10 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…
Generalized Radial Equations in a Quantum N-Body Problem
Zhong-Qi Ma, Bing Duan, Xiao-Yan Gu
We demonstrate how to separate the rotational degrees of freedom in a quantum N-body problem completely from the internal ones. It is shown that any common eigenfunction of the tot…
Exact solution to the Schrödinger equation for the quantum rigid body
Zhong-Qi Ma
The exact solution to the Schrödinger equation for the rigid body with the given angular momentum and parity is obtained. Since the quantum rigid body can be thought of as the simp…
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…