1,060 research outputs found
Chameleon Cosmology Model Describing the Phantom Divide Line Crossing
An exact solution describing the evolution of the type Bang-to-Rip with the
phantom divide line crossing is constructed in the Chameleon cosmology model,
based on two independent functions of the scalar field.Comment: 9 page
PT-symmetric sextic potentials
The family of complex PT-symmetric sextic potentials is studied to show that
for various cases the system is essentially quasi-solvable and possesses real,
discrete energy eigenvalues. For a particular choice of parameters, we find
that under supersymmetric transformations the underlying potential picks up a
reflectionless part.Comment: 8 pages, LaTeX with amssym, no figure
Three-Dimensional Solutions of Supersymmetrical Intertwining Relations and Pairs of Isospectral Hamiltonians
The general solution of SUSY intertwining relations for three-dimensional
Schr\"odinger operators is built using the class of second order supercharges
with nondegenerate constant metric. This solution includes several models with
arbitrary parameters. We are interested only in quantum systems which are not
amenable to separation of variables, i.e. can not be reduced to lower
dimensional problems. All constructed Hamiltonians are partially integrable -
each of them commutes with a symmetry operator of fourth order in momenta. The
same models can be considered also for complex values of parameters leading to
a class of non-Hermitian isospectral Hamiltonians.Comment: 14 page
Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model
We study a two-dimensional exactly solvable non-Hermitian non-symmetric
quantum model with real spectrum, which is not amenable to separation of
variables, by supersymmetrical methods. Here we focus attention on the property
of pseudo-Hermiticity, biorthogonal expansion and pseudo-metric operator. To
our knowledge this is the first time that pseudo-Hermiticity is realized
explicitly for a nontrivial two-dimensional case. It is shown that the
Hamiltonian of the model is not diagonalizable.Comment: 14 page
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