Quantum groups and generalized statistics in integrable models
نویسندگان
چکیده
منابع مشابه
Integrable Systems and Quantum Groups
The main purpose of this lecture is to present the study of quantum integrable systems and its interplay with the study of quantum groups. The history of quantum integrable systems begins, following a certain historical path, with the rst attempts of W. Heisenberg to develop a microscopic theory that could explain ferromagnetism [1]. Later on a method was proposed by H. Bethe [2] in order to ob...
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Many q-differential operators arise in the study of q-special functions, Casimir operators, quantum groups, and representation theory. There are also natural origins via quantum integrable systems and the quantization of classical integrable systems. The latter is often expressed via a q-hierarchy picture akin to the standard Hirota–Lax–Sato formulation and this has many canonical aspects. On t...
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The repartition of the separation between energy levels of various isotropic S=1/2 antiferromagnetic chains is studied numerically with the aim of investigating the transition from integrable to non-integrable systems. We begin by displaying the level separation distribution of the integrable Bethe chain. Then two non-integrable systems, two coupled chains and a next-nearest-neighbor coupled ch...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1990
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02096656