Mapping of the Sutherland Hamiltonian to anyons on a ring
نویسندگان
چکیده
It is demonstrated that the Sutherland Hamiltonian is equivalent to particles interacting with the vector statistical interaction on the rim of a circle, to within a nonsingular gauge transformation. PACS numbers: 05.45.+b, 03.65.Ge
منابع مشابه
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 ∗
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 consiste...
متن کامل*-σ-biderivations on *-rings
Bresar in 1993 proved that each biderivation on a noncommutative prime ring is a multiple of a commutatot. A result of it is a characterization of commuting additive mappings, because each commuting additive map give rise to a biderivation. Then in 1995, he investigated biderivations, generalized biderivations and sigma-biderivations on a prime ring and generalized the results of derivations fo...
متن کاملMappings to Realcompactifications
In this paper, we introduce and study a mapping from the collection of all intermediate rings of $C(X)$ to the collection of all realcompactifications of $X$ contained in $beta X$. By establishing the relations between this mapping and its converse, we give a different approach to the main statements of De et. al. Using these, we provide different answers to the four basic questions...
متن کاملاثر ثابت های جفت شدگی بین نزدیکترین همسایه ها درسیم وحلقه کوانتومی جفت شده
The electronic transport in an infinite arrays of driven quantum wells coupled to a quantum ring is studied via a single-band tunneling tight-biding Hamiltonian by perturbing and numerical simulations approaches. In the perturbing approach, an analytical relationship in terms of the coupling constants between nearest-neighbors in quantum wire coupled to a ring based on the quantum dynamical alg...
متن کاملThe Higgs Model for Anyons and Liouville Action: Chaotic Spectrum, Energy Gap and Exclusion Principle
Geodesic completness and self-adjointness imply that the Hamiltonian for anyons is the Laplacian with respect to the Weil-Petersson metric. This metric is complete on the DeligneMumford compactification of moduli (configuration) space. The structure of this compactification fixes the possible anyon configurations. This allows us to identify anyons with singularities (elliptic points with ramifi...
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 1994