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4 papers · 2 filters
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…
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…
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…