(b) Consider Aparticle of mass m is confined within a cylindrical cavity having curved boundaries at...

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(b) Consider Aparticle of mass m is confined within a cylindrical cavity having curved boundaries at p = a and z = ±L/2. Obtain the solution of the time-independent Schröger equation ħ² -² (F) = E(F) 2m in the cylindrical coordinates (p, o, z) using the technique of separation of variables. The boundary conditions are such that vanishes at the boundaries. Show that the ground state energy can be obtained as h MENA 2m a a =) where a is the first zero of the Bessel function Jo (2). (b) Consider Aparticle of mass m is confined within a cylindrical cavity having curved boundaries at p = a and z = ±L/2. Obtain the solution of the time-independent Schröger equation ħ² -² (F) = E(F) 2m in the cylindrical coordinates (p, o, z) using the technique of separation of variables. The boundary conditions are such that vanishes at the boundaries. Show that the ground state energy can be obtained as h MENA 2m a a =) where a is the first zero of the Bessel function Jo (2).

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shows a solution to the timeindependent Schrdinger equation for a particle of massm... View the full answer