“Have you observed a Hermitian operator?”-Nonfederal Nonreserve
Yes, I have. Everyday. As already explained, a Hermitian operator is mathematical method that helps construct the proper assingnment to equations (“operators”) that aid in understanding the dynamics of particles and molecules.
There exist countless programs and devices that are used to observe atomic, sub-atomic, and molecular behavior that rely on Hermitian operators and much, much more.
You want evidence. Here you go.
http://journals.iucr.org/c/issues/2010/10/00/ku3027/ku3027bdy.html
This was a paper I published earlier this year on the absolute structure of a drug I’m researching for my doctoral studies. It was reviewed by a number of scientist (chemist, physicist, molecular biologist) . Basically, it entails using x-rays to probe into a molecule. The x-rays scatter from the complicated electronic wave behaviour within the molecule, and hit a detector. Then using inverse laws of physics (primarily, quantum theory) we are able to reconstruct the molecule. In addition, we have to construct a quantum mechanical model first, out of pure theory, before the experiment. As always, the quantum mechanical model is correct and agrees with experiments. Within the empirical evidence there exist the Hilbert Space formulation, convolution theorem, wave propagation, electron tunneling, probability distribution, and much more.
Again, all the properties of the electronic structure within the molecule have a theoretical framework that is verified with incredible precision of experimentation.
IF ONE SINGLE ANOMALY EXIST WITHIN OUR EXPERIMENT THAT IS NOT ABLE TO BE DESCRIBED BY QUANTUM THEORY THAN THE ENTIRE EXPERIMENT IS DISCARDED, AND THE ENTIRE EXPERIMENT IS REPEATED. IN THE LAST 90 YEARS NOT ONE EXPERIMENT HAS GIVEN ONE ANOMALY. That’s all it takes for quantum thoery to be proven wrong is one reproducible anomaly within a experiment. Would I welcome such an observation. Absolutely! As a scientist, I must be opened to any factors that state that common theory may be wrong. That is the strongest component of science: a greater understanding of nature. This is the primary objective of science.
However, like I’ve said before, quantum mechanics is central to a great deal of technology that proves its construction is correct. You’re incorporating technology based on quantum theory right now. The circuit boards that make up your computer were created by solid state physicist using a technology called p-n junction nodes that are entirely based on quantum mechanical principles. The understanding of plastics, computers, synthesized material, lasers, maser, microwave ovens, … and countless other technologies rely on equations derivived from quantum theory.