Lie-admissible deformation of self-adjoint systems
Journal Article
·
· Hadronic J.; (United States)
OSTI ID:6556188
The construction of Lie-admissible deformations of self-adjoint systems, subject to supplementary symmetry constraints, is attempted in a step by step procedure. An abstraction of dynamical systems, namely that of a system of paths, is initially introduced and the concepts of a self-adjoint description and of a Lie-admissible one are subsequently elaborated. The symmetry groups G/sub (a)/ which characterize the system are introduced in a way independent of the self-adjoint or essentially non self-adjoint character of the particular dynamical system under consideration. Finally a prescription for the explicit construction is suggested. This prescription is further used for the construction of various Lie-admissible deformations of the harmonic oscillator. The possibility of using this method for the construction of a Lie-admissible deformation of a gauge-theory is also briefly discussed and a way of doing this is conjectured.
- Research Organization:
- Univ. of Sussex, Brighton, England
- OSTI ID:
- 6556188
- Journal Information:
- Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 3:4; ISSN HAJOD
- Country of Publication:
- United States
- Language:
- English
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