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19962026
most citedPseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

1.7k citations

Showing 2004Show all

12 papers · 1 filter

quant-ph2004★ 126 cited

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…

cond-mat.stat-mech2004★ 15 cited

A scale-free network hidden in the collapsing polymer

A. Kabakcioglu, A. L. Stella

We show that the collapsed globular phase of a polymer accommodates a scale-free incompatibility graph of its contacts. The degree distribution of this network is found to decay wi…

quant-ph2004★ 305 cited

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…

quant-ph2004★ 31 cited

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…

hep-th2004★ 9 cited

Dualisation of the Salam-Sezgin D=8 Supergravity

Tekin Dereli, Nejat Tevfik Yilmaz

The first-order formulation of the Salam-Sezgin D=8 supergravity coupled to N vector multiplets is discussed. The non-linear realization of the bosonic sector of the D=8 matter cou…

physics.atom-ph2004★ 135 cited

Electromagnetically induced left-handedness in a dense gas of three level atoms

M. O. Oktel, Ö. E. Müstecaplıoğlu

We discuss how a three level system can be used to change the frequency dependent magnetic permeability of an atomic gas to be significantly different from one. We derive the condi…