7:4. SIMPLE MODEL FOR NEUTRON SCATTERING LENGTHS

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CHAPTER 7 NEUTRON SCATTERING THEORY
71. SOLUTION OF THE SCHRODINGER EQUATION
72. SCATTERING CROSS SECTIONS
74. SIMPLE MODEL FOR NEUTRON SCATTERING LENGTHS
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71. SOLUTION OF THE SCHRODINGER EQUATION
Scattered spherical wave
Incident plane wave
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DERIVATIONS
Schrodinger Equation
Hamiltonian
Eigenvalue (energy)
Eigenfunction
incident plane wave
scattered spherical wave
Scattering amplitude
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72. SCATTERING CROSS SECTIONS
Incident neutron current
Scattered neutron current
Scattering cross section
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74. SIMPLE MODEL FOR NEUTRON SCATTERING LENGTHS
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DERIVATIONS
Schrodinger Equation
Solution outside of the well
Solution inside of the well
Boundary condition
Obtain
Combine to obtain transcendental equation
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PLOT
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COMMENTS
-- Scattering is not a quantum mechanics problem
(there are no bound states). It is a classical
mechanics problem. -- However, the Quantum
Mechanics formalism is well suited to describe
scattering.