This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive ...

""An ambitious historical epic that doubles as an intimate family saga. Jessica Shattuck captures and connects it all—the imperial ambitions of the postwar generation, the rebellion of their offspring in the Sixties, and the fallout we’re still sifting through today. . . . This is a wide-ranging novel to savor.” — TOM PERROTTAFrom the New York Times bestselling author of The Women in the Castle comes a sweeping story of a ...

Granular systems arise in a variety of geological and industrial settings, from landslides, avalanches, and erosion to agricultural grains and pharmaceutical powders. Understanding the underlying physics that governs their behavior is the key to developing effective handling and transport mechanisms as well as appropriate environmental policies.Han