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.
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...
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...
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...