138 citations · 592 across the 13 of their papers we have counts for
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math-ph2014
Complex classical motion in potentials with poles and turning points
Carl M. Bender, Daniel W. Hook
Complex trajectories for Hamiltonians of the form H=p^n+V(x) are studied. For n=2 time-reversal symmetry prevents trajectories from crossing. However, for n>2 trajectories may inde…
math-ph2014★ 9 cited
Nonlinear eigenvalue problems
Carl M. Bender, Andreas Fring, Javad Komijani
This paper presents a detailed asymptotic study of the nonlinear differential equation y'(x)=\cos[πxy(x)] subject to the initial condition y(0)=a. Although the differential equatio…
math-ph2006★ 5 cited
Nonlinear Integral-Equation Formulation of Orthogonal Polynomials
Carl M. Bender, E. Ben-Naim
The nonlinear integral equation P(x)=\int_alpha^beta dy w(y) P(y) P(x+y) is investigated. It is shown that for a given function w(x) the equation admits an infinite set of polynomi…