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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…
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…
Time-Dependent Hilbert Spaces, Geometric Phases, and General Covariance in Quantum Mechanics
Ali Mostafazadeh
We investigate consequences of allowing the Hilbert space of a quantum system to have a time-dependent metric. For a given possibly nonstationary quantum system, we show that the r…
Exact PT-Symmetry Is Equivalent to Hermiticity
Ali Mostafazadeh
We show that a quantum system possessing an exact antilinear symmetry, in particular PT-symmetry, is equivalent to a quantum system having a Hermitian Hamiltonian. We construct the…