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JackStrong
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Density of States Derivation -urgent
λ=h/Px (Px = x momentum)
L/λ=nx
A summarized derivation from the lecturer has proven to be problematic when revising:
as same in xyz direction just cube one direction
L.Px = H.nx [if nx =1
L.dpx=H
[xyz direction
L^3.dpx.dpy.dpz=h^3
it then jumps to sphere range of momentum v=4/3.∏.R^3
note _p = bar p ( a p with a line ontop)
_p to _p + d_p
r= _p
N(p)dp = (2(4∏._p^2.d_p))/h^3
Could someone please help.
Thanks. Jack
Homework Statement
Homework Equations
λ=h/Px (Px = x momentum)
L/λ=nx
The Attempt at a Solution
A summarized derivation from the lecturer has proven to be problematic when revising:
as same in xyz direction just cube one direction
L.Px = H.nx [if nx =1
L.dpx=H
[xyz direction
L^3.dpx.dpy.dpz=h^3
it then jumps to sphere range of momentum v=4/3.∏.R^3
note _p = bar p ( a p with a line ontop)
_p to _p + d_p
r= _p
N(p)dp = (2(4∏._p^2.d_p))/h^3
Could someone please help.
Thanks. Jack