Spherical delta shell potential. Consider a quantum particle in three dimensions, interacting with a spherical delta she
Posted: Fri Apr 29, 2022 12:06 pm
Spherical delta shell potential. Consider a quantum particle in three dimensions, interacting with a spherical delta shell potential V(r) = -10(r – a) (with a, 1 > 0). (a) Obtain its s-wave (l = 0) scattering states and the reflection amplitude and coefficient for an incoming radial wave e ikr (b) Obtain the condition on ) for the existence of a bound state with l=0. Determine its normalized wave function. (e) Find the minimal potential strength required for the existence of a bound state for l > 0. Hint: consider the limit E+0.