8 papers
The (2+1) Dirac Equations with Potential
Shi-Hai Dong, Zhong-Qi Ma
In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric -potential are discussed. It is surprisingly found that the relation between th…
A new dynamical group approach to the modified Poschl-Teller potential
Shi-Hai Dong, R. Lemus
The properties of the modified Pöschl-Teller (MPT) potential are outlined. The ladder operators are constructed directly from the wave functions without introducing any auxiliary v…
Exact Solutions of the two-dimensional Schrödinger equation with certain central potentials
Shi-Hai Dong
By applying an ansatz to the eigenfunction, an exact closed form solution of the Schrödinger equation in 2D is obtained with the potentials, , $V(r)=ar+br^2+cr…
Exact Solutions of the Schrodinger Equation with Inverse-Power Potential in Two Dimensions
Shi-Hai Dong, Zhong-Qi Ma, Giampiero Esposito
The Schrodinger equation for stationary states is studied in a central potential V(r) proportional to the inverse power of r of degree beta in an arbitrary number of spatial dimens…
The Exact Solution to the Schrödinger Equation with the Octic Potential
Shi-Hai Dong, Zhong-Qi Ma
The Schrödinger equation with the central potential is first studied in the arbitrary dimensional spaces and obtained an analogy of the two-dimensional Schrödinger equation for the…
Exact Solutions to the Schrödinger Equation for the Inverse-Power Potential in Two Dimensions
Shi-Hai Dong, Zhong-Qi Ma
Utilizing an for the eigenfunctions, we arrive at an exact closed form solution to the Schrödinger equation with the inverse-power potential, $V(r)=ar^{-4}+br^{-3}+c…