(a) The Schrodinger equation for a moving particle in 1-D is given by +Vy = Ey 2m dx? where h is the Planck constant, m is the mass of the particle, y is the wavelength of the radiation generated by the particle, V is the potential of space at the particle and E is the energy of the particle. Describe briefly Max Born's interpretations of the solutions of this equation. (b) The general solution of the Schrodinger equation for a particle confined in an infinite square-well potential (where V = 0) of width L is %3D y (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 sauare-well potential is quantised

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(a) The Schrodinger equation for a moving particle in 1-D is given by
+Vy = Ey
2m dx?
where h is the Planck constant, m is the mass of the particle, y is the
wavelength of the radiation generated by the particle, V is the potential of
space at the particle and E is the energy of the particle. Describe briefly
Max Born's interpretations of the solutions of this equation.
(b) The general solution of the Schrodinger equation for a particle confined in
an infinite square-well potential (where V = 0) of width L is
y(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:(a) The Schrodinger equation for a moving particle in 1-D is given by +Vy = Ey 2m dx? where h is the Planck constant, m is the mass of the particle, y is the wavelength of the radiation generated by the particle, V is the potential of space at the particle and E is the energy of the particle. Describe briefly Max Born's interpretations of the solutions of this equation. (b) The general solution of the Schrodinger equation for a particle confined in an infinite square-well potential (where V = 0) of width L is y(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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