Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2009-01-22
SIGMA 5 (2009), 009, 76 pages
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
10.3842/SIGMA.2009.009
The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematical tool to describe a symmetry of a collective submanifold in which a canonicity condition makes the collective variables to be an orthogonal coordinate-system. For this aim we adopt a concept of curvature unfamiliar in the conventional time-dependent (TD) self-consistent field (SCF) theory. Our basic idea lies in the introduction of a sort of Lagrange manner familiar to fluid dynamics to describe a collective coordinate-system. This manner enables us to take a one-form which is linearly composed of a TD SCF Hamiltonian and infinitesimal generators induced by collective variable differentials of a canonical transformation on a group. The integrability condition of the system read the curvature C=0. Our method is constructed manifesting itself the structure of the group under consideration. >...
Cordeiro Flavio
Komatsu Takao
Nishiyama Seiya
Providencia Constança
Providencia Joao da
No associations
LandOfFree
Self-Consistent-Field Method and $τ$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Self-Consistent-Field Method and $τ$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-Consistent-Field Method and $τ$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-189620