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 A sin (IT) exp i- where En = Ent ħ n²π²ħ² 2mI² 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. Does it follow the uncertainty principle? ONO OYes
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 A sin (IT) exp i- where En = Ent ħ n²π²ħ² 2mI² 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. Does it follow the uncertainty principle? ONO OYes
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![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:
v (2, 1) = A sin (17²) exp[i Ent],
t)
where
En
OYes
n²π²ħ²
2mI²
9
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.
Does it follow the uncertainty principle?
ONO](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d53dd3a-3193-456e-8291-b874cf0d933d%2Fcc9004fe-e281-43d8-bc3c-7533563c5c6a%2Fw5lcvpp_processed.png&w=3840&q=75)
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:
v (2, 1) = A sin (17²) exp[i Ent],
t)
where
En
OYes
n²π²ħ²
2mI²
9
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.
Does it follow the uncertainty principle?
ONO
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