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PT-Symmetric Cubic Anharmonic Oscillator as a Physical Model
Ali Mostafazadeh
We perform a perturbative calculation of the physical observables, in particular pseudo-Hermitian position and momentum operators, the equivalent Hermitian Hamiltonian operator, an…
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…
Physical Aspects of Pseudo-Hermitian and -Symmetric Quantum Mechanics
Ali Mostafazadeh, Ahmet Batal
For a non-Hermitian Hamiltonian H possessing a real spectrum, we introduce a canonical orthonormal basis in which a previously introduced unitary mapping of H to a Hermitian Hamilt…
PT-Symmetric Quantum Mechanics: A Precise and Consistent Formulation
Ali Mostafazadeh
The physical condition that the expectation values of physical observables are real quantities is used to give a precise formulation of PT-symmetric quantum mechanics. A mathematic…
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…
Statistical Origin of Pseudo-Hermitian Supersymmetry and Pseudo-Hermitian Fermions
Ali Mostafazadeh
We show that the metric operator for a pseudo-supersymmetric Hamiltonian that has at least one negative real eigenvalue is necessarily indefinite. We introduce pseudo-Hermitian fer…