I am trying to calculate the partition function of the system of two completely decoupled systems. Probability-wise, the decoupled nature means that the PDF is the product of the PDF of each subsystem. I just wanted to be sure that it would translate into:
$$
H = \sum_{k_i...
Its my bad, I meant that my original Gauge was in the form:
\begin{equation}
\vec{A} = \begin{pmatrix}
g(t+x)\\
0\\
0\\
g(t+x)\\
\end{pmatrix} = (\Phi, A)
\end{equation}
such that
\begin{equation}
\nabla \cdot A = g'(t+x) \Longrightarrow \Box \chi = g'(t+x)
\end{equation}
Now...
I am given an initial vector potential let's say:
\begin{equation}
\vec{A} = \begin{pmatrix}
g(t,x)\\
0\\
0\\
g(t,x)\\
\end{pmatrix}
\end{equation}
And I would like to know how it will transform under the Lorenz Gauge transformation. I know that the Lorenz Gauge satisfy...
I have a cubic lattice, and I am trying to find the partition function and the expected value of the dipole moment. I represent the dipole moment as a unit vector pointing to one the 8 corners of the system. I know nothing about the average dipole moment , but I do know that the mean-field...
I have been working on a relatively simple problem. Just take a quantum wave function for which a physical requirement is that an arbitrary displacement of x or an arbitrary shift of t should not alter the character of the wave, and I want to find the state function solution. A possible guess...
I know that at the boundary the temperature is 10 celcius. (Btw the comments you made are true). So I could make the assumption that : the whole system is gaining energy. In other words, the system tends to attract the heat of its vicinity to compensate a lack of energy. I am I right?
So let's be clear. I mean, I have two concentric cylinders that are separated from an insulating material. I have a heat source within the internal cylinder and heat sink outside the internal cylinder. When I calculate the power of the internal cylinder, the power is positive, while when I...
I have a cylinder that is separated with an insulator. In the internal cylinder there is a thermal source, while outside the insulator we have a thermal sink. The power of the internal cylinder is positive, while of the external one in total is negative. How I should interpet the results. Like...
I mean it is the equation j_q=-k(r)\nabla \cdot T. I use the heat equation. The point being that no matter the values kappa gets the heat flux is always the same
I am doing a project, actually it is a simulation. And we aim to determine the spatial and heat flux evolution of the system. The system consists of two concentric cylinders separated by an insulating material. I change the value of kappa of the insulator but the heat flux remains always the...
Hellow. I am doing an introductory to Quantum Mechanics course, and the irreducible solution appeared in the harmonic oscillator. When we talk about the irreducible solution, this is the solution as a linear combination of the eigenbasis of the system. This is understandable, however, if I have...
Hey,
I would like to do an exchange year at Imperial. I would like to follow as a physicist the Functional Analysis course. However, I have not heard the best things about this peculiar course. What is the audience opinion on that?