Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transition from ordinary dark energy to the phantom one. The model is based on a classical complex Lagrangian of a scalar field. Specific symmetry properties analogous to PT in non-Hermitian quantum mechanics lead to purely real equation of motion.
A.A. Andrianov, F. Cannata, A.Yu. Kamenshchik (2006). Complex Lagrangians and phantom cosmology. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 39, 9975-9982 [10.1088/0305-4470/39/32/S02].
Complex Lagrangians and phantom cosmology
KAMENCHTCHIK, ALEXANDR
2006
Abstract
Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transition from ordinary dark energy to the phantom one. The model is based on a classical complex Lagrangian of a scalar field. Specific symmetry properties analogous to PT in non-Hermitian quantum mechanics lead to purely real equation of motion.File in questo prodotto:
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