The generator of spatial translations is momentum. In quantum mechanics this makes a lot of sense to me and so we can write the translation operator like this: $$\hat{T}(\Delta \textbf{r}) = e^{\frac{i}{\hbar}\Delta \textbf{r} \cdot \hat{p}}.$$ Is there an equivalent expression (writing the trans...

As stars age, the concentration of Hydrogen in the core decreases which lowers the power output, causing an imbalance between outward radiation pressure and inward gravitational pressure. This causes the core to collapse so that it becomes denser and hotter, which increases fusion rate until it g...

I'm stuck on a fairly simple problem regarding Kirchoff's law, using this diagram: The question asks: What is the current through the $10.0$ V battery? The solution manual says that the answer is $0.583$ Amps, derived from adding the current through the $20.0$ Ohm resistor and the curre...