Harmonics on hyperspheres, separation of variables and the bethe ansatz
نویسندگان
چکیده
منابع مشابه
ON THE NEW FORM OF BETHE ANSATZ EQUATIONS AND SEPARATION OF VARIABLES IN THE sl3 GAUDIN MODEL
A new form of Bethe ansatz equations is introduced. A version of a separation of variables for the quantum sl3 Gaudin model is presented.
متن کاملHirota Equation and Bethe Ansatz
The paper is a review of recent works devoted to analysis of classical integrable structures in quantum integrable models solved by one or another version of the Bethe ansatz. Similarities between elements of the quantum and classical theories of integrable systems are discussed. Some key notions of the quantum theory, now standard in the quantum inverse scattering method, are identiied with ty...
متن کاملBethe Ansatz and Quantum Groups
Laboratoire Associé au CNRS UA 280 § mail address: L.P.T.H.E., Tour 16 1er étage, Université Paris VI, 4 Place Jussieu, 75252, Paris cedex 05, France
متن کاملAlgebraic Aspects of Bethe - Ansatz
In these lectures the introduction to algebraic aspects of Bethe Ansatz is given. The applications to the seminal spin 1/2 XXX model is discussed in detail and the generalization to higher spin as well as XXZ and lattice Sine-Gordon model are indicated. The origin of quantum groups and their appearance in CFT models is explained. The text can be considered as a guide to the research papers in t...
متن کاملDiscrete Thermodynamic Bethe Ansatz
We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N -body CalogeroMoser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic description of harmonically trapped Bose-Eins...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 1995
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00750812