173 citations · 773 across the 46 of their papers we have counts for
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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…
Levinson's theorem for the Schrödinger equation in one dimension
Shi-Hai Dong, Zhong-Qi Ma
Levinson's theorem for the one-dimensional Schrödinger equation with a symmetric potential, which decays at infinity faster than , is established by the Sturm-Liouville the…
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…
Exact Solutions to the Schrödinger Equation for the potential in 2D
Shi-Hai Dong, Zhong-Qi Ma
Making use of an for the eigenfunctions, we obtain an exact closed form solution to the non-relativistic Schrödinger equation with the anharmonic potential, $V(r)=a…
Levinson's Theorem for the Klein-Gordon Equation in Two Dimensions
Shi-Hai Dong, Xi-Wen Hou, Zhong-Qi Ma
The two-dimensional Levinson theorem for the Klein-Gordon equation with a cylindrically symmetric potential is established. It is shown that $N_{m}π=π(n_{m}^{+}-n_{m}^{-})=…
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…
The Relativistic Levinson Theorem in Two Dimensions
Shi-Hai dong, Xi-Wen Hou, Zhong-Qi Ma
In the light of the generalized Sturm-Liouville theorem, the Levinson theorem for the Dirac equation in two dimensions is established as a relation between the total number …
Levinson's Theorem for Non-local Interactions in Two Dimensions
Shi-Hai dong, Xi-Wen Hou, Zhong-Qi Ma
In the light of the Sturm-Liouville theorem, the Levinson theorem for the Schrödinger equation with both local and non-local cylindrically symmetric potentials is studied. It is pr…
Levinson's theorem for the Schrödinger equation in two dimensions
Shi-Hai dong, Xi-Wen Hou, Zhong-Qi Ma
Levinson's theorem for the Schrödinger equation with a cylindrically symmetric potential in two dimensions is re-established by the Sturm-Liouville theorem. The critical case, wher…
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…