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bio website arcsecond.wordpress.com
location Baltimore, MD
age 28
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I'm a physics graduate student.


Mar
7
comment Liouville's theorem and gravitationally deflected lightpaths
The second-law argument does work. For example if there is less light from the mirror behind the black body, just paint the back of it perfect white. Re: Liouville's theorem in geometric optics; I might have some time for that later on but I can't just do it in a couple minutes off the top of my head like this above argument.
Mar
7
answered Liouville's theorem and gravitationally deflected lightpaths
Mar
5
revised Motion of a pendulum
added 34 characters in body
Mar
5
answered Motion of a pendulum
Mar
5
revised What is the optimal weight for a golf ball?
added 50 characters in body
Mar
5
comment What is the optimal weight for a golf ball?
Thanks, Gugg. That does suggest there's a factor of a few error in here, probably because of the good aerodynamics (I left out a drag coefficient, for example).
Mar
5
revised What is the optimal weight for a golf ball?
deleted 1 characters in body
Mar
5
answered What is the optimal weight for a golf ball?
Mar
5
revised What is the optimal weight for a golf ball?
edited title
Mar
3
comment Evaluate Commutator with Partial Derivatives
$A$, $B$, and $C$ in these identities represent arbitrary operators, so they can be $x$ or $\frac{\partial }{\partial x}$, for example.
Mar
3
answered Evaluate Commutator with Partial Derivatives
Mar
2
revised Estimate number of hairs on human head
edited tags
Mar
1
comment Heisenberg uncertainty principle derivation - unexplained factor of $4 \sigma_k^2$ in Gaussian
There's a full proof here en.wikipedia.org/wiki/… Your are right that the fourier transform of a gaussian is a gaussian with standard deviation inversely proportional to the original.
Feb
28
comment Heisenberg uncertainty principle derivation - unexplained factor of $4 \sigma_k^2$ in Gaussian
I used $\psi$ because that is standard notation for a wavefunction
Feb
28
comment Heisenberg uncertainty principle derivation - unexplained factor of $4 \sigma_k^2$ in Gaussian
It is a bit long to explain in detail; your quantum mechanics textbook should explain it, though. I added a little detail on how to do this with a wavefunction. The answer to your question is essentially that the things you were call $\Delta x$ is not the $\Delta x$ in the uncertainty relationship.
Feb
28
revised Heisenberg uncertainty principle derivation - unexplained factor of $4 \sigma_k^2$ in Gaussian
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Feb
28
comment Heisenberg uncertainty principle derivation - unexplained factor of $4 \sigma_k^2$ in Gaussian
I am using bra-ket notation. en.wikipedia.org/wiki/Bra%E2%80%93ket_notation
Feb
28
revised Heisenberg uncertainty principle derivation - unexplained factor of $4 \sigma_k^2$ in Gaussian
deleted 83 characters in body
Feb
28
answered Heisenberg uncertainty principle derivation - unexplained factor of $4 \sigma_k^2$ in Gaussian
Feb
28
answered Static Friction in Free Body Diagram (FBD) of Car parked on Incline