Abstract
The exact solutions of the 2D Schrödinger equation with the inverse square root potential V(r)=-a/r (a > 0) are found as the Biconfluent Heun function HB(α,β,γ,δ;z) . The wave functions with the variation of the potential parameter a and angular momentum quantum number m are illustrated graphically.
Original language | English |
---|---|
Article number | 035202 |
Journal | Laser Physics |
Volume | 32 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2022 |
Keywords
- 2D Schrödinger equation
- Biconfluent Heun function
- exact solutions
- inverse square root potential