That's not what I did. I stated a couple of objections, and confessed that I wouldn't be able to understand a mathematical explanation of why my objections were misplaced. This was an implied suggestion to anyone who wanted to address my objections that I would prefer a non-mathematical explanation. If nothing but mathematics could explain it, too bad for me.
Surely your degree in physics gives you such knowledge.
He's stated a different physical-not-mathematical objection to the theory. I don't see a condescending follow-up from you to his post.
I've followed your suggestion, but I've been unable to confirm the claims which PBS is making there. In fact, at
this site, and specifically at
this link, it says:
The discovery of the p-n junction is attributed to a "serendipitous discovery" rather than a methodical application of quantum theory. Your men Wigner and Sietz, while contributing to quantum theory, don't appear to have been pivotal in the development of semiconductors, though something called a "Wigner-Seitz cell" serves as a half-page introduction to something called Brillouin Zones in some semiconductor texts (usually no discussion of quantum effects there, but maybe it's implied).
I apologize if I've taken this too personally, but I was annoyed by your "You're wrong; the proof is left as an exercise for you" response. If you don't have something educational to offer, is there really any need to get smug about the ignorance I've already admitted?