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Looking for a mathematical model that explains the increase of heat intensity while time is going on

Consider we are overloading a CPI device with many tasks. It is obvious that the CPU temperature goes up when the time is increasing. Is there anyone who can help with modeling this phenomenon?
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How to take the derivative of an eigenvalue equation in quantum mechanics?

Equation 2.1 is $$H_0(t)\vert n \rangle = E_n\vert n \rangle$$ Equation 2.8 is $$\langle m \vert \partial_tn \rangle = \frac{\langle m \vert \partial_tH_0 \vert n \rangle}{E_n-E_m}$$ In the following ...
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Converting air pressure to depth in water

So I am trying to measure water depth using the air line method. The water level can vary. An open ended tube is submerged in water and then filled with compressed air to purge all water that entered ...
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Band theory of Photonic crystals

I have a basic question about the band structure of photonic crystals. If I have a periodic potential, then Bloch-theory tells me that the bands yield the energy spectrum of the Hamilonian which is ...
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Confusion in lenzs law and Electro magnetic induction

Lets say we have a loop of wire placed in xy plane, in empty space. Now if its kept in changing magnetic field growing in z direction so from lenz's law the loop tries to create an opposing field due ...
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Why does a moving charged body with acceleration produce electromagnetic waves and How? [duplicate]

Why does a moving charged body with acceleration produce electromagnetic waves and a moving charged body with out acceleration does not and it produces electricity? Why does acceleration in a body ...
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1 vote
1 answer
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Finding common eigenvectors for two commuting hermitian matrices

Let $A = \begin{bmatrix} 1 &0 &0 \\ 0& 0& 0\\ 0&0 &1 \end{bmatrix}$ and $B = \begin{bmatrix} 0 &0 &1 \\ 0& 1& 0\\ 1&0 &0 \end{bmatrix}$ ...
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Due to time dilation and space contraction, what would happen if we were massless and able to be take a ride on a photon what would we experience? [duplicate]

If photons and gluons that have no mass travel at the speed of light and therefore have no sense of time or space due to time dilation and space contraction, what would happen if we were able to be ...
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Proper time while going up in a gravitational field

Feynman, in his book 'Surely You're Joking, Mr. Feynman' refers to a problem he once gave one of Einstein's assistants at Princeton. The problem goes something like this: You blast off in a rocket ...
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Use of functional derivative in derivation of Einstein Field Equations

I'm trying to understand the derivation of the Einstein field equations through the stationary action principle. I've found a pretty clear explanation on the Wikipedia article for the Einstein-Hilbert ...
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Question regarding finding Torque [closed]

In this question I am supposed to find the magnitude of $Torque$. Now the particle of mass m rotates in a circular orbit ,so it experiences $Centripetal$ $Force$. Now since the radius of the circle in ...
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2 answers
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What is the wave function of a field?

I've just started QFT. While I'm learning it using the path integral formalism, I think there is another way which is the canonical representation which I didn't learn yet. Nevertheless, in Quantum ...
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A question On the deviation of the magnetic field in a solenoid using ampere's law and why we chose a specific ampereian loop

When we derive the magnetic field in a solenoid using ampere's law, we usually consider an ampereian loop such that it's bisected by one side of the transverse section of the solenoid (like in the ...
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Find the strongest point of the magnetic field from three long conducting wires

Consider three long power lines buried in the ocean, with (from left to right) current $\frac{I}{2}, I, \frac{I}{2}$, where the direction of the current in the edge cables are negative $z$ (in to the ...
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1 vote
1 answer
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Is it true to say no refraction takes place when a ray comes along normal drawn to interface?

Many books and websites in our country say that there are two conditions for no refraction of light: If index of Refraction of media on both sides is same. If the ray of light falls normally on the ...
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Zeros of the Bessel function [closed]

Can someone help to find out zeros of bessel function? Pls see the equation. I know the value of f and beta. How can I find alpha? It is zeros of bessel function J1(x).
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How to proceed in this? Like about what should I take the integral [closed]

I tried solving it using general integration of the electric field from 2a to 2b and was disastrously unsuccessful. “A point charge q is situated at a distance d from one end of a thin non conducting ...
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1 vote
1 answer
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Partial measurement of a Two-Mode Squeezed Vacuum state

It seems that if you measure a quadrature on the first mode, let's say $\hat{q}$, on a TMSVS, the second mode will collapse into a coherent state $|q+it\rangle$ Is this true ? What is then the value ...
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In a 1D Frame is it possible for $S=|S|$? [closed]

As written before, if we use the correct units, and represent each vector with a real number and unit such as $5m$ and $-5m$ can we have $|S|=S=5m$?
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1 answer
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How do you know you can add thermal resistance but not thermal transmittance?

I followed through the example on this wikipedia page for calculating the thermal resistance of a composite material (a wall) composed of many layers: https://en.wikipedia.org/wiki/...
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What could be the reason that particle like to stay in higher effective mass region?

For anisotropic effective mass specifically, position dependent effective mass of a particle in infinite square well, if we choose the mass inversely related to position. It is observed that ...
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Deriving energy in Dielectrics and resource recommendation for same

Note: I am working in the Lorentz-Heaviside system. We bring a small amount of free charge from infinity near a dielectric, the net work done would be $$dw_1=\int_{\phi_{b0}}^{\phi_{b1}} dq _f\,d\...
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0 answers
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Multiplication of two negative numbers in a physics law prediction calculation [closed]

Does it happens that to make some physical prediction based on a physics law we have to use multiplication of two negative numbers (each representing a physical quantity)? I have curiosity on physical ...
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-1 votes
0 answers
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What does "1 diopter of astigmatism" mean?

"Here is an example of a refraction: OD -1.00 + 2.00 x 085 ​OS -2.25 + 1.00 x 010 This patient has 2.00 Diopters of astigmatism in the right eye (OD), and 1.00 Diopters of ...
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-2 votes
2 answers
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Why do the four points experience identical electric field? [closed]

The question: The answer and explanation given: Brent is wrong. The net force is perpendicular and away from the sheet. Components of the forces acting in any other direction cancel each other out. ...
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0 answers
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What is the meaning of gauge theory and Yang-Mills theory?

I would appreciate if you guys help me to understand the idea behind these two concepts: Gauge field and Yang-Mills theory. What i think i understand is: Suppose we have a Lagrangean that describes a ...
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1 answer
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Question about quantum physics / diatomic molecule electron

In part c I saw a solution state that in even state the electron tends to draw them together promoting the bonding while the opposite for excited (odd) state Why is that the case? What is the effect ...
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How to disentangle two entagled particles (photons) without distroying anyone?

Can a twin photon pair entagled in polarization get disentangled after one of the photons meets a PBS (polarization beam splitter). I suppose after the PBS the photon will go one way or another ...
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Putting same CFT on different surfaces

What does it mean to put a CFT on different surfaces ? I am initially motivated by the question of comparing same CFT on plane and cylinder but I believe this question can be generalized. Can a CFT ...
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How to add a tip mass to a cantilever beam in Finite Element Method? [closed]

I am trying to model a cantilever beam with a tip mass at the free end and trying to find its natural frequencies. I have managed to find it for the cantilever without a tip mass. Now I have to ...
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Non-zero Riemann tensors for the BTZ solution without charge or angular momentum

Can someone tell me which are the non-zero components of the Riemann tensor for the BTZ solution with the absence of charge and angular momentum? I tried searching it up but couldn't find any ...
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1 answer
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Velocity relation in constrained motion

While coming across a question on Newton's laws,I found a case when a block slides on another block kept horizontally as in the figure.All surfaces are frictionless. My concern is for the blocks to ...
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How would we integrating high energy part of a relativistic quantum field theory to get a non-relativistic theory?

Relativistic quantum field theory (RQFT) is a after spring of quantum theory and special relativity. A novel thing in RQFT is the existence of anti-particle. That is, consider a relativistic field $\...
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2 votes
2 answers
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How to find the field number operator in terms of the field and conjugate field in a free real scalar Klein-Gordon theory?

I'm following this book on QFT called "Quantum Field Theory of Point Particles and Strings" by Brian Hatfield. After the end of the scalar field theory section on Exercise 3.6 it asks us to ...
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Blocking infrared radiation on glass of with a film

going to admit that I'm asking for a bit of general advice rather than forensic detail. In professional audio visual systems there is a requirement for hearing augmentation, which in the case ...
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1 answer
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Why can the charge density be expressed as the Bloch wave integral in the Brillouin zone?

While watching Berry Phase, I saw a formula that says that in an insulating crystal the charge density can be written as: I don't understand the second term, I know the wave function in it is a Bloch ...
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1 vote
2 answers
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When $C_v=\partial E/ \partial T$?

$C_v=(\delta Q/dT)_v$, but sometime $C_v= \partial E/ \partial T$. If $\delta W=-PdV$ than it’s easy because $(\delta Q)_v=dE$. But for paramagnetic materials even if $\delta W=-PdV+BdM$ we have $C_v=\...
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1 answer
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Regarding Kirchoff's Loop Law

I heard that the reason Kirchoff's Loop Law (also called Voltage Law) works is because of the conservation of energy, or more precisely, as the electromagnetic field is a conservative field, the ...
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3 votes
1 answer
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Bronwian particle in two heat baths

A brownian particle of mass m is in heat bath at temperature $T_{1}$ can be described by: $$\frac{dv}{dt} = -\frac{\gamma}{m}v + \frac{1}{m}\xi .$$ However, if I assume that a brownian particle of ...
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Charge conjugation and Parity for QCD $\theta$ term

I am studying Charge Conjugation ($C$) symmetry and Parity symmetry ($P$) on QCD $\theta$ term: $\tilde{G}G= \frac{1}{2}\epsilon^{\mu \nu \lambda \rho}G^a_{\mu \nu}G^a_{\lambda \rho} \propto G^a_{0i}G^...
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0 votes
1 answer
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What's the amount of heat flowing to this system? [closed]

Im stuck trying to understand the solution to this question. Q: A thermodynamic system is defined by the equations - $P^2V = aNK_bT$, where $a>0$ and N>0 are constants. what is the amount of ...
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3 votes
4 answers
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Can Coulomb be derived directly from Gauss?

This relates closely to questions such as Deriving Coulomb's Law from Gauss's Law and Does the Coulomb's law include more information than the Gauss's Law in electrostatics? My ...
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On the definition of projective measurement (of qubits) by choosing a basis of the state space)

What this question is about: 1)) Nielsen, M.A. and Chuang, I.L. state in their famous book (see http://dx.doi.org/10.1017/CBO9780511976667, p. 87 ff.) that projective measurements usually are defined ...
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0 answers
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Potential of spherical shell when a charge is placed inside [closed]

Potential of spherical shell when a charge q is placed at a distance of r/2 from the centre of the shell
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2 answers
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What frequency is needed for pair production?

I'd like to know exactly what frequency of a photon produces a pair e+/ e- , is it 2,4712x 10^20: must the photon have exactly that frequency or is there a range of tolerance? When the 2 particles ...
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2 answers
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Change of basis, matrix and operators

If $U$ is an unitary operator written as the bra ket of two complete basis vectors i.e $U=\sum_{k}\left|b^{(k)}\right\rangle\left\langle a^{(k)}\right|$ Then $U^\dagger=\sum_{k}\left|a^{(k)}\right\...
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Detection of Li-ion battery [closed]

Can anyone explain how Li-ion battery are detected at airport security checking, and would it create any difference if the battery is discharged.
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3 votes
1 answer
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By Jordan-Wigner transform, we can tranfer spin-$1/2$ model into fermions, then how to choose the right hamiltonian so that we can solve the model?

I know that by using Jordan-Wigner transform(JWT), we can transform spin-$1/2$ systems into fermions. My problem is, for example, after JWT, we have a hamiltonian of form $$\epsilon\left(c_{1}^{\...
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Is there any problem in having a stress-strain constitutive relation that relates time-derivative of stress with strain?

We usually use two empirical laws to model viscoelastic behaviour: Hooke's law of elasticity that relates stress with strain Newton's law of viscosity that relates stress with time-derivative of ...
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4 votes
2 answers
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If we have a cosmic microwave background should't we also have a cosmic radio wave background?

I'm a layman in physics, but here is what I understand: What we see in the sky with naked eyes is a map of electromagnetic waves in the frequency visible to the human vision. But that kind of ...
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