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Imaginary-Scaling versus Indefinite-Metric Quantization of the Pais-Uhlenbeck Oscillator
Ali Mostafazadeh
Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe th…
A Hamiltonian Formulation of the Pais-Uhlenbeck Oscillator that Yields a Stable and Unitary Quantum System
Ali Mostafazadeh
We offer a new Hamiltonian formulation of the classical Pais-Uhlenbeck Oscillator and consider its canonical quantization. We show that for the non-degenerate case where the freque…
Comment on ``PT-Symmetric versus Hermitian Formulations of Quantum Mechanics [hep-th/0511229]''
Ali Mostafazadeh
We explain why the main conclusion of Bender et al, hep-th/0511229 [J. Phys. A 39 (2006) 1657] regarding the practical superiority of the non-Hermitian description of PT-symmetric…
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…
On a Z_3-Graded Generalization of the Witten Index
Ali Mostafazadeh
We construct a realization of the algebra of the Z_3-graded topological symmetry of type (1,1,1) in terms of a pair of operators D_1: H_1 -> H_2, and D_2: H_2 -> H_3 satisfying [D_…
On the Statistical Origin of Topological Symmetries
K. Aghababaei Samani, A. Mostafazadeh
We investigate a quantum system possessing a parasupersymmetry of order 2, an orthosupersymmetry of order , a fractional supersymmetry of order , and topological symmetries…