35 research outputs found
Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation
A simple exact analytical solution of the relativistic Duffin-Kemmer-Petiau
equation within the framework of the asymptotic iteration method is presented.
Exact bound state energy eigenvalues and corresponding eigenfunctions are
determined for the relativistic harmonic oscillator as well as the Coulomb
potentials. As a non-trivial example, the anharmonic oscillator is solved and
the energy eigenvalues are obtained within the perturbation theory using the
asymptotic iteration method.Comment: 17 pages written with LaTeX Revtex4. accepted for publication in
Journal of Mathematical Physic
Polynomial Solutions of Shcrodinger Equation with the Generalized Woods Saxon Potential
The bound state energy eigenvalues and the corresponding eigenfunctions of
the generalized Woods Saxon potential are obtained in terms of the Jacobi
polynomials. Nikiforov Uvarov method is used in the calculations. It is shown
that the results are in a good agreement with the ones obtained before.Comment: 14 pages, 2 figures, submitted to Physical Review
An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems
We derive a formula that simplifies the original asymptotic iteration method
formulation to find the energy eigenvalues for the analytically solvable cases.
We then show that there is a connection between the asymptotic iteration and
the Nikiforov--Uvarov methods, which both solve the second order linear
ordinary differential equations analytically.Comment: RevTex4, 8 page
Polynomial Solution of Non-Central Potentials
We show that the exact energy eigenvalues and eigenfunctions of the
Schrodinger equation for charged particles moving in certain class of
non-central potentials can be easily calculated analytically in a simple and
elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the
generalized Coulomb and harmonic oscillator systems. We study the Hartmann
Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials
as special cases. The results are in exact agreement with other methods.Comment: 18 page
The Klein-Gordon equation with the Kratzer potential in d dimensions
We apply the Asymptotic Iteration Method to obtain the bound-state energy
spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and
vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all
the exact solutions; when the potentials are both of Kratzer type, we obtain
all the exact solutions for S(r)=V(r); if S(r) > V(r) we obtain exact solutions
under certain constraints on the potential parameters: in this case, a possible
general solution is found in terms of a monic polynomial, whose coefficients
form a set of elementary symmetric polynomials.Comment: 13 page
Exact Solutions of the Mass-Dependent Klein-Gordon Equation with the Vector Quark-Antiquark Interaction and Harmonic Oscillator Potential
Using the asymptotic iteration and wave function ansatz method, we present exact solutions of the Klein-Gordon equation for the quark-antiquark interaction and harmonic oscillator potential in the case of the position-dependent mass
Relativistic spin-1 particles with position-dependent mass under the Coulomb interaction: Exact analytical solutions of the DKP equation
WOS:000316555500001The Duffin-Kemmer-Petiau equation with position-dependent mass for relativistic spin-1 particles under equal vector and scalar Coulomb interaction is studied analytically. The energy eigenvalues and corresponding eigenfunctions are obtained using the asymptotic iteration method
Bound states of the Dirac equation with position-dependent mass for the Eckart potential
WOS:000314815200005Studying with the asymptotic iteration method, we present approximate solutions of the Dirac equation for the Eckart potential in the case of position-dependent mass. The centrifugal term is approximated by an exponential form, and the relativistic energy spectrum and the normalized eigenfunctions are obtained explicitly.Erciyes UniversityErciyes University [FBA-09-999]Project supported by Erciyes University-FBA-09-999
Ansatz approach solution of the Duffin-Kemmer-Petiau equation for spin-1 particles with position-dependent mass in the presence of Kratzer-type potential
WOS:000345617000006The relativistic Duffin-Kemmer-Petiau equation for relativistic spin-1 particles with position-dependent mass in the presence of a vector Kratzer-type potential and the absence of a scalar potential is studied analytically. The energy eigenvalues and corresponding eigenfunctions are obtained using the wave function ansatz approach