Journal
COMMUNICATIONS IN THEORETICAL PHYSICS
Volume 64, Issue 1, Pages 47-53Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/64/1/47
Keywords
creation and annihilation of particles; decoherence; superposition principle; double slit experiment
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The problem of the wave function collapse (a problem of measurement in quantum mechanics) is considered. It is shown that it can be solved based on quantum mechanics and does not require any additional assumptions or new theories. The particle creation and annihilation processes, which are described based on quantum field theory, play a key role in the measurement processes. Superposition principle is not valid for the system of equations of quantum field theory for particles and fields, because this system is a non-linear. As a result of the creation (annihilation) of a particle, an additional uncertainty arises, which smears the interference pattern. The imposition of such a large number of uncertainties in the repetitive measurements leads to the classical behavior of particles. The decoherence theory also implies the creation and annihilation of particles, and this processes are the consequence of non-linearity of quantum mechanics. In this case, the term collapse of the wave function becomes a consequence of the other statements of quantum mechanics instead of a separate postulate of quantum mechanics.
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