9 citations · 17 across the 7 of their papers we have counts for
13 papers
Pseudo-Hermitian Description of PT-Symmetric Systems Defined on a Complex Contour
Ali Mostafazadeh
We describe a method that allows for a practical application of the theory of pseudo-Hermitian operators to PT-symmetric systems defined on a complex contour. We apply this method…
Comment on Complex Extension of Quantum Mechanics
Ali Mostafazadeh
In their Erratum [Phys. Rev. Lett. {\bf 92}, 119902 (2004), quant-ph/0208076], written in reaction to [quant-ph/0310164], Bender, Brody and Jones propose a revised definition for a…
Classical and Quantum Fermions Linked by an Algebraic Deformation
Ali Mostafazadeh
We study the regular representation of the single-fermion algebra , i.e., , , for . We show that is a four-dimensio…
Conserved Current Densities, Localization Probabilities, and a New Global Gauge Symmetry of Klein-Gordon Fields
A. Mostafazadeh, F. Zamani
For free Klein-Gordon fields, we construct a one-parameter family of conserved current densities , with , and use the latter to yield a manifestly covariant expr…
A Critique of PT-Symmetric Quantum Mechanics
Ali Mostafazadeh
We study the physical content of the PT-symmetric complex extension of quantum mechanics as proposed in Bender et al, Phys. Rev. Lett. 80, 5243 (1998) and 89, 270401 (2002), and sh…
Z_n-Graded Topological Generalizations of Supersymmetry and Orthofermion Algebra
Ali Mostafazadeh
We review various generalizations of supersymmetry and discuss their relationship. In particular, we show how supersymmetry, parasupersymmetry, fractional supersymmetry, orthosuper…