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I have a function dependent on 4 variables ##f(r_1,r_2,q_1,q)##. I'm looking to minimize this function in the...
Just as your first response you're just parroting stuff as impossible or preaching physics as bible instead of giving proper reasoning or trying to understand the question. I seriously doubt if you understand the point of the question or the reason why this question is important. "which is...
Sorry, I don't agree with you. I don't think it's ill-posed at all. I agree that electrons can be simultaneously measured at two different places. I meant to say that the number of electrons in the world (you can make this statement more rigourous using qm/qft) is almost equal to the number of...
Say we just created a particle (high probability of one-particle state), is the probability of a very far away detector getting triggered at the time of creation (probability of finding a particle outside of its light cone) zero according to QFT?
Since we can detect particles and make...
I observed something which I've never seen before. We left the tap open and the water stream was flowing in a particular pattern. When we placed a beaker under the water stream, the pattern disappeared. And the pattern itself was oscillating.
Here's the video link.
Below the the photos of the...
Someone tells me that it has got something to do with Discrete Fourier Transform
$${\bf r}_j(t)~=~\sum_{k=1}^N e^{2\pi i jk/N }{\bf q}_j(t) $$
And that the amplitudes $$
{\bf q}_j(t)$$ play the role of generalized coordinates.
In the paper http://physics.unipune.ernet.in/~phyed/26.2/File5.pdf, the author solves the LC-circuit using Euler-Lagrange equation. She assumes that the Lagrangian function for the circuit is $$L=T-V$$ where
$$T=L\dot q^2/2$$ is the kinetic energy part $$V=q^2 / 2C$$ is the potential energy.She...
Can you explain what do you mean by requiring more than 3 coordinates for a vector in 3D space?
For 2) That's exactly what I'm not understanding. Goldstein said what he said.
He just starts talking about generalized coordinates and the transformation equations. He gives an example of the two angles theta1 and theta2 of a double pendulum and how the generalized coordinates need not be position vectors.
When discussing about generalized coordinates, Goldstein says the following:
"All sorts of quantities may be impressed to serve as generalized coordinates. Thus, the amplitudes in a Fourier expansion of vector(rj) may be used as generalized coordinates, or we may find it convenient to employ...
We recently performed an experiment with the idea to find refractive index of medium (water) as a function of wavelength of light. We then added some sugar to see how the refractive index changes with concentration of sugar solution. We got the following graphs.
Are the relationships actually...
An answer from StackExchange:
You have made an incorrect assumption about the surface charge density on the conducting sphere.
If you have a parallel plate capacitor with air between the plates there is a uniform charge density on the plates.
What does introducing a dielectric half way into the...