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Comparison of the energy levels of an infinite and finite potential well

Comparison of the energy levels of an infinite and finite potential well. Infinite well number of bound states is infinite. Finite well number of bound states is finite energy of bound states must be < V o for given n the energy of the state is somewhat lower than for infinite well

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Comparison of the energy levels of an infinite and finite potential well

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  1. Comparison of the energy levels of an infinite and finite potential well • Infinite well • number of bound states is infinite • Finite well • number of bound states is finite • energy of bound states must be <Vo • for given n the energy of the state is • somewhat lower than for infinite well • wave function is more spread out

  2. Comparison of the energy levels of an infinite and finite potential well atomic physics case (1-dimensional) Bound state energy: me=511 keV/c2 Test case: V0=300 eV 0.0003 MeV a=0.2 nm 200000 fm infinite potential well:

  3. Comparison of the energy levels of an infinite and finite potential well nuclear physics case (1-dimensional) Bound state energy: mn=931.5 MeV/c2 Test case: V0=54.7 MeV a=3.96 fm infinite potential well:

  4. Energy levels of an infinite square well potential nuclear physics case (3-dimensional) Schrödinger equation: V(r) R r J.M.Eisenberg, W.Greiner: Nuclear Theory 1, p.188

  5. Comparison of the energy levels of an infinite and finite potential well nuclear physics case: 36Ca, 36S (3-dimensional) ℓ=0 energies: ℓ=1 energies: ℓ=2 energies:

  6. Depth of the potential square well deuteron case (3-dimensional) ℓ=0 energies:

  7. Energy levels of finite square well potentials for ℓ=0 bound states of 4He, 16O, 40Ca and 208Pb (3-dimensional)

  8. Wave function in a finite square well potential wave function of deuteron Ι ΙΙ normalisation:

  9. Mean square radius – a measure of the nuclear size outer region inner region

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