Classical and quantum-mechanical systems of Toda lattice type. I
Classical and quantum-mechanical systems of Toda lattice type. I
复制标题
Toda 晶格类型的经典和量子力学系统。
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
N. Wallach
中科院分区：
文献类型：
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作者：
R. Goodman;N. Wallach
拉普拉斯算子在某些广义“ax +B”群的包络和“泊松代数”中的交换子的结构导致（在本文中）确定广义周期和非周期户田格的经典和量子力学第一积分。某些新的哈密顿系统的户田格型也适合在这个框架。推广了Flaschke的结果，给出了（周期）户田格的有限维Lax形式.
The structure of the commutant of Laplace operators in the enveloping and “Poisson algebra” of certain generalized “ax +b” groups leads (in this article) to a determination of classical and quantum mechanical first integrals to generalized periodic and non-periodic Toda lattices. Certain new Hamiltonian systems of Toda lattice type are also shown to fit in this framework. Finite dimensional Lax forms for the (periodic) Toda lattices are given generalizing results of Flaschke.