Theoretically, squeezed state can be generated using a process called 'parametric down conversion'. I was going through the literature and found that people performed 'second harmonic generation' before doing 'parametric down conversion'. Can anyone tell me why simple harmonic generation is...
Let me give you a hint. Do you know about Lorentz force ? Lorentz force is the force experienced by a charged particle moving in an electromagnetic field. In this case, the charged particles flowing through Z are under the influence of the magnetic field created by the currents carried by X and...
Thanks for your reply. I guessed it. The fields somehow transfer some amount of momentum to matter. But I couldn't explain this using Maxwell's equations. Will you please elaborate?
From classical EM theory, we know that if we shine light of frequency ω on a second order non-linear medium, a radiation of frequency 2ω is created. The amplitude of the radiation of frequency 2ω is dependent on the momentum difference between the incident field and the created field. But I...
Field due to the first rod on an infinitesimal line element at a point ##(x',0)## will be
$$E(x') = \int_0^{L} \frac{k\lambda dx}{(x'-x)^2}$$
Force on the second rod due to the first one will be
$$F = \int_{L+a}^{2L+a} \lambda E(x') dx'$$
Field due to the first rod on an infinitesimal line element at a point ##(x',0)## will be
$$E(x') = \int_0^{L} \frac{k\lambda dx}{(x'-x)^2}$$
Force on the second rod due to the first one will be
$$F = \int_{L+a}^{2L+a} \lambda E(x') dx'$$
This is just because the nature creates magnetic field in this way.
I think you should rather ask about that law of nature which dictates the magnetic field to be so.
Well, there are four equations in Electrodynamics known as Maxwell's equations. Those equations describe the 'behaviour' of...
Acceleration is change of velocity with respect to time. In case of constant acceleration ##a##, it is simply ##a = \frac{ v_{final}-v_{initial}}{t_{final}-t_{initial}} \Rightarrow v_{final} =v_{initial} + a (t_{final}-t_{initial})##. If ##v_{initial} =0, t_{initial} = 0## and ##t_{final} = t##...
If the Hamiltonian be ##\hat H## and the two normalised energy eigen vectors be ##|\psi_1> ## and ##|\psi_2>##, then from Schroedinger's time independendent equation ##\hat H |\psi_1> = E|\psi_1>## and ##\hat H |\psi_2> = E|\psi_2>##. From these two equation you can conclude that ##|\psi_2> =...
Lenz's law and Faraday's law are basically same. In case of electromagnetic induction the 'direction' of induced emf is crucial. Induced emf is given by the equation ## V = - \frac {d\phi}{dt}##. ##V## is induced emf and ##\phi## is magnetic flux. The minus sign is important because it protects...
Locally the surface density of bound charge is ##\vec P. \hat n ##. Here ##\vec P## is polarization and ##\hat n## is the unit vector along the direction of local surface area. Now integrate it over the whole surface to get the total bound surface charge. Similarly the local volume density of...
Centrifugal and centripetal force don't arise in the same frame. Centrifugal force can be experienced in non inertial frame whereas centripetal force plays it role in inertial frame. You have to choose a particular frame while calculating resultant force.
For conducting sphere(or for any geometrical shape) charges will be distributed on the outermost surface.
Applying Gauss's theorem it is easy to calculate that electric field inside the cavity (of any shape) is zero which implies potential inside the cavity is constant.