It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one
that has a positive-definite spectrum and obeys the requirement of unitarity) must be …

We review the construction and use of complex potentials in reactive scattering and other
molecular collisions to calculate continuum quantities (such as state-to-state transition …

The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and
bounded below. Replacing this condition by the weaker condition of PT symmetry, one …

A physical realization of scattering by-symmetric potentials is provided: we show that the
Maxwell equations, for an electromagnetic wave travelling along a planar slab waveguide …

PT−symmetric harmonic oscillators - ScienceDirect Skip to main contentSkip to article Elsevier
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …

A new two-parameter family of quasi-exactly solvable quartic polynomial potentials is
introduced. Heretofore, it was believed that the lowest-degree one-dimensional quasi …

This paper demonstrates that complex P T-symmetric periodic potentials possess real band
spectra. However, there are significant qualitative differences in the band structure for these …

In recent papers it has been observed that non-Hermitian Hamiltonians, such as those
describing ig φ 3 and− g φ 4 field theories, still possess real positive spectra so long as the …

Below a (comparatively large) measure of non-hermiticity Z= Z0 (crit)> 0 of a PT
symmetrically complexified square well, bound states are constructed non-numerically. All …

4x2 ix 3, is performed using high-order Rayleigh–Schrödinger perturbation theory. The
energy spectrum of this Hamiltonian has recently been shown to be real using numerical …