Natural Science Forum / Physics / Research / March 2008

I guess there are two essentially equivalent formulations of the
exterior covariant deriviative depending on whether one likes to work
with principal bundles or prefers to stick to vector bundle. Anyway, I
am using the term in the sense of Darling's book. Walter Poor's book

An isolated electron (magnetic moment mu) in motion in a uniform
magnetostatic field of magnitude, B, has a potential energy, U, within
the range -mu B < U < mu B.  If U is not at its minimum value the
electron is precessing.

I am looking for a source which explicitly states the relation
between the Bohr-Sommerfeld quantization conditions and the
integrality condition in the geometric quantization of Lie groups.
This relation is opften alluded to in the literature,

I was wondering if anyone knows of systems for which the Hamiltonian is not
equal to the total energy? This is an interesting problem in analytic
mechanics (e.g. Lagrangian and Hamiltonian dynamics) but is rarely, if ever,
mentioned in forums and newsgroups. I'd love to see a ...

I'm looking to solve the time-dependent Schrodinger equition for a
particle in a time-dependent periodic potential. So the Hamiltonian
looks like:
H = H_0 + eVcos(wt)

If I look at a simple chronology for the Big Bang, I see that there's
a period between the advent of the big bang and then maybe a few
million years out where there's enough hydrogen and helium gas for the
first stars to form.  It's immensely fascinating, and I have a

In the Principia Newton defined time and space for physics:
<quote>
I.  Absolute, true, and mathematical time, of itself, and from its own
nature, flows equably without relation to anything external, and by

Could one use X-ray photons to produce interference patterns with de
Broglie matter waves, e.g., of Helium?
X-rays have an EM wavelength in the .1 Nm range. Cold Helium atoms
have a de Broglie matter wavelength in the same .1 nM range.

Dear Collegues,
my open quantum system research led me to a mathematical problem that
I can't seem to solve without some help. I need the statistical
moments of certain expressions that are subject to unitary transforms.

More of a mad idea.
Some while ago I posted the suggestion that uncertainty in QM might be
conserved in some way.  The basis for this suggestion was this idea.
Suppose we have a system in which a particle is described by some

This famous paradox is about the distance between two identicaly
accelerating rockets starting from rest from an inertial lab frame. It
is described i.e in:
http://math.ucr.edu/home/baez/physics/Relativity/SR/spaceship_puzzle.html

Is it possible to generate coherent white light? This is sorta like
laser light except it gives out all wavelengths of visible light at
equal intensities at the same time. Is this possible?
Thanks,

I will like some one to confirm my thinking to the following:
We know that:
1 Newton = kgr * m/sec^2
So if the force is not applied constant but periodicaly let say half

I am attempting to clarify, in my own mind, the physics that can be
seen from the reference frame of an observer who accelerates away from
an inertial origin at a constant g.
As far as I can tell, that observer should

I read that one electron interferes with himself.
Now I wonder do the wave functions of two electrons interfere.
Practically it's easier to formulate and check it for photons so the
questions is formulated for lasers.