TY - JOUR
T1 - Exact Solutions of the Razavy Cosine Type Potential
AU - Dong, Shishan
AU - Dong, Qian
AU - Sun, Guo Hua
AU - Femmam, S.
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2018 Shishan Dong et al.
PY - 2018
Y1 - 2018
N2 - We solve the quantum system with the symmetric Razavy cosine type potential and find that its exact solutions are given by the confluent Heun function. The eigenvalues are calculated numerically. The properties of the wave functions, which depend on the potential parameter a, are illustrated for a given potential parameter ξ. It is shown that the wave functions are shrunk to the origin when the potential parameter a increases. We note that the energy levels ϵi (i∈[1,3]) decrease with the increasing potential parameter a but the energy levels ϵi (i∈[4,7]) first increase and then decrease with the increasing a.
AB - We solve the quantum system with the symmetric Razavy cosine type potential and find that its exact solutions are given by the confluent Heun function. The eigenvalues are calculated numerically. The properties of the wave functions, which depend on the potential parameter a, are illustrated for a given potential parameter ξ. It is shown that the wave functions are shrunk to the origin when the potential parameter a increases. We note that the energy levels ϵi (i∈[1,3]) decrease with the increasing potential parameter a but the energy levels ϵi (i∈[4,7]) first increase and then decrease with the increasing a.
UR - http://www.scopus.com/inward/record.url?scp=85055487760&partnerID=8YFLogxK
U2 - 10.1155/2018/5824271
DO - 10.1155/2018/5824271
M3 - Artículo
AN - SCOPUS:85055487760
SN - 1687-7357
VL - 2018
JO - Advances in High Energy Physics
JF - Advances in High Energy Physics
M1 - 5824271
ER -