Details

Autor(en) / Beteiligte

• Dong, Qian
• Sun, Guo-Hua
• He, Bing
• Dong, Shi-Hai

Titel

Semi-exact solutions of sextic potential plus a centrifugal term

Ist Teil von

• Journal of mathematical chemistry, 2020-11, Vol.58 (10), p.2197-2203

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We revisit the one-dimensional quantum system of a sextic potential added with a centrifugal term, V ( x ) = a x - 2 + b x 2 + c x 4 + d x 6 , where the parameters a , b , c and d are arbitrary. We find that its solutions can be expressed as a Biconfluent Heun function H B ( α , β , γ , δ ; z ) , while the associated energy spectrum is determined by the parameter δ . The semi-exact solutions of wave functions fully consist with the properties of the potential.