458 research outputs found
Approximate l-State Solutions of the Klein-Gordon Equation for Modified Woods-Saxon Potential With Position Dependent Mass
The radial part of the Klein-Gordon equation for the generalized Woods-Saxon
potential is solved by using the Nikiforov-Uvarov method in the case of
spatially dependent mass within the new approximation scheme to the centrifugal
potential term. The energy eigenvalues and corresponding normalized
eigenfunctions are computed. The solutions in the case of constant mass are
also studied to check out the consistency of our new approximation scheme.Comment: 15 page
An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials
Analytical solutions of the Klein-Gordon equation are obtained by reducing
the radial part of the wave equation to a standard form of a second order
differential equation. Differential equations of this standard form are
solvable in terms of hypergeometric functions and we give an algebraic
formulation for the bound state wave functions and for the energy eigenvalues.
This formulation is applied for the solutions of the Klein-Gordon equation with
some diatomic potentials.Comment: 13 page
Analytical Solutions of Schr\"odinger Equation for the diatomic molecular potentials with any angular momentum
Analytical solutions of the Schrodinger equation are obtained for some
diatomic molecular potentials with any angular momentum. The energy eigenvalues
and wave functions are calculated exactly. The asymptotic form of the equation
is also considered. Algebraic method is used in the calculations.Comment: 21 page
Exponential Type Complex and non-Hermitian Potentials within Quantum Hamilton-Jacobi Formalism
PT-/non-PT-symmetric and non-Hermitian deformed Morse and Poschl-Teller
potentials are studied first time by quantum Hamilton-Jacobi approach. Energy
eigenvalues and eigenfunctions are obtained by solving quantum Hamilton-Jacobi
equation.Comment: 16 page
Feinberg-Horodecki Equation with P\"oschl-Teller Potential: Space-like Coherent States
We obtain the quantized momentum solutions, , of the
Feinberg-Horodecki equation. We study the space-like coherent states for the
space-like counterpart of the Schr\"odinger equation with trigonometric
P\"oschl-Teller potential which is constructed by temporal counterpart of the
spatial P\"oschl-Teller potential.Comment: 8 page
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