Recent content by chaksome
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Undergrad What is the role of the D term in the Spin-1 XY model's Hamiltonian?
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...- chaksome
- Thread
- Model
- Replies: 1
- Forum: Quantum Physics
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Undergrad Can turbulence help measure liquid viscosity more accurately?
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... -
Undergrad Can turbulence help measure liquid viscosity more accurately?
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... -
Undergrad Can turbulence help measure liquid viscosity more accurately?
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. -
Undergrad Can turbulence help measure liquid viscosity more accurately?
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... -
Solution for a second-order differential equation
Oh, I haven‘t learned that^v^ Do you mean this chapter will help me understand this problem? I can try to learn it~- chaksome
- Post #3
- Forum: Calculus and Beyond Homework Help
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Solution for a second-order differential equation
I wish to know if there is a method to work out x(t). [No matter which form f(t) is] Thank you~- chaksome
- Thread
- Differential Differential equation
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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High School How to understand 'covariance' and 'contravariance'
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...- chaksome
- Thread
- Covariance
- Replies: 6
- Forum: Special and General Relativity
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Undergrad Lorentz transformation for 3 frames (2 dimensions)
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 ~👍- chaksome
- Post #15
- Forum: Special and General Relativity
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Undergrad Lorentz transformation for 3 frames (2 dimensions)
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##...- chaksome
- Post #13
- Forum: Special and General Relativity
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Undergrad Lorentz transformation for 3 frames (2 dimensions)
: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...- chaksome
- Post #11
- Forum: Special and General Relativity
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Undergrad Photon Speed Addition: Can it Be FTL?
I think when you make an assumption,you should always consider that whether you break the more basic rule.- chaksome
- Post #8
- Forum: Special and General Relativity
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Undergrad Lorentz transformation for 3 frames (2 dimensions)
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...- chaksome
- Post #8
- Forum: Special and General Relativity
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Undergrad Lorentz transformation for 3 frames (2 dimensions)
I gradually come to understand, the what you say also explain the phenomenon that expression of ct” in (1)and(2) are the same. Thanks a lot!- chaksome
- Post #7
- Forum: Special and General Relativity
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Undergrad Lorentz transformation for 3 frames (2 dimensions)
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.- chaksome
- Post #5
- Forum: Special and General Relativity