CLASSICAL AND QUANTUM SYMMETRIES REDUCTION AND INTEGRABILITY

被引：2

作者：

Marmo, Giuseppe ^{[1
]}

Sparano, Giovanni ^{[2
]}

Vilasi, Gaetano ^{[3
]}

机构：

[1] Univ Napoli, Ist Nazl Fis Nucl, Dipartimento Sci Fis, I-80126 Naples, Italy

[2] Univ Salerno, Ist Nazl Fis Nucl, Dipartimento Matemat, I-84084 Fisciano, Italy

[3] Univ Salerno, Ist Nazl Fis Nucl, Dipartimento Fis, I-84084 Fisciano, Italy

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2013年 / 31卷

关键词：

D O I：

10.7546/jgsp-31-2013-105-117

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Completely integrable systems always admit more alternative Hamiltonian descriptions. The geometrical formulation of quantum systems shows that similar conclusions hold true also for quantum systems. In addition, the description of quantum systems on Hilbert manifolds, e.g., the complex projective space, shows that not only quantum systems admit alternative Hamiltonian descriptions, they also admit alternative linear descriptions.

引用

页码：105 / 117

页数：13

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