Quantum chaos in one dimension?

Details Quantum chaos in one dimension? Quantum chaos in one dimension?

2011-03-02

arxiv.org/abs/1103.0433v3

Phys. Rev. E 84, 016230 (2011)

Nonlinear Sciences

Chaotic Dynamics

7 pages, 10 figures, minor correction, references extended

Scientific paper

10.1103/PhysRevE.84.016230

In this work we investigate the inverse of the celebrated Bohigas-Giannoni-Schmit conjecture. Using two inversion methods we compute a one-dimensional potential whose lowest N eigenvalues obey random matrix statistics. Our numerical results indicate that in the asymptotic limit, N->infinity, the solution is nowhere differentiable and most probably nowhere continuous. Thus such a counterexample does not exist.

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