Alternative structures and bi-Hamiltonian systems

被引：23

作者：

Marmo, G

Morandi, G

Simoni, A

Ventriglia, F

机构：

[1] Univ Naples Federico II, Dipartimento Sci Fis, Naples, Italy

[2] Univ Bologna, Dipartimento Fis, INFM, I-40127 Bologna, Italy

[3] Ist Nazl Fis Nucl, I-40127 Bologna, Italy

[4] Ist Nazl Fis Nucl, Sez Napoli, I-80125 Naples, Italy

[5] INFM, UdR Napoli, Naples, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 40期

关键词：

D O I：

10.1088/0305-4470/35/40/303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the study of bi-Hamiltonian systems (both classical and quantum) one starts with a given dynamics and looks for all alternative Hamiltonian descriptions it admits. In this paper, we start with two compatible Hermitian structures (the quantum analogue of two compatible classical Poisson brackets) and look for all the dynamical systems which turn out to be bi-Hamiltonian with respect to them.

引用

页码：8393 / 8406

页数：14

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