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On the eigenvalues and dynamics of non-Hermitian \(PT\) symmetric Hamiltonians in finite basis spaces

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Publication:5950398
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DOI10.1016/S0375-9601(01)00718-6zbMath0983.81015MaRDI QIDQ5950398

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Publication date: 11 December 2001

Published in: Physics Letters. A (Search for Journal in Brave)


zbMATH Keywords

analytical and numerical estimatesevolution dynamicsfinite-dimensional Hilbert-space subspacesharmonic oscillator Hamiltonian


Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)


Related Items

Exact polynomial solution of \({\mathcal P}{\mathcal T}\)/Non-\({\mathcal P}{\mathcal T}\)-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method ⋮ REAL SPECTRUM OF NON-HERMITIAN HAMILTONIANS FOR HULTHÉN POTENTIAL ⋮ Time-dependent PT symmetric problems



Cites Work

  • A PT-invariant potential with complex QES eigenvalues
  • \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
  • 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
  • 𝓟𝓣-symmetric quantum mechanics
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