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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…
Wave Function of the Universe and Its Meaning
Ali Mostafazadeh
For a FRW-spacetime coupled to an arbitrary real scalar field, we endow the solution space of the associated Wheeler-DeWitt equation with a Hilbert-space structure, construct the o…
Is Pseudo-Hermitian Quantum Mechanics an Indefinite-Metric Quantum Theory?
Ali Mostafazadeh
With a view to eliminate an important misconception in some recent publications, we give a brief review of the notion of a pseudo-Hermitian operator, outline pseudo-Hermitian quant…
A Physical Realization of the Generalized PT-, C-, and CPT-Symmetries and the Position Operator for Klein-Gordon Fields
Ali Mostafazadeh
Generalized parity (P), time-reversal (T), and charge-conjugation (C)operators were initially definedin the study of the pseudo-Hermitian Hamiltonians. We construct a concrete real…