Problem 1. +1 Two objects, A and B, have irregular forms and are identical in size and shape. Object A is filled with a positively infinite (impenetrable) potential and scatters particles of mass m. Object B is made of metal and has a certain electrostatic capacity C when isolated from other objects. Derive expressions for the differential and total cross sections for elastic scattering of particles of mass m by object A in the limit k → 0, in terms of the capacity C of object B.
Problem 1. +1 Two objects, A and B, have irregular forms and are identical in size and shape. Object A is filled with a positively infinite (impenetrable) potential and scatters particles of mass m. Object B is made of metal and has a certain electrostatic capacity C when isolated from other objects. Derive expressions for the differential and total cross sections for elastic scattering of particles of mass m by object A in the limit k → 0, in terms of the capacity C of object B.
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