In this paper, the properties of the surface polaron of interacting with the deformation potential in polar crystals, which has a weak coupling with surface acoustic phonon and a strong coupling with surface optical phonons, are studied.

ome properties of a surface polaron both,strongly and weakly coupled with acoustic phonons via the deformation potential for 2D nonpolar crystals in magnetic field are studied.

An effective Hamiltonian of surface polaron interacting with the deformation potential in polar crystals was derived by using improved linear combination operator method.

In this paper,we use the symmetrical theory in the quantum mechanics to analyze how the system s symmetry affects the energy-level degeneracy in axial symmetry deformed potential and non-axial symmetry deformed potential in the nuclear shell model.

This article presents a method to solve the eigenvalue and eigenfunction of shape invariant potentials by using the fundamental concepts of supersymmetric quantum mechanics.

It is illustrated that the SWKB method has more advantages while calculating the shape invariant potentials.

The circulation background and its pattern evolution of 100hPa and 500hPa in October 2000 are analyzed from the angle of extended forecast.

By the method of mapping of shape invariant potentials under point canonical tra nsformations, the bound state spectra and eigenfunctions of the Hulthén potential from the known results of Pschl\|Teller Ⅰ potential were f ound.

This article shows that for all one dimensional shape invariant potentials with parameters related by translation we can find their multiparameter deformations with q acting as the deformation parameter.