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Physics : Recent Questions and Answers (Page 61)

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Attempt at proving $-i langle{u_n|nabla_k u_n}rangle=-dfrac{i}{2}tr[v^dagger(k)nabla_k v(k) ]$ from Kane and Fu's paper

I am trying to prove result (3.4) of the following paper:http://li.mit.edu/S/2d/Paper/Fu07Kane.pdfnamely, that $$-i langle{u_n|nabla_k u_n}rangle=-dfrac{i}{2}tr[v^dagger(k)nabla_k v(k) ]$$where I am using the Einstein summation...

Asked on 09/27/2021

1 answer

Why does $epsilon_0=1$ in CGS units?

This Wikipedia article gives a table of certain constants in different systems of units. I noticed that in Gaussian and electrostatic CGS the value of $epsilon_0$...

Asked on 09/27/2021

2 answer

Symmetry of the energy gap and specific heat in BCS theory

I know that in BCS theory an energy gap $Delta(mathbf{k})$ with s-wave symmetry would lead, in the limit for very low temperature, to a term in the free energy...

Asked on 09/27/2021 by Manuel Simonato

0 answer

How to get radius of trail with velocity and angular velocity?

If I know the velocity of something and the angular velocity of something, how could I figure out the distance between the object and the center it is rotating at?...

Asked on 09/27/2021 by person the human

1 answer

How does the battery create an electric field inside the conducting wire connected to its terminal?

In books, it is not explained exactly how the battery creates an electric field inside the wire. Also, is that the electric field inside the wire only or is...

Asked on 09/27/2021 by Vaibhav Jaiswal

2 answer

What is the physical interpretation of the average charge on a sphere due to a piont charge?

This question is motivated by Problem 3.4 in Griffiths' book on Electrodynamics. This problem asks to calculate the average electric field on a sphere, due to charges inside the sphere...

Asked on 09/27/2021 by jackrodgers1554

1 answer

In double slit experiment, It's the wave function who represent particles, travelling?

I saw some videos that tend to show traveling waves to represent the photon/electron in a double slit experiment. Is it right? Because the space between the electron gun and...

Asked on 09/27/2021 by Lautron

2 answer

How to write velocity operator of a given Hamiltonian in quantum mechanics?

Let us have a 2D lattice model with three sites in one unit-cell (basically 2D Kagome lattice). In Fourier space, the Hamiltonian is written as $$H = sum_{k_x,k_y}...

Asked on 09/27/2021

1 answer

Special Relativity: Interpretation of the partial derivate of Stress-Energy Tensor

This question is based on Carroll's book Spacetime and Geometry, specifically from page 33 to page 36. In the upper mentioned section we define the Stress-Energy Tensor as:The flux of...

Asked on 09/27/2021

1 answer

Relative time dilation at relativistic speeds

As I understand it (feel free to correct me if I'm wrong here), the core tenet of Einstein's theory of special relativity is the idea that if you were on...

Asked on 09/27/2021

2 answer

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