English

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

Mathematical Physics 2007-05-23 v1 High Energy Physics - Theory math.MP Quantum Physics

Abstract

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 A1_1.

Keywords

Cite

@article{arxiv.math-ph/0209031,
  title  = {Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach},
  author = {B. Bagchi and C. Quesne},
  journal= {arXiv preprint arXiv:math-ph/0209031},
  year   = {2007}
}

Comments

6 pages, LaTeX, communication to Group24 (Paris)

R2 v1 2026-07-22T16:21:52.544Z