Many Body Physics of Cold Atomic Gases

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This proposal describes a theoretical study of important problems in the many bodyphysics of cold atoms and related systems. Building on previous work, the investigatorwill explore several topical subjects, including (1) properties of a Fermi gas near aFeshbach resonance; (2) spectra of atomic hydrogen on Helium surfaces andembedded in a molecular hydrogen matrix; and (3)dynamics of tuning the interactionstrength for atoms trapped in a strong optical lattice. These projects are motivated by (i)interest in fundamental physical properties of cold atoms, (ii) desires to use cold atomsas a model system to understand other many body systems, and (iii) puzzles found inongoing experiments. Studying cold atoms has impact on many body problems incondensed matter and nuclear physics.