Bender-Dunne polynomials are a family of orthogonal polynomials that arise in the context of quantum mechanics and mathematical physics. They were introduced by the physicists Carl M. Bender and Peter D. Dunne in their study of non-Hermitian quantum mechanics, which has applications in various fields, including quantum field theory and statistical mechanics. The Bender-Dunne polynomials are particularly notable for their properties in relation to the eigenvalues of certain non-Hermitian Hamiltonians.
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