Consider the one-dimensional problem of a particle of mass m in a potential V = 00, I < 0, V = 0, 0 a. (a) Show that the bound state energies (E < Vo) are given by the equation V2mEa tan E E Vo (b) Without solving any further, sketch the ground state wave function.

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Consider the one-dimensional problem of a particle of mass m in a
potential
V = 00, r<0,
V = 0,
0<r<a,
V
Vo. x > a.
%3D
(a) Show that the bound state energies (E < Vo) are given by the
equation
V2mEa
tan
E
Vo
E
(b) Without solving any further, sketch the ground state wave function.
Transcribed Image Text:Consider the one-dimensional problem of a particle of mass m in a potential V = 00, r<0, V = 0, 0<r<a, V Vo. x > a. %3D (a) Show that the bound state energies (E < Vo) are given by the equation V2mEa tan E Vo E (b) Without solving any further, sketch the ground state wave function.
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