Fractional Quantum Hall Effect States as Exact Ground States
نویسندگان
چکیده
We construct many particle Hamiltonians for which the Laughlin and Jain wavefunctions are exact ground states. The Hamiltonians involve fermions in a magnetic field and with inter-particle interactions. For the Laughlin wave-functions and unprojected Jain wave-functions, the interactions involve twoand three-body correlations similar to the Chern-Simons interactions, whereas for the projected Jain wave-functions, N -body interactions (which cannot be explicitly written down in general) are involved.
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