Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach

Details Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach

2002-09-16

arxiv.org/abs/math-ph/0209031v1

GROUP24 (IPP, Bristol, 2003) pp. 589-592

Physics

Mathematical Physics

6 pages, LaTeX, communication to Group24 (Paris)

Scientific paper

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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