A real wave function is defined on the half-axis: [0 ≤ x ≤ ∞0) as Y(x) = A(x/x₁)e¯x/xo where xo is a given constant with the dimension of length. a) Plot this function in the dimensionless variables and find the constant A. b) Present the normalized wave function in the dimensional variables. Hint: introduce the dimensionless variables = x/x。 and Y(5) = Y(5)/A.
A real wave function is defined on the half-axis: [0 ≤ x ≤ ∞0) as Y(x) = A(x/x₁)e¯x/xo where xo is a given constant with the dimension of length. a) Plot this function in the dimensionless variables and find the constant A. b) Present the normalized wave function in the dimensional variables. Hint: introduce the dimensionless variables = x/x。 and Y(5) = Y(5)/A.
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
Transcribed Image Text:A real wave function is defined on the half-axis:
[0≤x≤00) as y(x) = A(x/xo)e-x/xo
where xo is a given constant with the dimension of length.
a) Plot this function in the dimensionless variables and find the constant A.
b) Present the normalized wave function in the dimensional variables.
Hint: introduce the dimensionless variables = x/xo and Y(5) = Y(5)/A.
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