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Pound-Drever-Hall frequency stabilisation technique

I am having some difficulty understanding the Pound-Drever-Hall frequency stabilisation technique, when locking a laser to a stable cavity. As far as I understand: We emit the laser frequency, f0. ...
excom's user avatar
  • 41
16 votes
1 answer
7k views

What does it mean to say "internal symmetry"?

What does it mean to say "internal symmetry"? Let me try to express the way I see it, so you can have it as a starting point. There are spacetime symmetries, which are global since any Lorentz ...
Patrick's user avatar
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8 votes
5 answers
8k views

Minimum frequency of an electromagnetic wave [duplicate]

Is it possible to create an electromagnetic wave of near zero frequency? An electromagnetic wave carries energy. If we can make the frequency of an EM wave vanishingly small and make it practicality ...
hsinghal's user avatar
  • 2,581
2 votes
2 answers
415 views

Energy of electric field and magnetic field

I am studying about inductors and capacitors. They store their energy in the form of electric field and magnetic field.Energy is required to create fields.But if we take an isolated charge and nothing ...
Souhardya Mondal's user avatar
3 votes
1 answer
414 views

Why doesn't a uniformly moving particle radiate?

When considering a uniformly moving charged particle, we have the following fields: $$\vec E = \frac{q(1-\beta^2)}{4\pi\epsilon R_a}\vec R$$ $$\vec B = \frac{1}{c^2}\vec u \times \vec E$$ With $\vec ...
Joshua's user avatar
  • 1,373
4 votes
1 answer
118 views

Finding $\pm 2 \pi$ defects in 2-D lattice nematic simulation

I'm working on a Monte Carlo simulation of a two-dimensional nematic system (XY-like model with even-order Legendre polynomial interactions, such that the director angle $\theta$ obeys $\theta \equiv \...
Zombie Feynman's user avatar
3 votes
3 answers
3k views

Pressure just before the hole in a draining tank

I get extremely confused in fluid dynamics problem where the pressure in some points is required. Consider the ideal fluid in the tank in the following picture. I would like to understand what is the ...
Sørën's user avatar
  • 2,637
0 votes
1 answer
254 views

How do I differentiate between units and variables on my notebook? [closed]

On computer systems, variables are written in italics, as $m$ or $s$, and the units as $\mathrm{m}$ or $\mathrm{s}$. It is very incovenient to do italics for variables and upright for units while ...
FreezingFire's user avatar
1 vote
2 answers
1k views

How to find the axis of rotation or location given the angular velocity?

Say I have the angular velocity vector of a body as a function of time. How can I determine the axis of rotation/location of the body? we have the equation: $\frac{d\vec{r}}{dt}=\vec{\omega}(t)\...
proton's user avatar
  • 1,447
2 votes
0 answers
296 views

OPE coefficents and commutation relations, and OPE with stress tensor

Basic question about conformal field theory: In a conformal field theory in $d\geq 3$ dimensions, what is the relation between commutation relations and OPE coefficients? In particular, because ...
user35470's user avatar
1 vote
3 answers
3k views

Dipole Moment and separation

My understanding of a dipole moment is it defines the strength of various dipole interactions, eg the common example of torque in an electric field. My confusion stems from the fact that the magnitude ...
Shahbaaz1104's user avatar
3 votes
0 answers
723 views

Non-canonical transformation

I would like to know any method to transform a known non-canonical set of variables to a canonical set for a given system. The Lagrangian and Hamiltonian are known in the non-canonical variables. I ...
BB_'s user avatar
  • 81
4 votes
2 answers
303 views

Weight Distribution of granular piles

I was recently at a farm watching piles of grain being formed in the shape of enormous cones. Each of these grain stacks weighs in excess of 50 tonnes. I am not a physicist but I am very curious as to ...
Anthony Phan's user avatar
1 vote
0 answers
142 views

Second derivative of Kahler potential [closed]

Does the following second covariant (in terms of Kahler geometry) derivative of Kahler potential vanish? \begin{equation} K_{ij}\equiv\nabla_i\nabla_j K=0, \end{equation} \begin{equation} K_{i^*j^*}\...
Kosm's user avatar
  • 2,736
0 votes
1 answer
154 views

Why isn't mass still being created in the universe? [closed]

I was watching a lecture by Alan Guth and wished I was in the classroom to be able to ask a question. He explained that the total energy in the universe could be very close to zero since mass and ...
Jack R. Woods's user avatar
0 votes
2 answers
104 views

Could vacuum chambers lighten the load for space bound technology?

Would cavities of near vacuums in the head (or in the 6 x 6 blocks surrounding the rocket [for reentry temperatures]) of a rocket make it lighter so it can be sent out easier?
nelomad's user avatar
  • 233
5 votes
1 answer
2k views

Electric Potential Field of Parallel Electrodes within Grounded Shell

Any help would be greatly appreciated I think I need to solve this using boundary potential conditions and Laplace equations. Here is the system I'm attempting to model: The red rods are metal ...
user avatar
0 votes
0 answers
123 views

What is the purpose of condenser lenses in the slide projector shown below? [duplicate]

I searched a lot on internet about this.I could not find the working of these condenser lenses in detail. Some websites say that condenser lenses make the light rays parallel and to pass through ...
rock's user avatar
  • 591
2 votes
2 answers
721 views

Mechanism behind "Hoot Tube" demonstration

For years I've been puzzled by how the "Hoot Tube" demonstration shown at the end of this video (around 2 min 45 sec) actually works. I've done the demo myself with a double walled stovepipe from the ...
user55515's user avatar
  • 524
5 votes
2 answers
4k views

Double slit experiment; evidence of wavefunction collapse

This video shows the change of a photon's interference pattern in real time of the Young's single and double slit experiment. In this video it is claimed that by adding a detector to view how the ...
Armadillo's user avatar
  • 1,455
1 vote
1 answer
87 views

Given this graph from Wikipedia concerning the cosmogenic origin of each element, how are Lithium, Beryllium, and Boron formed from cosmic rays?

So I found this article from another answer, and it's math is way above me but the gist is that some elements heavier than Iron can form in a star, but this path is not the primary source of these ...
Sidney's user avatar
  • 1,066
1 vote
3 answers
13k views

what is the purpose of condenser lens in a slide projector?

What if we don't use any condenser lens? can't we use a single convex lens as a condenser? what difference will it make? kindly explain it in detail.
rock's user avatar
  • 591
4 votes
6 answers
6k views

Air flight and Earth's rotation

I read a response asking why flights of equal distance east and west take roughly the same time (disregarding wind actions). I have trouble visualizing part of the answer; "the speed of the rotation ...
Luke.H's user avatar
  • 53
4 votes
2 answers
1k views

Boltzmann factor and ratio of number of states

When using Boltzmann factor for two states, we see that $$N_1/N_2 = \exp\left(\frac{h\omega}{k_BT}\right)\;.$$ Where $N_1$ is the number of atoms in state with lower energy $E_1$ than atoms in state $...
Bootleg's user avatar
  • 41
1 vote
4 answers
168 views

Friction-Newtonian Mechanics

Here we are having two blocks of mass $2~\rm kg$ and $4~\rm kg$ on an inclined angle with angle of inclination being $30~\circ.$ The block of mass 2 kg has a coefficient of friction $\mu_1=0.2$ and ...
user avatar
0 votes
1 answer
244 views

If we were able to manipulate enough energy, could we use the higgs field for any practical application? [closed]

My question is, the fields in the standard model interact with each other, and when we are able to manipulate some of them through different engineered devices, we can transform the energy field into ...
user avatar
1 vote
0 answers
212 views

Deriving the field equations for a dark energy / modified gravity effective field theory

Question I'm trying to derive the modified gravity EFT field equations and, from their 00 component, this Friedmann equation: \begin{equation} H^{2}+H\frac{\dot{\Omega}}{\Omega}=\frac{\kappa \rho_{m}+...
Harlequin's user avatar
28 votes
5 answers
4k views

Can elements heavier than iron be present in a star's core?

My understanding is that elements heavier than iron and nickel are not formed in a star but, can heavy elements such as lead and others be present/found in a star's core ? I ask because the following ...
ScienceAmateur's user avatar
1 vote
2 answers
497 views

Special Relativity - oscillator paradox

I am reading about the Special relativity and the original Einstein papers from 1905 and 1920 where he derives the Lorentz transformation and the effects of the time dilation and space contraction ...
Baj Mile's user avatar
  • 133
0 votes
1 answer
370 views

Why anti-reflective coating of silicon nitride colour varies with thickness?

Why the silicon nitride colour varies with the thickness?
user132536's user avatar
1 vote
0 answers
69 views

Mixed Gas Absorbtion

Consider a gas misture that contains two type of atom, A and B. The gas is in equilibrium at temperature $T$. If on the surface of the gas container there are M sites that can absorb an atom gas, and ...
Mors's user avatar
  • 23
2 votes
1 answer
3k views

Why does laminar flow turn turbulent(*) in external fluid flow and why doesn't a fully developed laminar flow turn turbulent in flow through pipes?

(*:with increase in distance from the leading edge.) I would appreciate if you give detailed explanation for the first question and then apply the same logic to answer the second.
ninad gawande's user avatar
1 vote
1 answer
365 views

rotation of a state in Bell basis

Suppose I have a state in Bell basis. For example \begin{equation} \rho = \begin{pmatrix} \rho_{11} &0 & 0 & \rho_{14} \\ 0 &\rho_{22} & \rho_{23} & 0 \\ 0 &\rho_{32} &...
Parveen Kumar's user avatar
2 votes
3 answers
596 views

Work done by an ideal gas expressed as change in potential energy of fluid

I get confused in problems where it is necessary to evaluate the work done by a gas that someway moves a mass. I'll make an example. Consider the tube containing mercury and an ideal gas in A (...
Sørën's user avatar
  • 2,637
1 vote
1 answer
33 views

When de-evacuation occurs, what provides energy?

When a syringe piston is pulled from its initial position to spray position by blocking the nozzle with a finger, creating a vacuum inside the syringe, the piston will probably get pulled back to ...
Abdul Rahman Erol's user avatar
0 votes
3 answers
73 views

Work done on gas problem with movable set

I found two different version of an exercise where the work is considered in a different way. Consider a gas in a tank divided in two parts by a movable set. The set in $B$ is also movable. If a ...
Sørën's user avatar
  • 2,637
0 votes
1 answer
54 views

When happens to the current during reversed biased?

The main working function of a half wave rectifier is to convert AC current to DC. My problem is to understand during the negative cycle. The above picture is time versus current. We can see easily ...
user avatar
0 votes
2 answers
352 views

Why monochromatic waves exist even theoretically

I was reading this question. Where the author made a statement that If I take a wave with period T, it is also true that it has a period 2T, 3T and so on. That is, it has frequencies of 2π/T, but ...
hsinghal's user avatar
  • 2,581
0 votes
0 answers
135 views

Time independent Yang-Mills field coupled to scalar field

Let $A$ be a Yang-Mills field with $A_0 = 0$ and we also have time independent scalar field $\phi$ in the adjoint representation of our gauge group with zero potential (no mass too). I have to show ...
Caims's user avatar
  • 526
3 votes
1 answer
5k views

How can I derive the Phonon Density of Normal Modes in two and three dimensions?

The density of normal modes in 1D has already been discussed in another post (LINK) In essence, the formula is: $$D(\omega) = \frac{1}{2\pi}\int\mathrm{d}q\,\delta(\omega-\omega(q))$$ resulting in a ...
qmd's user avatar
  • 859
2 votes
1 answer
6k views

Energy-band diagram of forward-biased pn junction

When a p-n junction is forward biased then its energy-band diagram looks like this: What would happen if $V_a>V_{bi}$? ($V_{bi}$ is the built-in potential and $V_a$ is the externally applied ...
Tendero's user avatar
  • 1,213
1 vote
0 answers
154 views

T-duality between $E_8 \times E_8$ and $\text{Spin(}32)/\mathbb{Z}_2$ heterotic strings at the $\sigma$-model level

I would like to understand how T-duality between the heterotic $E_8 \times E_8$ (HE) and heterotic $\textrm{Spin}(32)/\mathbb{Z}_2$ (HO) theories works, at the level of the worldsheet $\sigma$-model. ...
leastaction's user avatar
  • 2,105
8 votes
2 answers
3k views

Preparatory knowledge to study Quantum Gravity

I am an old (41-Years-old) physics graduate. I pretty much quit to "frequent physics" 10 years ago and my ability to manage physics is a bit rusty. I was fascinated with Quantum Gravity (QG) theory ...
0 votes
4 answers
3k views

Water evaporation rate: temperature vs humidity

I have a hot tub which I keep at 100 degrees F, and the water has "a lot" of dissolved salts in it. If I leave it open, will it evaporate faster when it is hot and humid outside, or when it is cold ...
Richardbernstein's user avatar
0 votes
2 answers
188 views

The counter-intuitive time scales in atomic physics and nuclear physics

Compare atomic physics and nuclear physics. The interaction in the latter is much stronger than that in the former. However, the typical spontaneous emission time scale in atomic physics is on the ...
poisson's user avatar
  • 2,165
0 votes
1 answer
596 views

Reduced Density operator in matrix form

I already read book of Quantum Computation and Quantum Information by Nielsen and Chuang according to reduced density operator and I already understand how to do the reduced density using Dirac ...
munirah 's user avatar
0 votes
2 answers
511 views

Canonical partition function and counting

That's a silly silly question, so my apologies, but in this moment I could not reach out! Let's have a system made of a particle reservoir $R$, and a subsystem $S$. The total particle number is $N$. ...
Lo Scrondo's user avatar
3 votes
1 answer
331 views

How to apply conservation of energy to active noise-cancelling headphones?

Active noise-cancelling headphones add the opposite waveforms of the ambient sound in order to cancel out this ambient sound by destructive interference. I do not understand why adding more power in ...
Karlo's user avatar
  • 199
1 vote
0 answers
57 views

Modelling a flow due to an oscillating hemisphere?

Say I have a long cylinder filled with air, closed at one end and open at the other. Now say I place a compressible hemisphere at the closed end and make it oscillate (compression and expansion of the ...
sonicboom's user avatar
  • 289
-1 votes
2 answers
235 views

General Approach and Intuition to Calculus based problems in Physics [closed]

I've done a calculus-based course in Mechanics, Electromagnetism and at the moment I'm studying Strengths of Materials. Time and again, one is faced with problems where Integration is used to sum up ...
Student's user avatar
  • 1,122

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