Paul Colby's latest activity

The issue I have with this is the equation of motion, ##m\frac{d^2x}{dt^2} + k(t)^2x = 0##, Is quite different than this one...

The notion that just a nonlinear component, like a non-linear spring, leads to parametric amplification left me wondering. This wiki...

If the signal and pump are both applied to the mass, then the deflections will add. But to produce parametric action the spring...

For parametric amplification, doesn’t one need to change a parameter? In your case it would be changing the spring constant with time...

Cool. For an analytic function, ##f##, in two complex variables one may solve ##f(z_1,z_2)=0## for ##z_2## as a function of ##z_1##...

I don't know if the argument for my statement is of interest, but it is nice and fairly short; namely, Riemann showed for analytic...

Why is this any different than very large fluctuations being observed in local gas pressure in statistical mechanics? All micro-states...

are z1, z2 complex variables? if so, the zeroes of an analytic function of 2 complex variables are never isolated.

I was slowly tumbling to this fact. ##z_1## and ##z_2## correspond to analytically continued polar coordinate angles. In my problem...

Ah, problem solved. In the form asked, one simply solves ##f(z_1,z_2)=0## for ##z_2## in terms of ##z_1##. The real problem that was...

This question crops up in solving electromagnetic boundary value problems. For problems with rotational symmetry, if ##f## has a node at...

I have been investigating Barandes's approach further, and indeed, it is quite general and can be applied to QFT. As an overview of the...

These kind of discussions always add a bunch of stuff that’s just not there, IMO. There is no part of this interferometer experiment...

By this view, why isn’t QM more understandable to you than classical physics? It’s clearly a better theory. All the things known about...