Novel correlations in two dimensions: Two-body problem
نویسندگان
چکیده
منابع مشابه
Novel correlations in two dimensions: Two-body problem
We discuss a many-body Hamiltonian with twoand three-body interactions in two dimensions introduced recently by Murthy, Bhaduri and Sen. Apart from an analysis of some exact solutions in the many-body system, we analyze in detail the two-body problem which is completely solvable. We show that the solution of the two-body problem reduces to solving a known differential equation due to Heun. We s...
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We construct a new many-body Hamiltonian with twoand three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the CalogeroSutherland model in one di...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1997
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/30/7/032