Spherical delta shell potential. Consider a quantum particle in three dimensions, interacting with a spherical delta she

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Spherical delta shell potential. Consider a quantum particle in three dimensions, interacting with a spherical delta she

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Spherical Delta Shell Potential Consider A Quantum Particle In Three Dimensions Interacting With A Spherical Delta She 1
Spherical Delta Shell Potential Consider A Quantum Particle In Three Dimensions Interacting With A Spherical Delta She 1 (84.75 KiB) Viewed 38 times
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.
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