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quant-ph2019
Making sense of the divergent series for reconstructing a Hamiltonian from its eigenstates and eigenvalues
Carl M. Bender, Dorje C. Brody, Matthew F. Parry
In quantum mechanics the eigenstates of the Hamiltonian form a complete basis. However, physicists conventionally express completeness as a formal sum over the eigenstates, and thi…
math-ph2019
Nonlinear eigenvalue problems for generalized Painlevé equations
Carl M. Bender, Javad Komijani, Qing-hai Wang
Eigenvalue problems for linear differential equations, such as time-independent Schrödinger equations, can be generalized to eigenvalue problems for nonlinear differential equation…