Quantum Friedmann–Lemaitre cosmology with cosmological constant

Abstract:
The Friedmann–Lemaitre cosmology with cosmological constant in quantum context is studied. Quantization method for this cosmological model is proposed. The Dirac method for constrained systems is used, then the Fock space is built and the second quantization is carried out. Finally the diagonalization ansatz is proposed - combination of the Bogoliubov transformation and the Heisenberg equation of motion. As a result the Quantum Cosmology as the many-Universe system is formulated.