scholarly journals Interaction of the generalized Duffin–Kemmer–Petiau equation with a non-minimal coupling under the cosmic rainbow gravity

2021 ◽  
Author(s):  
M. Hosseinpour ◽  
H. Hassanabadi ◽  
J. Kriz ◽  
S. Hassanabadi ◽  
B. C. Lütfüoğlu
Keyword(s):  
Quantum Dynamics ◽  
Geometric Model ◽  
Relativistic Quantum ◽  
Energy Eigenvalue ◽  
Topological Defects ◽  
Geometric Approach ◽  
Wave Functions ◽  
Minimal Coupling ◽  
Energy Eigenvalues ◽  
Function Selection

In this study, we survey the generalized Duffin–Kemmer–Petiau oscillator containing a non-minimal coupling interaction in the context of rainbow gravity in the presence of the cosmic topological defects in space-time. In this regard, we intend to investigate relativistic quantum dynamics of a spin-0 particle under the modification of the dispersion relation according to the Katanaev–Volovich geometric approach. Thus, based on the geometric model, we study the aforementioned bosonic system under the modified background by a few rainbow functions. In this way, by using an analytical method, we acquire energy eigenvalues and corresponding wave functions to each scenario. Regardless of rainbow gravity function selection, the energy eigenvalue can present symmetric, anti-symmetric, and symmetry breaking characteristics. Besides, one can see that the deficit angular parameter plays an important role in the solutions.

Relativistic quantum motion of spin-0 particles with a Cornell-type potential in (1 + 2)-dimensional Gürses spacetime backgrounds

2019 ◽  
Vol 34 (38) ◽  
pp. 1950314 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Dynamics ◽  
Gordon Equation ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Klein Gordon ◽  
Quantum Motion ◽  
Type Potential ◽  
Klein Gordon Equation

In this work, we investigate the relativistic quantum dynamics of spin-0 particles in the background of (1 + 2)-dimensional Gürses spacetime [M. Gürses, Class. Quantum Grav. 11, 2585 (1994)] with interactions. We solve the Klein–Gordon equation subject to Cornell-type scalar potential in the considered framework, and evaluate the energy eigenvalues and corresponding wave functions, in detail.

scholarly journals Geometric approach to non-relativistic quantum dynamics of mixed states

2013 ◽  
Vol 54 (5) ◽  
pp. 052108 ◽  
Author(s):  
Vicent Gimeno ◽  
Jose M. Sotoca
Keyword(s):  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Geometric Approach ◽  
Mixed States

LANDAU QUANTIZATION FOR A NEUTRAL PARTICLE IN THE PRESENCE OF TOPOLOGICAL DEFECTS

2012 ◽  
Vol 18 ◽  
pp. 101-104
Author(s):  
L. R. RIBEIRO ◽  
K. BAKKE ◽  
C. FURTADO
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Quantum Dynamics ◽  
Magnetic Dipole Moment ◽  
Short Communication ◽  
Neutral Particle ◽  
Topological Defect ◽  
Relativistic Quantum ◽  
Topological Defects ◽  
Landau Levels

In this short communication, we study the Landau levels in the non-relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in curved spacetime background with the presence or absence of a torsion field. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels.

scholarly journals Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential

2014 ◽  
Vol 69 (3-4) ◽  
pp. 163-172 ◽  
Author(s):  
Altuğ Arda ◽  
Ramazan Sever
Keyword(s):  
Dirac Equation ◽  
Analytical Solutions ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
K Value ◽  
Energy Eigenvalues ◽  
Approximate Analytical Solutions ◽  
Hellmann Potential ◽  
Uvarov Method ◽  
Spinor Wave

Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, the Wei-Hua potential, and the Varshni potential with any k-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n;κ).

scholarly journals Solution of The Schrödinger Equation for Trigonometric Scarf Plus Poschl-Teller Non-Central Potential Using Supersymmetry Quantum Mechanics

2016 ◽  
Vol 4 (01) ◽  
pp. 1 ◽  
Author(s):  
Cari C ◽  
Suparmi S ◽  
Antomi Saregar
Keyword(s):  
Ground State ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
State Wave ◽  
Shape Invariant ◽  
Raising Operator ◽  
Invariant Properties ◽  
Lowering Operator ◽  
Exact Energy

<span>In this paper, we show that the exact energy eigenvalues and eigen functions of the Schrödinger <span>equation for charged particles moving in certain class of noncentral potentials can be easily <span>calculated analytically in a simple and elegant manner by using Supersymmetric method <span>(SUSYQM). We discuss the trigonometric Scarf plus Poschl-Teller systems. Then, by operating <span>the lowering operator we get the ground state wave function, and the excited state wave functions <span>are obtained by operating raising operator repeatedly. The energy eigenvalue is expressed in the <span>closed form obtained using the shape invariant properties. The results are in exact agreement with <span>other methods.</span></span></span></span></span></span></span><br /></span>

Landau quantization for an induced electric dipole in the presence of topological defects

Open Physics ◽  
2010 ◽  
Vol 8 (6) ◽  
Author(s):  
Knut Bakke ◽  
Lincoln Ribeiro ◽  
Claudio Furtado
Keyword(s):  
Electromagnetic Field ◽  
Electric Dipole ◽  
Quantum Dynamics ◽  
Topological Defect ◽  
Relativistic Quantum ◽  
Topological Defects ◽  
Field Configuration ◽  
Landau Levels ◽  
Neutral Atoms ◽  
Electric Dipoles

AbstractIn this contribution we investigate the non-relativistic quantum dynamics of induced electric dipoles in the presence of a topological defect. We propose an analog of Landau quantization for neutral atoms, where a electric dipole is induced by the electromagnetic field configuration. We investigate this system in the presence of a topological defect and show that it breaks the infinite degeneracy of Landau levels.

Klein–Gordon field in spinning cosmic-string space-time with the Cornell potential

2018 ◽  
Vol 15 (10) ◽  
pp. 1850165 ◽  
Author(s):  
Mansoureh Hosseinpour ◽  
Hassan Hassanabadi ◽  
Marc de Montigny
Keyword(s):  
Scalar Field ◽  
Cosmic String ◽  
Quantum Dynamics ◽  
Topological Defects ◽  
Space Time ◽  
Wave Functions ◽  
Physical Parameters ◽  
Gravitational Fields ◽  
Cornell Potential ◽  
Klein Gordon

We study the relativistic quantum dynamics of a Klein–Gordon scalar field subject to a Cornell potential in spinning cosmic-string space-time, in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We solve the Klein–Gordon equation in the presence of scalar and vector interactions by utilizing the Nikiforov–Uvarov formalism and two ansätze, one of which leads to a biconfluent Heun differential equation. We obtain the wave-functions and the energy levels of the relativistic field in that space-time. We discuss the effect of various physical parameters and quantum numbers on the wave-functions.

Aharonov–Bohm effect for bound states on spin-0 scalar charged particles in a rotating cosmic string space–time with Coulomb potentials

2020 ◽  
Vol 35 (20) ◽  
pp. 2050101
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Quantum Dynamics ◽  
Bound States ◽  
Relativistic Quantum ◽  
Charged Particles ◽  
Topological Defects ◽  
Space Time ◽  
Vector Potentials ◽  
Bohm Effect ◽  
Aharonov Bohm

In this paper, we study the relativistic quantum dynamics of spin-0 scalar charged particles with a magnetic quantum flux produced by topological defects in a rotating cosmic string space–time. We solve the Klein–Gordon equation subject to Coulomb-type scalar and vector potentials in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze the analogue effect to Aharonov–Bohm effect for bound states.

scholarly journals Wavefront dislocations reveal the topology of quasi-1D photonic insulators

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Clément Dutreix ◽  
Matthieu Bellec ◽  
Pierre Delplace ◽  
Fabrice Mortessagne
Keyword(s):  
Local Density ◽  
Topological Defects ◽  
Wave Functions ◽  
Topological Classification ◽  
Local Density Of States ◽  
Topological Phase Transition ◽  
Interference Fringes ◽  
Classical Wave ◽  
Phase Singularities

AbstractPhase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects can lead to wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of wave functions are also at the heart of the topological classification of the gapped phases of matter. Despite identical singular features, topological insulators and topological defects in waves remain two distinct fields. Realising 1D microwave insulators, we experimentally observe a wavefront dislocation – a 2D phase singularity – in the local density of states when the systems undergo a topological phase transition. We show theoretically that the change in the number of interference fringes at the transition reveals the topological index that characterises the band topology in the insulator.

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