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19922012
most citedSchrödinger operators with complex potential but real spectrum

295 citations · 1.9k across the 43 of their papers we have counts for

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9 papers · 1 filter

gr-qc2012★ 23 cited

Remarks on the general solution for the flat Friedman universe with exponential scalar-field potential and dust

A. A. Andrianov, F. Cannata, A. Y. Kamenshchik

We show that the simple extension of the method of obtaining the general exact solution for the cosmological model with the exponential scalar-field potential to the case when the…

gr-qc2011★ 55 cited

General solution of scalar field cosmology with a (piecewise) exponential potential

A. A. Andrianov, F. Cannata, A. Yu. Kamenshchik

We study in detail the general solution for a scalar field cosmology with an exponential potential, correcting some imprecisions, encountered previously in the literature. In addit…

gr-qc2008★ 11 cited

Phantom without phantom or how the PT symmetry saves us from the Big Rip

A. A. Andrianov, F. Cannata, A. Y. Kamenshchik +1

We consider the PT symmetric flat Friedmann model of two scalar fields with positive kinetic terms. While the potential of one ("normal") field is taken real, that of the other fie…

gr-qc2008★ 16 cited

Scalar field cosmological models with finite scale factor singularities

Francesco Cannata, Alexander Yu. Kamenshchik, Daniele Regoli

We construct a scalar field based cosmological model, possessing a cosmological singularity characterized by a finite value of the cosmological radius and an infinite scalar curvat…

gr-qc2007★ 24 cited

Reconstruction of scalar potentials in two-field cosmological models

Alexander A. Andrianov, Francesco Cannata, Alexander Y. Kamenshchik +1

We study the procedure of the reconstruction of phantom-scalar field potentials in two-field cosmological models. It is shown that while in the one-field case the chosen cosmologic…

gr-qc2006★ 38 cited

Complex Lagrangians and phantom cosmology

A. A. Andrianov, F. Cannata, A. Y. Kamenshchik

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 transit…