The wave is probability wave, it is seams that the wave function some time is correct, the energy is sent out. Some time it is wrong the energy is not sent out.

Hence we can obtained the conclusion that Maxwell equations and Schrödinger's equation some time is correct and some time is wrong. The theory of Maxwell equations and Schrödinger's are partially correct.

Is this conclusion correct?

  • $\begingroup$ I'm not sure I follow why QM & E&M are "partially correct" or "sometime[s] wrong" given (probability) waves. $\endgroup$
    – Kyle Kanos
    Mar 16 '18 at 9:59

No, it is the wrong conclusion. Classical equations and laws emerge from the quantum mechanical ones in a mathematically consistent way, similar to how thermodynamics, which has its special mathematics framework,emerges from statistical mechanics.

Photons built up the classical electromagnetic wave in a superposition of their quantum mechanical wavefunctions and this can be proven within quantum field theory.

In general, the underlying level is quantum mechanical , and the classical emerges from this level.

There is nothing wrong with an operator interpretation of the equations of quantum mechanics , which as far as the probabilities are concerned , are quite deterministic. The indeterminacy in the classical variables for positioning particles does not make anything wrong, because the indeterminacy is for very small values, comensurate to the Planck constant h. The variables in the classical range obey the Heisenberg uncertainty so there is no contradiction.

  • $\begingroup$ Thanks for the interesting references! What about the frequent claim that the electromagnetic field is not the quantum mechanical wave function of the photon? $\endgroup$
    – freecharly
    Mar 13 '18 at 13:21
  • $\begingroup$ It is correct. The wavefunction of the photon is the quantum mechanical solution, where the differentials in the maxwell equations are used as quantum mechanical operators. The classical EM field is the simple solution, but also,as I said,in QED it can be shown that the wavefunctions of the photon ( complex numbers) build up the classical field (real E and B fields) $\endgroup$
    – anna v
    Mar 13 '18 at 15:31
  • $\begingroup$ Thank you Anna! I will also read the paper you referenced. $\endgroup$
    – freecharly
    Mar 13 '18 at 15:46

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