scholarly journals Prospects of the Nambu bracket

2016 ◽  
Vol 2016 (6) ◽  
pp. 06A105
Author(s):  
Kazuki Kiyoshige ◽  
Sanefumi Moriyama ◽  
Katsuya Yano
Keyword(s):  
Nambu Bracket

scholarly journals CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE

2009 ◽  
Vol 24 (25n26) ◽  
pp. 4769-4788 ◽  
Author(s):  
TEKİN DERELİ ◽  
ADNAN TEĞMEN ◽  
TUĞRUL HAKİOĞLU
Keyword(s):  
Phase Space ◽  
Canonical Transformation ◽  
Generating Functions ◽  
General Framework ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Canonical Transformations ◽  
Dimensional Phase Space ◽  
Nambu Bracket ◽  
Definition Of

Canonical transformation in a three-dimensional phase-space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is constructed based on canonoid transformations. It is shown that generating functions, transformed Hamilton functions and the transformation itself for given generating functions can be determined by solving Pfaffian differential equations corresponding to that quantities. Types of the generating functions are introduced and all of them are listed. Infinitesimal canonical transformations are also discussed. Finally, we show that the decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one.

scholarly journals Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier

2016 ◽  
Vol 8 (2) ◽  
pp. 169-178 ◽  
Author(s):  
Sebastián Ferrer ◽  
Francisco Javier Molero ◽  
Francisco Crespo
Keyword(s):  
Integrable Systems ◽  
Nambu Bracket

scholarly journals Nambu bracket for M theory

2010 ◽  
Vol 844 (1-4) ◽  
pp. 95c-108c ◽  
Author(s):  
Pei-Ming Ho
Keyword(s):  
Nambu Bracket ◽  
M Theory

scholarly journals A note on the quantum Nambu bracket

2000 ◽  
Vol 486 (1-2) ◽  
pp. 228-231 ◽  
Author(s):  
Chuan-Sheng Xiong
Keyword(s):  
Nambu Bracket

scholarly journals Notes on the Super Nambu Bracket

2003 ◽  
Vol 109 (3) ◽  
pp. 305-311 ◽  
Author(s):  
M. Sakakibara
Keyword(s):  
Nambu Bracket

scholarly journals A discrete Nambu bracket for 2D extended Magnetohydrodynamics

2019 ◽  
Vol 1391 ◽  
pp. 012037
Author(s):  
D A Kaltsas ◽  
M Kraus ◽  
G N Throumoulopoulos
Keyword(s):  
Nambu Bracket
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