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Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
Journal of Mathematical Physics · 2002 · Vol. 43(5) · pp. 2814–2816
Alí Mostafazadeh✉(Koç University)
Abstract
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hamiltonian admitting a complete set of biorthonormal eigenvectors.
Quantum Mechanics and Non-Hermitian PhysicsQuantum chaos and dynamical systemsAlgebraic and Geometric AnalysisHermitian matrixHamiltonian (control theory)Eigenvalues and eigenvectorsSpectrum (functional analysis)MathematicsMathematical physicsSymmetry (geometry)PhysicsQuantum mechanicsMathematical analysis
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References
𝓟𝓣-symmetric quantum mechanics
Journal of Mathematical Physics · 1999 · 1,310 citations
Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
Physical Review Letters · 1998 · 6,419 citations
Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
Journal of Mathematical Physics · 2002 · 1,603 citations
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