(For their outstanding contributions to the field of the surface science in general, and for their elucidation of fundamental mechanisms of heterogeneous catalytic reactions at single crystal surfaces in particular.)
(For the discovery of quantum topological and geometrical phases, specifically the Aharonov-Bohm effect, the Berry phase, and their incorporation into many fields of physics.)
(For the discovery of quantum topological and geometrical phases, specifically the Aharonov-Bohm effect, the Berry phase, and their incorporation into many fields of physics.)
