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Abstract: All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$...
Abstract: The existence and stability of defect solitons in parity-time (PT) symmetric optical lattices with nonlocal nonlinearity are reported. Fundamental solitons are found in the semi-infinite gap...
Abstract: The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time (PT) symmetric Gaussian complex potentials are reported. Fundamental soliton...
The PT symmetric potential V0[cos(2x/a)+i sin(2x/a)] has a completely real spectrum for  ≤ 1, and begins to develop complex eigenvalues for  > 1. At the symmetry-breaking threshold  = 1 some of...
Suppose that a system is known to be in one of two quantum states, $|\psi_1 > $ or $|\psi_2 >$. If these states are not orthogonal, then in conventional quantum mechanics it is impossible with one mea...
Dynamical systems exhibiting both PT and Supersymmetry are analyzed in a general scenario. It is found that, in an appropriate parameter domain, the ground state may or may not respect PT-symmetry. In...
show how the band structure and beam dynamics of non-Hermitian PT-symmetric sinusoidal optical lattices can be approached from the point of view of the equivalent Hermitian problem, obtained by an ana...
The observation that PT-symmetric Hamiltonians can have real-valued energy levels even if they are non-hermitian has triggered intense activities, with experiments in particular focusing on optical sy...
The $(3 + 1)$-dimensional (generalized) Dirac equation is shown to have the same form as the equation expressing the condition that a given point lies on a given line in 3-dimensional projective space...

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