CLASSICAL AND QUANTUM CHAOS
7 Mar 2001
(10 Mar 2001):
I read recently some parts of your e-book and liked very
I read some your articles about cycle expansions and
all of Wintgen's helium atom articles.
Recently, I have studied some special
orbits of the hydrogen molecule (Bohr and Langmuir orbits)
[see PRL 77 (1996) 4516
PRA 58 (1998) 1846]
starting from Bohr's work on the hydrogen molecule.
I attempted a semiclassical quantization with a few PO's.
The 1-D PO of hydrogen molecule is very similar to
Zee configurations of helium atom.
The hydrogen molecule is more complex than the helium atom since
the spherical symmetry is broken.
Now I am calculating the
1-D hydrogen molecule in axial and pendular configurations.
It is known that the hydrogen molecule is a important system
to understand the chemical bond, the three-body and four-body
problems. It is a chaotic system where the
classical, semiclassical and quantum aspects are important.
And because of that, I ask that you include a discussion
of that system in your book, if possible.
We are so far behind with other sections of the book that
this will not happen anytime soon, to be realistic. However,
what I can do very easily is to add a contributed section
to the ChaosBook extras homepage
and link the contributed text to the
helium quantization chapter of the main text. Do you want to give it
a try? If we like it and it fits well into the flow of the book
it might eventually migrate into the text proper.