6 papers · 1 filter
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…
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…
Schrödinger Equation with the Potential
Shi-Hai Dong, Xi-wen Hou, Zhong-Qi Ma
By making use of an for the eigenfunction, we obtain the exact solutions to the Schrödinger equation with the anharmonic potential, , b…
On the Stronger Statement of Levinson's Theorem for the Dirac Equation
Zhong-Qi Ma
Recently a stronger statement of Levinson's theorem for the Dirac equation was presented, where the limits of the phase shifts at are related to the numbers of nodes of r…