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    Scientists / Open questions

    迈克尔·贝里

    Michael V. Berry

    几何相位、半经典物理、波动光学

    14 个问题

    1. Localization exponents of randomly layered media beyond the strong random-phase, normal-incidence regime (the transparent-mirror problem)

    2. The physical interpretation of the Aharonov–Bohm effect: action of the vector potential versus local accessible fields

    3. Inversion problem for transitionless quantum driving: determining the base Hamiltonian whose instantaneous eigenstates are the exact evolving states of a given Hamiltonian

    4. Convergence of the scar series for the unsmoothed spectral Wigner function of a classically chaotic system (Berry, 1989)

    5. Completing the closed-orbit (topological-sum) representation of regular bound spectra: uniform approximations beyond two degrees of freedom, K = 0 coalescences, and convergence of the orbit sum

    6. The dislocation cobweb: a complete statistical, topological and dynamical theory of the three-dimensional tangle of wavefront-dislocation lines, and the existence of multiple edge dislocations

    7. Validity domain of the anti-unitary symmetry classification of energy-level statistics: non-generic individual systems and energy-dependent classical dynamics

    8. Classification of caustics of infinite co-dimension: the glory, the forward diffraction peak, and source-point caustics

    9. Experimental observation and systematic exploration of the polarization singularities of birefringent dichroic chiral crystals

    10. The Berry–Balazs transition of the semiclassical Wigner function: rigorous transition time and post-transition morphology for whorl-forming (stable) classical motion

    11. Pseudointegrable systems: nonintegrability, ergodicity, and quantum spectral theory of rational polygonal billiards (open problems from Richens and Berry, 1981)

    12. Berry's 1981 Appendix I conjecture: suppression of level-density oscillations by fractal billiard boundaries

    13. Rigorous foundations of the Berry–Robnik level-spacing statistics for quantum systems with mixed regular–chaotic classical dynamics

    14. Stability and viability of quasi-supersymmetric (Q-SUSY) intersecting D-brane models: uncancelled NS-NS tadpoles, background redefinition, and the Planck-scale hierarchy in toroidal orientifolds

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