# dayareishq

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 Jul22 awarded Yearling May5 awarded Notable Question Apr20 revised Converting between (abstract) linear operators and their position representations added 2 characters in body Apr20 answered Converting between (abstract) linear operators and their position representations Jan30 comment Curvature of Spacetime Also, relativity can be especially confusing and misleading without the math. Things like the twin paradox are essentially the result of the confusion caused by muddling conceptual phrases like "a moving clock works slower" and the precise mathematical equations. There is no paradox if you formulate the problem and subsequently solve it using just the precise mathematics. Jan28 comment Interpretation of the 1D transverve field Ising model vacuum state in a spin-language ... and if you get to that, do post it here as an answer, as I'd also be curious to see what it looks like. If you have any questions about this particular process, don't hesitate to ask. Jan28 comment Interpretation of the 1D transverve field Ising model vacuum state in a spin-language Also note that since your Hilbert space $2^N$ dimensional, a general state could have just as many terms. So even for small $N$, your ground state could look very terrible and have lots of terms. I say this since it's often a misconception when doing many spins that a state is decomposable or has a simple form where some spins are up and others are down. If you really are bent on it, I'd try working it out explicitly for some low dimensional cases like $N = 2$, $3$ etc, in which case you could just write out a matrix for the Hamiltonian and use a computer to find your ground state.... Jan20 comment Proving Lorentz invariance of Maxwell equations Well firstly, it would be difficult to teach the most sophisticated version to people who are just starting out their undergraduate careers in Physics. Seeing how the electric and magnetic fields behave physically is also much clearer if you write them in terms of vector calculus notation. Jan20 comment Proving Lorentz invariance of Maxwell equations Yes. You can write Maxwell's equations in terms of differential forms as well. This equation is simply $dF = 0$ in that notation. Jan20 comment Proving Lorentz invariance of Maxwell equations Webb, the equation of the OP isn't derived from that Lagrangian however. That's the Bianchi identity and holds as soon as you say that your field strength $F$ is derived from a potential. $\mathcal{L}_{EM}$ gives you the other equation $\partial_{\mu}F^{\mu \nu} = 0$, if I'm not mistaken. Jan20 answered Proving Lorentz invariance of Maxwell equations Jan12 comment Generalized tight-binding model - how to solve it? Are you familiar with how to solve the $\chi_{r,r+1} = 1$ case? Jan11 answered Kähler and complex manifolds Jan5 revised Canonical momentum density vs. energy-momentum tensor added 6 characters in body Jan5 awarded Critic Jan5 comment Trouble with classical mechanics self-learning (How to avoid going down the Physics rabbit hole?) Rudin's PMA? Honestly? What one needs for basic physics is Stewart-style Calculus, namely a hueristic idea of what limits, derivatives and integrals are, and how to do effective computations with them. Most practicing physicists will never need the proofs of the Heine-Borel and Baire Category theorems in their entire career. Let alone someone who is just starting to self study Newtonian mechanics. Jan5 answered Canonical momentum density vs. energy-momentum tensor Jan1 revised Schroedinger field operators and their commutation relations added 45 characters in body Jan1 answered Schroedinger field operators and their commutation relations Sep18 comment In what sense is the path integral an independent formulation of Quantum Mechanics/Field Theory? Sorry for that. I meant "we all know..." in the sense that it's the way a person familiar with the subject will traditionally think about things.