A particle of mass m that is confined in a one- box of length L, i.e. x € (0, L), is described b the wave function: dimensional ηπα ¥(x, t) = A sin (17²) exp[i Ent], L where En = n²π²ħ² FO where n E N where n E N.
A particle of mass m that is confined in a one- box of length L, i.e. x € (0, L), is described b the wave function: dimensional ηπα ¥(x, t) = A sin (17²) exp[i Ent], L where En = n²π²ħ² FO where n E N where n E N.
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Transcribed Image Text:1. Particle in a Box.
A particle of mass m that is confined in a one-
dimensional box of length L, i.e. x € (0, L), is described by
the wave function:
(x, t) = A sin
where
En
=
nnx
L
expli-
n²π²ħ²
2m [²,
Ent
ħ
where n E N
where n E N.
The wave function is zero outside the box. Calculate the
normalization constant A and compute the uncertainty of
position and momentum regardless of the quantum number n.
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