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Stefan Boettcher
Researcher at Emory University
Publications - 198
Citations - 11289
Stefan Boettcher is an academic researcher from Emory University. The author has contributed to research in topics: Spin glass & Extremal optimization. The author has an hindex of 33, co-authored 194 publications receiving 9750 citations. Previous affiliations of Stefan Boettcher include Technion – Israel Institute of Technology & Los Alamos National Laboratory.
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Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
TL;DR: The condition of self-adjointness as discussed by the authors ensures that the eigenvalues of a Hamiltonian are real and bounded below, replacing this condition by the weaker condition of $\mathrm{PT}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive.
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PT-symmetric quantum mechanics
TL;DR: In this paper, the authors proposed a generalization of Hermiticity for complex deformation H =p2+x2(ix)e of the harmonic oscillator Hamiltonian, where e is a real parameter.
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Optimization with extremal dynamics.
Stefan Boettcher,Allon G. Percus +1 more
TL;DR: This work uses extremal optimization to elucidate the phase transition in the 3-coloring problem, and provides independent confirmation of previously reported extrapolations for the ground-state energy of +/-J spin glasses in d = 3 and 4.
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Nature's way of optimizing
Stefan Boettcher,Allon G. Percus +1 more
TL;DR: In this article, Extremal Optimization is proposed to find high-quality solutions to hard optimization problems, inspired by self-organizing processes often found in nature, successively eliminating extremely undesirable components of sub-optimal solutions.
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Quasi-exactly solvable quartic potential
Carl M. Bender,Stefan Boettcher +1 more
TL;DR: In this paper, a new two-parameter family of quasi-exactly solvable quartic polynomial potentials is introduced, whose spectra are real, discrete, and bounded below.