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19 papers · 1 filter
Inverted Berezinskii-Kosterlitz-Thouless Singularity and High-Temperature Algebraic Order in an Ising Model on a Scale-Free Hierarchical-Lattice Small-World Network
Michael Hinczewski, A. Nihat Berker
We have obtained exact results for the Ising model on a hierarchical lattice with a scale-free degree distribution, high clustering coefficient, and small-world behavior. By varyin…
On the SU(3) parametrization of qutrits
A. T. Bolukbasi, T. Dereli
Parametrization of qutrits on the complex projective plane CP^2 = SU(3)/U(2) is given explicitly. A set of constraints that characterize mixed state density matrices is found.
Finite size effects in the dynamics and thermodynamics of 2D Coulomb clusters
E. Yurtsever, F. Calvo, D. J. Wales
The dynamics and thermodynamics of melting in two-dimensional Coulomb clusters is revisited using molecular dynamics and Monte Carlo simulations. Several parameters are considered,…
Explicit horizontal open books on some plumbings
Tolga Etgü, Burak Ozbagci
We describe explicit open books on arbitrary plumbings of oriented circle bundles over closed oriented surfaces. We show that, for a non-positive plumbing, the open book we constru…
Pseudo-Hermiticity, PT-symmetry, and the Metric Operator
Ali Mostafazadeh
The main achievements of Pseudo-Hermitian Quantum Mechanics and its distinction with the indefinite-metric quantum theories are reviewed. The issue of the non-uniqueness of the met…
Metric Operator in Pseudo-Hermitian Quantum Mechanics and the Imaginary Cubic Potential
Ali Mostafazadeh
We present a systematic perturbative construction of the most general metric operator (and positive-definite inner product) for quasi-Hermitian Hamiltonians of the standard form, H…