I am reading a paper about quantum many-body scar based on the spin-1 XY model. I noticed that he write down the Hamiltonian as follows
$$
H=J \sum_{\langle i j\rangle}\left(S_{i}^{x} S_{j}^{x}+S_{i}^{y} S_{j}^{y}\right)+h \sum_{i} S_{i}^{z}+D \sum_{i}\left(S_{i}^{z}\right)^{2}
$$
which is a...
Thanks for your introduction😂(and sorry for late reply) I am not going to do such thing that may bring me Nobel Prize. And maybe what I am trying to do is not giving a complete explanation to the relation between viscosity and turbulence. I am trying to get some empirical formula(such as the...
That‘s the point, I am trying to measure the viscosity itself. So I should upgrade the setup if I choose that way.
Maybe it is hard to calculate it theoretically and maybe measure viscosity in that way is meaningless🤔So I should think twice before I make a decision 🤔
Could you please detail the...
http://www.tsfp-conference.org/proceedings/2019/276.pdf
Here is one of the reference I found. I am going to set up a device similar to the device in it.
Hi, all. Recently I plan to participate in an physics competition which focuses on viscosity measurements of liquid~I’ve investigted some kinds of methods such as capillary viscometers, Rotational viscometers, Vibrating Viscometers, co-flowing laminar viscometers and so on.
I hope to find a...
When I come into contact with these two concept in the book of Landau, I gradually know how to use ##A^i or A_i## to simplify the calculation in special relativity.
But I found it hard to give an explicit explanation for them(including gauge matrix) in the aspect of physics.
Could you please...
I finally found it exactly meet what I work out in my #8, and I try to follow your thoughts and verify that the angle you show is right. Thank you for giving me another opinion of this question ~👍
Hello,thank you for your patience and the guidance~
Do you mean that:
$$R^{-1}LR=(LR^{-1})^TR=L^TR^2$$
Then we can define that
$$R^*\equiv R, L^*\equiv L^T=L$$
and we can interpret the successive boosts as##L^*R^*R^*##,or ##LRR##...
:biggrin:wah!So many interesting things can be found through your calculation.Yesterday, I was thinking about the physical meaning of the equation,$$L_1L_2=(L_2L_1)^T$$
But I failed to find a clear meaning in physics.
Is that mean a kind of symmetry?
And~according to your theory, the...
WOW! I worked out the matrix of the rotation$$R=\begin{pmatrix}cos\varepsilon&sin\varepsilon&0\\-sin\varepsilon&cos\varepsilon&0\\0&0&1\end{pmatrix}$$
and$$sin\varepsilon=\frac{\gamma-1}{\gamma}\frac{\beta_x\beta_y\gamma_x}{\beta_x^2+\beta_y^2}$$
And I've read some paper about the Thomas...
Though I don't understand the 'Wigner/Tomas/Wigner-Tomas rotation' completely now, but I think you show me a clear road to go by myself. I am so grateful to you for answering my question.