ar X iv : h ep - t h / 95 12 05 1 v 1 8 D ec 1 99 5 Additional analytically exact solutions for three - anyons ∗
نویسنده
چکیده
We present new family of exact analytic solutions for three anyons in a harmonic potential (or in free space) in terms of generalized harmonics on S 3 , which supplement the known solutions. The new solutions satisfy the hard-core condition when α = 1 3 , 1 (α being the statistical parameter) but otherwise, have finite non-vanishing two-particle colliding probability density , which is consistent with self-adjointness of the Hamiltonian. These solutions , however, do not have one-to-one mapping property between bosonic and fermionic spectra.
منابع مشابه
ar X iv : h ep - t h / 94 12 02 2 v 1 2 D ec 1 99 4 Interacting anyons and the Darwin Lagrangian
We propose a new model for interacting (electrically charged) anyons, where the 2+1-dimensional Darwin term is responsible for interactions. The Hamiltonian is comparable with the one used previously (in the RPA calculation).
متن کاملar X iv : h ep - p h / 99 12 28 8 v 2 1 5 D ec 1 99 9 Lattice Calculations and Hadron Physics
متن کامل
ar X iv : h ep - t h / 94 12 15 6 v 1 1 8 D ec 1 99 4 Quantal Overlapping Resonance Criterion : the Pullen Edmonds Model
متن کامل
ar X iv : h ep - t h / 92 12 05 2 v 1 8 D ec 1 99 2 TRIPLE PRODUCTS AND YANG – BAXTER EQUATION ( II ) : ORTHOGONAL AND SYMPLECTIC TERNARY SYSTEMS
We generalize the result of the preceeding paper and solve the Yang–Baxter equation in terms of triple systems called orthogonal and symplectic ternary systems. In this way, we found several other new solutions. PAC: 03.65Fd. 02.90.+p
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1995