12 citations · 78 across the 36 of their papers we have counts for
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Scalar fields with power-law potentials in quantum cosmology
V. E. Kuzmichev, V. V. Kuzmichev
A homogeneous and isotropic quantum cosmological system (universe) initially filled with a uniform scalar field that has a potential in the power law representation is considered.…
On primordial matter production induced by spatial curvature in the early universe
V. E. Kuzmichev, V. V. Kuzmichev
In this note, it is shown that nonvanishing spatial curvature produces primordial matter in the initially empty universe due to quantum gravity effects. This matter decays faster t…
Cosmology with the matter component decaying faster than radiation
V. E. Kuzmichev, V. V. Kuzmichev
The impact of a fast decaying component of mass-energy, that decreases faster than radiation with the increase of the scale factor, on the evolution of the universe is studied usin…
Minisuperspace model of quantum geometrodynamics in the Madelung-Bohm formalism
V. E. Kuzmichev, V. V. Kuzmichev
An analogy between non-relativistic quantum mechanics in the Madelung formulation and quantum geometrodynamics in the case of the maximally symmetric space is drawn. The equations…
The Hubble tension from the standpoint of quantum cosmology
V. E. Kuzmichev, V. V. Kuzmichev
The Hubble tension is analyzed in the framework of quantum cosmological approach. It is found that there arises a new summand in the expression for the total energy density stipula…
Generalized uncertainty principle in quantum cosmology for the maximally symmetric space
V. E. Kuzmichev, V. V. Kuzmichev
The new uncertainty relation is derived in the context of the canonical quantum theory with gravity for the case of the maximally symmetric space. This relation establishes a conne…
The matter-energy intensity distribution in a quantum gravitational system
V. E. Kuzmichev, V. V. Kuzmichev
In the framework of the method of constraint system quantization, a quantum gravitational system (QGS) with the maximally symmetric geometry is studied. The state vector of the QGS…
Comparative description of the evolving universe in classical and quantum geometrodynamics
V. E. Kuzmichev, V. V. Kuzmichev
The description of the universe evolving in time according to general relativity is given in comparison with the quantum description of the same universe in terms of semiclassical…
Quantum dynamics of the early universe
V. E. Kuzmichev, V. V. Kuzmichev
Quantum gravity may shed light on the prehistory of the universe. Quantum corrections to gravity affect the dynamics of the expansion of the universe. Their influence is studied on…
Quantum corrections to the dynamics of the expanding universe
V. E. Kuzmichev, V. V. Kuzmichev
The dynamics of the expanding universe is analyzed in terms of the quantum geometrodynamical model. It is shown that the equations of quantum theory in the form of the eigenvalues…
Cosmological consequences of the redistribution of energy between matter components in the very early universe
V. E. Kuzmichev, V. V. Kuzmichev
The evolution of matter in the expanding FRW universe during the time interval between the end of inflation and the beginning of the radiation-dominated era is studied. A constrain…
Two-component perfect fluid in FRW universe
V. E. Kuzmichev, V. V. Kuzmichev
We consider the cosmological model which allows to describe on equal footing the evolution of matter in the universe on the time interval from the inflation till the domination of…
Universe on Extremely Small Spacetime Scales: Quantum Geometrodynamical Approach
V. E. Kuzmichev, V. V. Kuzmichev
The semi-classical approach to the quantum geometrodynamical model is used for the description of the properties of the universe on extremely small spacetime scales. Quantum theory…
Semi-classical Universe Near Initial Singularity
V. E. Kuzmichev, V. V. Kuzmichev
The properties of the quantum universe on extremely small spacetime scales are studied in the semi-classical approach to the well-defined quantum model. It is shown that near the i…
Accelerating Quantum Universe
V. E. Kuzmichev, V. V. Kuzmichev
The origin of negative pressure fluid (the dark energy) is investigated in the quantum model of the homogeneous, isotropic and closed universe filled with a uniform scalar field an…
The Big Bang quantum cosmology: The matter-energy production epoch
V. E. Kuzmichev, V. V. Kuzmichev
The exactly solvable quantum model of the homogeneous, isotropic and closed universe in the matter-energy production epoch is considered. It is assumed that the universe is origina…
Properties of the quasistationary universe in context of the Big-bang cosmology problems
V. E. Kuzmichev, V. V. Kuzmichev
Old and new puzzles of cosmology are reexamined from the point of view of quantum theory of the universe developed here. It is shown that in proposed approach the difficulties of t…
Highly Excited Friedmann Universe
V. V. Kuzmichev
A highly excited Friedmann universe filled with a scalar field and radiation has been considered. On the basis of a direct solution to the quantum-mechanical problem with a well-de…
Evolution of the Quantum Friedmann Universe Featuring Radiation
V. V. Kuzmichev
The classical and quantum models of the Friedmann universe originally filled with a scalar field and radiation have been studied. The radiation has been used to specify a reference…