The general solution of the Schrodinger equation for a particle confined in an infinite square-well potential (where V = 0) of width L is v(x) = C sin kr + Dcoskx V2mE k = where C and D are constants, E is the energy of the particle and m is the mass of the particle. Show that the energy E of the particle inside the square-well potential is quantised.

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Chapter7: Quantum Mechanics
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Problem 7.2CYU: Check Your Understanding Suppose that a particle with energy E is moving along the x-axis and is in...
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The general solution of the Schrodinger equation for a particle confined in
an infinite square-well potential (where V = 0) of width L is
w(x)= C sin kx + Dcos kx
V2mE
k
where C and D are constants, E is the energy of the particle and m is
the mass of the particle. Show that the energy E of the particle inside the
square-well potential is quantised.
Transcribed Image Text:The general solution of the Schrodinger equation for a particle confined in an infinite square-well potential (where V = 0) of width L is w(x)= C sin kx + Dcos kx V2mE k where C and D are constants, E is the energy of the particle and m is the mass of the particle. Show that the energy E of the particle inside the square-well potential is quantised.
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