According to the idea of de Broglie when an electron goes from excited state to the ground state a photon is released and simultaneously a wave. But there are many experiments in Cavity quantum electrodynamics (since mid 80) where a photon emission is totally suppressed in cavities which is explained by the idea that the wave interferes negatively with its back reflected wave prohibiting the electron emitting a photon. That means that the wave is launched preliminary and exist on its own. Has the idea of de Broglie to be corrected then in sense that always a wave is starting some time before the particle?
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there is no particle without wave and no wave without particle. Is this true?
The wave function "of an electron" does not describe how a single electron will behave in detail. The wave function does not describe the detailed trajectory of any single electron. In quantum mechanics, there is no way to describe the trajectory (position as a function of time) of any single electron. The best we can to in quantum mechanics is to calculate an expectation value.
The wave function is probabilistic; it describes the various possibilities of what could happen, not what does happen.
For example, in the "double slit" experiment, the squared wave function provides the probabilities that if you measure you will find the electron at a given location. The wave function does not tell you what actually will happen. The actual measured location of the electron at the detector screen is the "particle" nature of the electron; the detector registers a discrete-looking blip/blob on the detector screen. If this experiment is repeated a bunch of times then the distribution of blips/blobs will start to look like the projection of the squared wave function on the detector screen.
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