.png){kind=icon}
返回
Dirac-bracket structure in multidimensional mode conversion
.png){kind=icon}
PRE
AI
DOI：10.1016/j.cnsns.2011.05.013.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The intersection of two (2n - 1)-dimensional dispersion manifolds D(a) and D(b) in the 2n-dimensional ray phase space P yields a (2n - 2)-dimensional conversion manifold M D(a) boolean AND D(b) that naturally possesses a Dirac-bracket structure that is inherited from the canonical Poisson bracket on ray phase space. The canonical symplectic two-form Omega Omega(parallel to) + Omega(perpendicular to), defined on the 2n-dimensional tangent plane T(z0)P T(z0)M circle plus (T(z0)M)_, can thus be decomposed into the Dirac two-form Omega(parallel to) on the (2n - 2)-dimensional tangent plane T(z0)M at a conversion point z(0) is an element of M. and the symplectic two-form Omega(perpendicular to) on its orthogonal 2-dimensional complement (T(z0)M)(perpendicular to). These two symplectic two-forms are introduced in our analysis of multidimensional mode conversion, where their respective geometrical roles are defined. We note that since the Dirac-bracket structure Omega(parallel to) vanishes identically when n = 1, it represents a new structure in multidimensional (n > 1) mode conversion theory. (C) 2011 Elsevier B.V. All rights reserved.
Keyword:
Dirac-bracket structure
Mode conversion
期刊
IF:
3.8
论文数:
9.3K
被引数:
1.8W
机构
引用论文
分享收藏Mycobacterium tuberculosis as cause of therapeutic failure in prosthetic joint infections结核分枝杆菌作为假体关节感染中治疗失败的原因
PREAI
分享收藏Development and validation of RP-LC and uv spectrophotometric methods to assay bromopride in oral and injectable solutions.png)
Química Nova
OAAI
Química NovaIF0
OAAI分享收藏
查看更多内容