Recent content by DCN

If the operators for two observables commute, the observables share a common set of eigenfunctions. If this is the case, then Alice can predict what Bob will measure.

Write it out in a Taylor series.

Homework Statement Find \int_{0}^{\infty} \frac{\cos(\pi x)}{1-4x^2} dx Homework Equations The residue theorem The Attempt at a Solution The residue of this function at $$x=\pm\frac{1}{2}$$ is zero. Therefore shouldn't the integral be zero, if you take a closed path as a hemisphere in the...

How would you isolate E from Faraday's law?

By Faraday's Law, we know that a changing magnetic field can induce a potential around a loop of wire and it follows that any charges in the loop will experience a force, otherwise they wouldn't move. Therefore a changing magnetic field exerts a force on stationary charges. How do you tell the...

How does that work?

If that's the case, then please explain this. Let's say that there is a test charge ##q## whose position from the origin is given by the radial vector ##\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}}\over r} ## and there is a source charge ##Q## at the origin moving to...

The force on a particle moving through a magnetic field is given by: $$\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}}\over F} = q\,\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}}\over v} \times...