I don't think quantum mechanics needs to be changed - only its interpretation must be made more rational. This is what I think I achieved.
The problem here is that observers are themselves quantum objects whose observations must be ultimately understood in terms of the unitary quantum...
This a mystery only for those who think the discrete quantum information approach carries the essence of quantum mechanics, and forgot the origins of modern quantum mechanics 100 years ago:
Heisenberg discovered in 1925 that the observed Rydberg-Ritz combination principle is encoded in the...
B (idealized), C (realistically)
While there is no position operator (and hence no Schrödinger picture), photons still have (relativistic) wave functions. See What is a photon? in Chapter B2: Photons and Electrons of my Theoretical Physics FAQ. The wave function of a photon in vacuum is in the...
1. The use of symmetry (in the form of Lie algebras and Lie groups) organizes the vast material on quantum physics into a form that emphasizes the quantum-classical correspondence.
2. Emphasis is on conceptual understanding rather than on computational techniques. The latter are often simpler...
The concept of operator relevant for QM is that of a 'densely defined operator', i.e., a linear operator A from a dense subspace of the Hilbert space into the Hilbert space; ; see https://en.wikipedia.org/wiki/Densely_defined_operator . The maximal such subspace is called the domain of A.
All...
They must only be classically nonlocal. Note that Bell's theorem is not a theorem about quantum mechanics, but about classical local hidden variable theories. Thus the viaolation of the Bell inequalities only demonstrates that quantum mechanics is not a classical local hidden variable theory...