A particle of mass m moves in a one-dimensional box of length I with the potential V = 00, I< 0, V = 0, 0 l. At a certain instant, say t = known to have the form 0, the wave function of this particle is p = V30/15 x (1 – x), 0< x < l, V = 0, otherwise. Write down an expression for (x, t > 0) as a series, and expressions for the coefficients in the series.

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A particle of mass m moves in a one-dimensional box of length l with
the potential
V = 00, I< 0,
V = 0,
0 < r < I,
V = 00, I>l.
At a certain instant, say t
0, the wave function of this particle is
%3D
known to have the form
V = V30/15 x (1 – x), 0<x < l,
V = 0,
otherwise.
Write down an expression for v (x, t > 0) as a series, and expressions
for the coefficients in the series.
Transcribed Image Text:A particle of mass m moves in a one-dimensional box of length l with the potential V = 00, I< 0, V = 0, 0 < r < I, V = 00, I>l. At a certain instant, say t 0, the wave function of this particle is %3D known to have the form V = V30/15 x (1 – x), 0<x < l, V = 0, otherwise. Write down an expression for v (x, t > 0) as a series, and expressions for the coefficients in the series.
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