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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7053e0c1-15b6-4c7f-91f2-9dbfb1ce54b1%2Fba80a7ec-5dbf-4e91-84c3-692a48c3d6ae%2Fvz4rzji_processed.jpeg&w=3840&q=75)
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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