Quantum cosmology with fermion matter.

Mathematics – Logic

Scientific paper

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Cosmological Models: Quantum Effects

Scientific paper

In the scope of the formalism of superspace quantization the evolution of homogeneous isotropic cosmological models with fermion matter, which is described by spinor fields, is considered. Here, the fact is used that the square combinations of fermion operators are boson operators and allow an explicit Schrödinger representation. It is shown that de Witt's equation for the studied cosmological models with fermion matter has the form of Schrödinger's equation, in consequence of which a correct determination of the probability density of the existence of the considered models is possible, where singularity is eliminated.

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