Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
The two‐dimensional (2D) relativistic bound states of a spinless particle placed in scalar S(r) and vector V(r) Cornell potentials (with S(r) > V(r)) are obtained under the influence of external magnetic and Aharonov‐Bohm (AB) flux fields using the wave function ansatz method.
Sameer M. Ikhdair, Ira Rothstein
wiley +1 more source
Approximate l‐States of the Manning‐Rosen Potential by Using Nikiforov‐Uvarov Method
The approximately analytical bound state solutions of the l‐wave Schrödinger equation for the Manning‐Rosen (MR) potential are carried out by a proper approximation to the centrifugal term. The energy spectrum formula and normalized wave functions expressed in terms of the Jacobi polynomials are both obtained for the application of the Nikiforov‐Uvarov
Sameer M. Ikhdair +2 more
wiley +1 more source
We present the analytical solutions of the Klein‐Gordon equation for q‐deformed equal vector and scalar Eckart potential for arbitrary l‐state. We obtain the energy spectrum and the corresponding unnormalized wave function expressed in terms of the Jacobi polynomial. We also discussed the special cases of the potential.
Ita O. Akpan +4 more
wiley +1 more source
Calculation of the Structure of a Shrub in the Mandelbrot Set
We calculate the external arguments of the structure of any shrub in the Mandelbrot set. Before calculating, we revise, expand, and clarify some tools useful for this paper: harmonics, pseudoharmonics, the concept of structure, the structure of a shrub, and the ancestral route.
G. Pastor +6 more
wiley +1 more source
EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN–GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL [PDF]
We present the exact solution of the Klein–Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov–Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution
Ikhdair, Sameer M., Sever, Ramazan
openaire +2 more sources
Simulation of Short-range Interaction by Means of Composition of Pseudoharmonic Potentials
The spherically symmetric short-range interaction for the physical system with a finitenumber of bound states is simulated with the help of smooth confinement potential of newtype which is constructed by means of composition of pseudoharmonic potentials. The exactwave functions and energy levels are found.
Kudryashov, V. V., Baran, A. V.
openaire +4 more sources
Abstract In this paper, we investigate the quantum dynamics of a non-relativistic particle confined by the Aharonov–Bohm quantum flux field with pseudoharmonic-type potential in the background of topological defect produced by a point-like global monopole.
openaire +2 more sources
Exact solutions of [Formula: see text]-dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics. [PDF]
Okorie US +7 more
europepmc +1 more source
Dirac Oscillator in the presence of pseudoharmonic potential in the spinning cosmic string spacetime
Abstract The Dirac equation is the gateway for relativistic quantum mechanics which evolved into the Quantum Field Theory. We study the Dirac oscillator as an exactly soluble model in the context of many particle models in relativistic quantum mechanics.
Gusti Faisal Farid +3 more
openaire +1 more source

