between the two formulations. The predictions of the binding energy of glunionium in the non-relativistic model are however systematically higher.

Bound-states of the -dimensional DKP equation with a pseudoscalar linear plus Coulomb-like potential

2010 ◽  
Vol 374 (29) ◽  
pp. 2907-2913 ◽  
Author(s):  
Y. Chargui ◽  
A. Trabelsi ◽  
L. Chetouani
Keyword(s):  
Bound States ◽  
Dkp Equation

ANDREEV SPECTRUM AND SUPERCURRENT IN A DOUBLE FERROMAGNET CLEAN JOSEPHSON JUNCTION

2007 ◽  
Vol 21 (09) ◽  
pp. 505-529 ◽  
Author(s):  
V. PALTOGLOU ◽  
I. MARGARIS ◽  
N. FLYTZANIS
Keyword(s):  
Energy Spectrum ◽  
Bound States ◽  
Reasonable Agreement ◽  
Double Resonance ◽  
Exchange Field ◽  
Extensive Investigation ◽  
Andreev Bound States ◽  
Weak Exchange ◽  
Interface Potential ◽  
Analytical Formulas

We consider a superconductor/double-ferromagnet/superconductor (S/I1/F/IC/F'/I2/S) ballistic junction with thin insulating layers in the interfaces. An extensive investigation is carried out for the possibility of 0- or π-junction and the important phaseshift. The average exchange field for the two ferromagnets has limited use, only for weak exchange fields. Several analytical formulas are obtained for the energy spectrum in simple cases with interface potential (a) absent, (b) between ferromagnets only, (c) double resonance barrier between S and F layers. They give reasonable agreement even outside their range of validity. For the case of strong S/F barriers we find a strong interplay of Andreev bound states and interbarrier resonances.

scholarly journals Absence of Klein’s paradox for massive bosons coupled by nonminimal vector interactions

2009 ◽  
Vol 87 (11) ◽  
pp. 1185-1189 ◽  
Author(s):  
T. R. Cardoso ◽  
L. B. Castro ◽  
A. S. de Castro
Keyword(s):  
Boundary Conditions ◽  
Step Potential ◽  
Vector Coupling ◽  
Vector Interaction ◽  
Time Component

A few properties of the nonminimal vector interactions in the Duffin–Kemmer–Petiau theory are revised. In particular, it is shown that the space component of the nonminimal vector interaction plays a peremptory role for confining bosons, whereas its time component contributes to the leakage. Scattering in a square step potential with proper boundary conditions is used to show that Klein’s paradox is not manifested in the case of a nonminimal vector coupling.

Optical potential for light nuclei and momentum-space eikonal phase function

2018 ◽  
Vol 96 (6) ◽  
pp. 642-649
Author(s):  
Charles M. Werneth ◽  
K.M. Maung ◽  
M.D. Vera ◽  
L.W. Townsend
Keyword(s):  
Cross Sections ◽  
Momentum Space ◽  
Phase Function ◽  
Optical Potential ◽  
Solution Method ◽  
Radiation Environment ◽  
Space Representation ◽  
Nuclear Fragmentation ◽  
Position Space ◽  
Space Radiation Environment

The space radiation environment comprises all of the nuclei in the periodic table with energies that extend from a fraction of an MeV/n to TeV/n. The vast range of projectile–target and energy combinations necessitates highly efficient and accurate cross section codes for use in radiation transport codes. As particles in the space radiation environment impinge on shielding materials, nuclear reactions, such as nuclear fragmentation, occur. One way of estimating nuclear fragmentation cross sections is to use an abrasion–ablation model, which describes how nucleons are dislodged from the nuclei as a result of nuclear collisions and the mechanism by which excited pre-fragments decay via particle emission to more stable states. The well-known partial wave solution method cannot be used directly for the computation of abrasion cross sections. Instead, abrasion cross sections may be computed by slightly altering the Eikonal solution method, which is a high energy (small scattering angle) approximation that depends on the nucleus–nucleus optical potential. The aim of the current work is to present two efficient methods for the computation of the Eikonal phase shift function. Analytic formulas of the optical potential are presented in the position-space representation for nuclei that are well-represented by harmonic-well nuclear matter densities (A < 20), which reduces the Eikonal phase factor to an integration over a single dimension. Next, the Eikonal phase function is presented in the momentum-space representation, which is particularly useful when the Fourier transform of the position-space optical potential is known. These new methods increase the computational efficiency by three orders of magnitude and allow for rapid prediction of elastic differential, total, elastic, and reaction cross sections in the Eikonal approximation.

scholarly journals Precision Measurement of the Position-Space Wave Functions of Gravitationally Bound Ultracold Neutrons

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Y. Kamiya ◽  
G. Ichikawa ◽  
S. Komamiya
Keyword(s):  
Quantum Mechanics ◽  
Particle Physics ◽  
Bound States ◽  
Wave Functions ◽  
Recent Measurement ◽  
Ultracold Neutrons ◽  
Neutron Guide ◽  
Position Space ◽  
Position Sensitive Detectors ◽  
Space Wave

Gravity is the most familiar force at our natural length scale. However, it is still exotic from the view point of particle physics. The first experimental study of quantum effects under gravity was performed using a cold neutron beam in 1975. Following this, an investigation of gravitationally bound quantum states using ultracold neutrons was started in 2002. This quantum bound system is now well understood, and one can use it as a tunable tool to probe gravity. In this paper, we review a recent measurement of position-space wave functions of such gravitationally bound states and discuss issues related to this analysis, such as neutron loss models in a thin neutron guide, the formulation of phase space quantum mechanics, and UCN position sensitive detectors. The quantum modulation of neutron bound states measured in this experiment shows good agreement with the prediction from quantum mechanics.

Quantum signature of breathers in 1D ultracold bosons in optical lattices involving next-nearest neighbor interactions

2017 ◽  
Vol 31 (20) ◽  
pp. 1750140 ◽  
Author(s):  
Z. I. Djoufack ◽  
A. Kenfack-Jiotsa ◽  
J.-P. Nguenang
Keyword(s):  
Energy Spectrum ◽  
Optical Lattice ◽  
Bound States ◽  
Optical Lattices ◽  
Nearest Neighbor ◽  
Laser Light ◽  
Energy Spectra ◽  
System Parameters ◽  
Quantum Breathers ◽  
Bosonic Atoms

The dynamics and the energy spectrum of an ultracold gas of bosonic atoms in an optical lattice can be described by a Bose–Hubbard model for which the system parameters can be controlled by laser light. We study by means of the perturbation theory in addition to the numerical diagonalization, the energy spectrum and the related features of the band structures of the ultracold bosons in optical lattices containing a few number of quanta interacting with next-nearest neighbor interactions (NNNI) modeled by the Bose–Hubbard Hamiltonian. The energy spectra of such system display the bound states signature, which are analyzed in the first Brillouin zone for different wave numbers. The finding, i.e., quantum breathers, shows that their probabilities’ weight depends on the wave vector. The influence of NNNI on both the probabilities’ amplitude and the correlation function is also realized in case of a system with a small number of sites, respectively.

Sign in / Sign up

Export Citation Format

Share Document