64 research outputs found
PT-symmetric Solutions of Schrodinger Equation with position-dependent mass via Point Canonical Transformation
PT-symmetric solutions of Schrodinger equation are obtained for the Scarf and
generalized harmonic oscillator potentials with the position-dependent mass. A
general point canonical transformation is applied by using a free parameter.
Three different forms of mass distributions are used. A set of the energy
eigenvalues of the bound states and corresponding wave functions for target
potentials are obtained as a function of the free parameter.Comment: 13 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
Source correlation of biomarkers in a mangrove ecosystem on Santa Catarina Island in southern Brazil
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