What is the fundamental theory of quantum mechanics?

In summary, quantum theory is not necessarily about quanta, as many quantum quantities have a continuous spectrum. Schrodinger's equation, which was previously thought to be the quantum theory of electrons, is not completely accurate as it is non-relativistic and does not account for electron spin. The more accurate Dirac equation includes spin and conserves probability, but it needs to be second quantized. This is also true for the Klein-Gordon equation, which is not completely accurate on its own. The true definition of spin comes from irreducible representations of the rotation group SU(2). Fields, rather than particles, are considered to be the fundamental objects in quantum theory. However, in condensed-matter physics, particles are seen as more fundamental
  • #36
Demystifier said:
It's not only that BM is compatible with decoherence, but decoherence is actually ESSENTIAL for BM to work. In fact, in his famous paper Bohm actually anticipated the main ingredients of decoherence, before the notion of "decoherence" in quantum physics even existed.

I bow to your superior knowledge of it.

Thanks
Bill
 
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  • #37
bhobba said:
It must be, because BM is indistinguishable from the formalism of QM.

The modern version of collapse, which strictly only applies to filtering observations, is how an improper mixture becomes a proper one, which is the issue 3 mentioned previously ie the problem of definite outcomes. Since in BM particles have a definite position and trajectory it's easy to see the improper mixture is a proper one.

Thanks
Bill

I'm not convinced that it's the same (BM and standard QM). In BM, the mixture is always proper, while in standard QM, measurement (or decoherence) is needed to change a pure state into a mixed state.
 

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