The following Eigen function is a typical solution of the time-independent Schrödinger equation and satisfies boundary conditions for a particle in a confined space of a certain length. y(x) = (a) Plot the wave function as a function of x for L = 30 cm and n = 1, 2, 3 and 4. Note: You will need to have 4 plots in the same graph. (b) On a separate graph, plot the probability density (141²) as a function of x using the conditions specified in part (a). Note: You will need to have 4 plots in the same graph. (c) Report your observations for parts (a) and (b)
The following Eigen function is a typical solution of the time-independent Schrödinger equation and satisfies boundary conditions for a particle in a confined space of a certain length. y(x) = (a) Plot the wave function as a function of x for L = 30 cm and n = 1, 2, 3 and 4. Note: You will need to have 4 plots in the same graph. (b) On a separate graph, plot the probability density (141²) as a function of x using the conditions specified in part (a). Note: You will need to have 4 plots in the same graph. (c) Report your observations for parts (a) and (b)
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Transcribed Image Text:The following Eigen function is a typical solution of the time-independent Schrödinger equation and
satisfies boundary conditions for a particle in a confined space of a certain length.
y(x) = sin
(~77)
(a) Plot the wave function as a function of x for L = 30 cm and n = 1, 2, 3 and 4.
Note: You will need to have 4 plots in the same graph.
(b) On a separate graph, plot the probability density (112) as a function of x using the conditions
specified in part (a). Note: You will need to have 4 plots in the same graph.
(c) Report your observations for parts (a) and (b)
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