Recent content by techsingularity2042

Yes, capturing the correct energetics means ensuring that the effective Hamiltonian reproduces the singlet-triplet splitting from the underlying Hubbard model, with the singlet state lowered by the exchange energy while the triplet remains at a higher energy.

For the t-J model, The extra -1/4ninj term is essential because it reflects the fact that the system can have holes (i.e., deviations from one electron per site). Its presence is crucial for capturing the correct energetics and interactions in a doped Mott insulator, affecting how spins and...

You first need to find spin orbit coupling energy and Zeeman splitting energy. Anomalous Zeeman effect occurs when ΔEZ ≪ ΔESO and Paschen back effect when ΔEZ ≥ ΔESO.

Thanks, I overlooked the part 'per unit length'. Reducing the number of lines per unit length increases the distance between slits. This leads to decrease in the distance between the neighboring bright fringes. So the second maxima would be captured on the screen.

it says 'working'

A working refrigerator with the door open is placed in a sealed room. The entropy of the room A. is zero. B. decreases. C. remains unchanged. D. increases. I chose C. Here's my thought process: In a working refrigerator, a compressor compresses a refrigerant (at a gas state) in the coil, and...

A. Decrease the distance between the diffraction grating and the source of light B. Increase the distance between the diffraction grating and the screen C. Increase the wavelength of the monochromatic light D. Reduce the number of lines per unit length of the diffraction grating I chose A...

I want to explain my thoughts longer, but since my English is terrible, I will try to keep it as short as possible. This is the Minkowski diagram for the question above. ct-axis is the worldline of the space station, and ct'-axis is the worldline of the spacecraft. What I am confused about is...

How could you tell that I had to use the inverse Lorentz transformation equation? I get different signs from the spacetime and Lorentz transformation equation. If I got a negative sign, does that mean I assigned a wrong sign to my variables? Thank you.

L' as in contracted length?

It is explicitly stated that in the primed frame is X's frame in the picture. You can tell from the graph that the velocity of the train is positive because the worldline of X has a negative gradient. Which part of my working made you think I needed practice at setting up Lorentz...

I have two questions. The First one is: I can obtain the time difference between the events in the observer's reference frame easily from the Lorentz transformation equation. It seems that the negative sign implies the order of events. But I do not get how. Instead, I can draw a Minkowski...

I tried with this method, but I only get imaginary numbers because the spacetime interval is a negative value.

Thanks! I wasn't getting the hang of it because English is not my first language

Yup, you are right. Thanks!