[FRIAM] two books (perhaps a bit more)

[Roger Critchlow]

I love atomic orbitals, I spent days plotting them out by hand on polar
graph paper when I first learned about them.

http://scarc.library.oregonstate.edu/coll/pauling/bond/ is an archive of
Linus Pauling papers.  Pauling figured out orbital hybridization over
1927-1931.  Slater figured it out at about the same time.  They submitted
papers within a month of each other that were both published in the spring
of 1931.  Scans of both papers are in the Pauling archive, and there's a
slightly breathless narrative that explains how Pauling's version came
about.  For a more systematic treatment, you could look at Pauling's
Introduction to Quantum Mechanics with Applications to Chemistry (thank you
Dover Books) first published in 1935.

-- rec --

On Thu, Nov 29, 2018 at 1:58 PM Jon Zingale <jonzingale at gmail.com> wrote:

> Dave,
>
> It is good to hear your voice. Sarah is presently
> finishing a pair of chemistry classes at UNM.
> In classic St. John's style, she is constantly
> bringing me the kind of thoughtful questions
> which send me diving into books on quantum
> mechanics and wishing my group theory were
> stronger. Most recently, we attempted to understand
> the mechanics of hybridization.
>
> Almost nowhere can I find a clear exposition
> connecting the theory (with its Lie groups and
> discussions of overtones) to the empirical.
> Penrose's book, from what I remember, similarly
> falls short. The Baez book
> <https://www.amazon.com/GAUGE-FIELDS-KNOTS-GRAVITY-Everything/dp/9810220340>,
> which a few of us
> formed a reading group around last year, did a
> fairly good job of connecting the many ideas
> and technologies mathematical physicists use
> in developing modern theory. Often the requisite
> mathematics is beyond what can be expected for
> a PhD in mathematics. However, the text left me
> with a feeling of efficacy that I could track down
> the needed math and get to work.
>
> Perhaps tangentially (wrt philosophy of science),
> there has been some interest around the table here
> in reservoir computing, and some of the bold claims
> about being able to predict chaotic trajectories
> <https://mail-attachment.googleusercontent.com/attachment/u/0/?ui=2&ik=a33a25cbf7&attid=0.1&permmsgid=msg-f:1617592106450468931&th=1672d7735074c043&view=att&disp=inline&sadnir=2&saddbat=ANGjdJ-zXLctoXRpve6kgzzxO-OjAEPIbgA9WwC-xPKH4loEyEuhdwm8ZhXn4L_yzdC9cU8Iv0yIZEUq5__8Z0AMXdihGbHmvSidrDaZd8aggIPRGdpN0xc91Vx7ZZBtrMuV6rG0tPBj-eNyADuZJKYJ0aNnNfxRZ4s3TgZwGB9Tj3jDfFLJFCFaWyo7KxEw5csL5tFGb3xAQz2d8g4r-e_ZDKwJrUT4Bqnzl73cn2NvPbX-v2AtOFi4xpE6Yyd-7pL_bU6iuLD5oyF8RJqmMtRM_bGTMorQbgrq6m617Du-aGKz2NodqSCMmy-TS596IwkFBiUOepBHyUA11T8s6uSW6pNonwbKu0WLJkNAMwXNuyylbnFoLP5ZFtx-PXZGakgknOoNqNsDAfnG_Wg9IODOxxtstFs6NcNRwwaHjBVD1N2Fw2rXt-dyLMmy7PSMRT1EKt4l05axXk0JebhcrPpob9FSfm7uIxTL7DxUpqW_AeZeTnRC5G6ZH0vAPZM-w20cRVvv24dxex7yWGOFneUQRhVqGQlDag4mRYCCta2fC0ghB7yBUs5sF-ak4oSVhyG1cAYHiXS_BvxuXKLYpsHwGGuZL_GHzcAxTwD60Lxqqz2ReEF3x1sy4jMbT2sXQigsse6ZVQs9hUoYGDqL>
> in the
> Kuromoto-Sivashinsky equations eight Lyapunov
> times into the future. While I have some loose sense
> for why some standard deep learning techniques
> work, the echo-state network approach has been
> down-right baffling to me. I mention this for two
> reasons. First, I trust your expertise in computing
> systems could offer some insight. Second, here is
> another moment in the history of science where we
> are running to form solid theory in the face of
> overwhelming odds, all-the-while the effectiveness
> of the empirical is plain as day. I sincerely hope
> that as this work is carried out, we manage to do
> a better job tracing the development of this knowledge
> than was done with the development of quantum
> mechanics. Perhaps some text can tell me once and
> for all whether the energies associated with orbitals
> are a  consequence of spherical harmonics?
> What about the geometry of molecular configurations?
>
> Cheers,
> Jonathan Zingale
>
>
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