TY - JOUR
T1 - The Quantum Calogero-Moser Model
T2 - Algebraic Structures
AU - Ujino, Hideaki
AU - Wadati, Miki
AU - Hikami, Kazuhiro
PY - 1993
Y1 - 1993
N2 - For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from its Lax operator. We prove that each conserved operator satisfies both the Lax equation and a remarkable relation named additional relation. From these knowledge, we show that the conserved operators are involutive. Moreover, the conserved operators and the boost operators constitute the U(l)-current algebra. All the proofs are simplified a great deal due to the Lax equations and additional relations.
AB - For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from its Lax operator. We prove that each conserved operator satisfies both the Lax equation and a remarkable relation named additional relation. From these knowledge, we show that the conserved operators are involutive. Moreover, the conserved operators and the boost operators constitute the U(l)-current algebra. All the proofs are simplified a great deal due to the Lax equations and additional relations.
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U2 - 10.1143/JPSJ.62.3035
DO - 10.1143/JPSJ.62.3035
M3 - Article
AN - SCOPUS:0042065840
SN - 0031-9015
VL - 62
SP - 3035
EP - 3043
JO - journal of the physical society of japan
JF - journal of the physical society of japan
IS - 9
ER -