Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

B. Bagchi; C. Quesne

doi:10.1016/S0375-9601(02)00689-8

Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

数学物理 2011-07-19 v2 高能物理 - 理论 math.MP 量子物理

作者: B. Bagchi , C. Quesne

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摘要

We show that complex Lie algebras (in particular sl(2,C)) provide us with an elegant method for studying the transition from real to complex eigenvalues of a class of non-Hermitian Hamiltonians: complexified Scarf II, generalized P\"oschl-Teller, and Morse. The characterizations of these Hamiltonians under the so-called pseudo-Hermiticity are also discussed.

关键词

non-hermitian quantum mechanics lie algebras and representations integrable hamiltonian systems

引用

@article{arxiv.math-ph/0205002,
  title  = {Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework},
  author = {B. Bagchi and C. Quesne},
  journal= {arXiv preprint arXiv:math-ph/0205002},
  year   = {2011}
}

备注

LaTeX, 14 pages, no figure, 1 reference added

Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

摘要

关键词

引用

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