Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 10.1, Problem 10.2P
To determine
The solutions to the Schrodinger equation for one-dimensional and two-dimensional scattering.
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Please help me in a step by step solution for problem #10?
With detailed solution please, thank you.
work out the concentration profile c(r) of molecules
in a centrifuge, which is Nelson's Eq.
A sample is spinning at an angular velocity w (in
radians/sec). The net mass or effective mass (as in
our earlier lemonade problem) is mnet. From the
view of molecules spinning at a distance r from the
axis of spinning, there is an outwards force (the
centrifugal force) f(r) = mnetw^2r (the same thing
as mnetv2/r). You'll need to remember how this
force gives you a potential energy that is seen by
the molecules. It's this potential energy that should
be used in a Boltzmann distribution.
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