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 (17") exp [Ent] n²π²ħ² 2mL2 En = where n E N where n E N The wave function is zero outside the box. What is the position uncertainty and momentum uncertainty of the particle when L - 10-10 m (or 1 Angstrom) and n 3?
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 (17") exp [Ent] n²π²ħ² 2mL2 En = where n E N where n E N The wave function is zero outside the box. What is the position uncertainty and momentum uncertainty of the particle when L - 10-10 m (or 1 Angstrom) and n 3?
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![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
n²π²ħ²
2mL2
En =
nnx
htt)
exp
[54]
ħ
where n E N
where n E N
The wave function is zero outside the box. What is the position uncertainty and momentum
uncertainty of the particle when L = 10–¹⁰ m (or 1 Angstrom) and n = 3?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50530471-3d1d-446c-af31-a941cdfd5635%2F85cc3810-ec1e-4486-a5a1-e9649b3d2bfe%2Fkmq122s_processed.png&w=3840&q=75)
Transcribed Image Text: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
n²π²ħ²
2mL2
En =
nnx
htt)
exp
[54]
ħ
where n E N
where n E N
The wave function is zero outside the box. What is the position uncertainty and momentum
uncertainty of the particle when L = 10–¹⁰ m (or 1 Angstrom) and n = 3?
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