TY - JOUR
T1 - New findings for two new type sine hyperbolic potentials
AU - Dong, Qian
AU - Sun, Guo Hua
AU - Jing, Jian
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2019/1/12
Y1 - 2019/1/12
N2 - We 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.
AB - We 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.
KW - Confluent Heun function
KW - Exact solution
KW - Sine hyperbolic type potential
UR - http://www.scopus.com/inward/record.url?scp=85055662052&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2018.10.034
DO - 10.1016/j.physleta.2018.10.034
M3 - Artículo
SN - 0375-9601
VL - 383
SP - 270
EP - 275
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 2-3
ER -