Calm down. It’s alright. If this is going to chill you, I admit it, I don’t understand elementary mathematics. Please don’t go crazy. Let's try to keep it at the intellectual level, shall we? I don’t write “at least one mathematical symbol”, although it's really an idiotic way to judge knowledge because I can’t write it…! I have kept this as a secret for so many years… But amusingly, just because you probably have skimmed a few elementary books, you think you are an authority. I revealed my 'real life' profession. Could you enlighten us as to why we should take 'your deep understanding' more seriously?
We are not claiming we are smart. You know nothing about us because this is internet (so you shouldn't be so fierce to prove a point - this is not APS March Meeting, seriously it looks funny), and what we claim has nothing to do with your unwarranted attacks (on the lack of our mathematical knowledge which you know nothing about). That said, I am more than sure I’d beat your seemingly half-baked introductory understanding in any platform, but I am content and I don’t care at all.
I can see how your obsession with mathematics gets in the way, maybe you are a mathematician and you feel bad about it because you seem to have no idea what physics is really about. I suggest you start reading ‘lay’ books of Feynman, Gell-Mann instead of learning new tricks on ‘linear algebra’. That’ll do you more good.
The debate is not spinning around specific functions (Wigner) or concepts (momentum), so please don't desperately hold on to those to deliver a message, the point is whether we can really say we understand Quantum Mechanics as well as we understand billiard balls. Being able to write down the mathematical formalism is not enough! And don't make sharp remarks on things you don't know (billiard balls) - Boltzmann equation solves a lot of applied problems. The semiconductor CAD industry (i,e the laptop you are using) is based on 'billiard balls'.
A prime example on how interpretation changes the WAY we think about is non-locality. To explain EPR - MWI does not require the dubious spooky action at a distance. Can you see how much of a difference a MERE interpretation ( no math difference ) can cause? You are welcome to fool yourself that you already know the answer, but physicists BOTHER about PHYSICAL implications a theory suggests. We are not satistified when we fit an experimental curve with some fancy function. You HAVE to explain why it works. We NEED to know the machinery, and it must MAKE SENSE. The ramifications of different interpretations are HUGE. And the theory is not over yet. And no matter how much you elaborate on the subject, NO, you HAVE NO IDEA what the electron is up to inside an atom. Get over it!
Edit: Nobody didn't complain about angular momentum, I am just clarifying this for others who haven't followed the discussion, you are frantically trying to bring the argument down to the so-called elementary level, but it's not about that.
Follow the discussion and read #17.
Edit:
Sweet dreams...