New findings for two new type sine hyperbolic potentials

Publication date: Available online 29 October 2018Source: Physics Letters AAuthor(s): Qian Dong, Guo-Hua Sun, Jian Jing, Shi-Hai DongAbstractWe propose two new type sine hyperbolic potentials V(x)=a2sinh2⁡(x)−ktanh2⁡(x) and V(x)=c2sinh4⁡(x)−ktanh2⁡(x). They may become single- or double-well potentials depending on the potential parameters a,c and k. We find that its exact solutions can be written as the confluent Heun functions Hc(α,β,γ,δ,η;z), in which the energy level E is involved inside the parameter η. The properties of the wave functions, which is strongly relevant for the potential parameters a,c and k, are illustrated.
Source: Physics Letters A - Category: Physics Source Type: research
More News: Physics