Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach
classification
🧮 math-ph
hep-thmath.MPquant-ph
keywords
complexhamiltoniansnon-hermitianeigenvaluesrealalgebraalgebrasapproach
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Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for a class of non-Hermitian Hamiltonians associated with the complex Lie algebra A$_1$.
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