Question: For the case E = 0 of a particle in a rectangular well of depth V0, the solution to the SchrÃ¶dinger equation inside the well

For the case E = 0 of a particle in a rectangular well of depth V0, the solution to the SchrÃ¶dinger equation inside the well is (II = ax + b [see the discussion after Eq. (2.19)].
In Eq. 2.19

(a) Use the boundary conditions to find four equations relating the constants a and b to C and G in the equation preceding (2.32).
In Eq. 2.32

(b) Show that if C > 0 (or if C (c) Show that C = 0 gives ( = 0 everywhere. Hence, E = 0 is not allowed.

sin (2m/1

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