- #1
HAMJOOP
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In a central force problem,
angular momentum is conserved.
we quantized one of the component of L, say Lz.
Also, we quantized the angular momentum, L = √l(l+1)h_bar
If we know Lx and Ly without uncertainty,
then we know the direction of L.
Hence we know the motion of the particle is confined in a plane(let say x-y plane).
Then we know exactly the position in z direction, which contradicts the uncertainty principle.Hence, we can't know Lx and Ly without uncertainty.
Does that mean the direction of the angular momentum is uncertain ?
So, can we say angular momentum is conserved ?One more Thing (particle in a box)
Can I say E = (p^2 /2m) ?
coz E is quantized, so quantization of p violates the uncertainty principle.
What's wrong?
angular momentum is conserved.
we quantized one of the component of L, say Lz.
Also, we quantized the angular momentum, L = √l(l+1)h_bar
If we know Lx and Ly without uncertainty,
then we know the direction of L.
Hence we know the motion of the particle is confined in a plane(let say x-y plane).
Then we know exactly the position in z direction, which contradicts the uncertainty principle.Hence, we can't know Lx and Ly without uncertainty.
Does that mean the direction of the angular momentum is uncertain ?
So, can we say angular momentum is conserved ?One more Thing (particle in a box)
Can I say E = (p^2 /2m) ?
coz E is quantized, so quantization of p violates the uncertainty principle.
What's wrong?
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