CLASSICAL TENSORS FROM QUANTUM STATES

被引:6
作者
Aniello, P. [1 ,2 ]
Marmo, G.
Volkert, G. F.
机构
[1] Univ Naples Federico 2, Dipartimento Sci Fis, Ist Nazl Fis Nucl, I-80126 Naples, Italy
[2] Univ Naples Federico 2, Fac Sc Biotecnol, Dip Sc Fis, I-80126 Naples, Italy
关键词
Geometric quantum mechanics; Kahlermanifold; coherent states; BI-HAMILTONIAN SYSTEMS; COHERENT STATES; RIEMANNIAN STRUCTURE; PURE STATES; MECHANICS; OPERATORS; REPRESENTATIONS; ALGEBRA;
D O I
10.1142/S0219887809003576
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute these tensors in particular for Manifolds admitting a Lie-Group structure.
引用
收藏
页码:369 / 383
页数:15
相关论文
共 49 条
[1]   PURE STATES OF GENERAL QUANTUM-MECHANICAL SYSTEMS AS KAHLER BUNDLES [J].
ABBATI, MC ;
CIRELLI, R ;
LANZAVECCHIA, P ;
MANIA, A .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1984, 83 (01) :43-60
[2]   The distance between classical and quantum systems [J].
Abernethy, D ;
Klauder, J .
FOUNDATIONS OF PHYSICS, 2005, 35 (05) :881-895
[3]   On the coherent states, displacement operators and quasidistributions associated with deformed quantum oscillators [J].
Aniello, P ;
Man'ko, V ;
Marmo, G ;
Solimeno, S ;
Zaccaria, F .
JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2000, 2 (06) :718-725
[4]  
[Anonymous], 2004, From Classical to Quantum Mechanics
[5]  
[Anonymous], PRINCIPLES QUANTUM M
[6]  
[Anonymous], 1931, DISQUES MAY
[7]  
[Anonymous], 1985, Dynamical Systems: A Differential Geometric Approach to Symmetry and Reduction
[8]   ATOMIC COHERENT STATES IN QUANTUM OPTICS [J].
ARECCHI, FT ;
THOMAS, H ;
GILMORE, R ;
COURTENS, E .
PHYSICAL REVIEW A, 1972, 6 (06) :2211-&
[9]  
ARNOLD VI, 1976, METHODES MATH MECNAI
[10]  
ASHTEKAR A, 1998, EINSTEINS PATH