4) Consider the one-dimensional wave function given below. (a) Draw a graph of the wave function for the region defined. (b) Determine the value of the normalization constant. (c) What is the probability of finding the particle between x = o and x = a? (d) Show that the wave function is a solution of the non-relativistic wave equation (Schrodinger equation) for a constant potential. (e) What is the energy of the wave function? Y(x) (x) = A exp(-x/a) for x > o (x) = A exp(+x/a) for xo
4) Consider the one-dimensional wave function given below. (a) Draw a graph of the wave function for the region defined. (b) Determine the value of the normalization constant. (c) What is the probability of finding the particle between x = o and x = a? (d) Show that the wave function is a solution of the non-relativistic wave equation (Schrodinger equation) for a constant potential. (e) What is the energy of the wave function? Y(x) (x) = A exp(-x/a) for x > o (x) = A exp(+x/a) for xo
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Transcribed Image Text:4) Consider the one-dimensional wave function given below. (a) Draw a graph
of the wave function for the region defined. (b) Determine the value of the
normalization constant. (c) What is the probability of finding the particle
between x = o and x = a? (d) Show that the wave function is a solution of the
non-relativistic wave equation (Schrodinger equation) for a constant potential.
(e) What is the energy of the wave function?
(x) = A exp(-x/a)
for x > o
(x) = A exp(+x/a)
for x < o
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Step 1: Given wavefunction and to draw/find/prove:
VIEWStep 2: Rough graph of part (a) and then for part (b) finding normalization constant
VIEWStep 3: Here finding probability of particle between x=0 and x=a
VIEWStep 4: Here Writing schrodinger time independent equation for given wave function and then find energy
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