Symmetric Lie algebras of non-linear transformations of conformal type in quantum mechanics
Journal Article
·
· Int. J. Theor. Phys., v. 7, no. 5, pp. 379-388
The Koecher construction of simple symmetric Lie algebras is used to realize colineation and conformal Lle algebras of nonlinear transformations of a pseudo-orthogonal vector space in the canonical Weyl algebras, which are used in the Schroedinger representation. The realization maps the linear sub-algebras onto symmetrized polynomials of second degree, whereas the nonlinear parts are mapped onto polynomials of flrst and third degree. For the two examples the Meyberg Jordan algebras are explicitly given. (auth)
- Research Organization:
- Univ., Marburg, Ger.
- NSA Number:
- NSA-29-001490
- OSTI ID:
- 4388996
- Journal Information:
- Int. J. Theor. Phys., v. 7, no. 5, pp. 379-388, Other Information: Orig. Receipt Date: 30-JUN-74; Bib. Info. Source: UK (United Kingdom (sent to DOE from))
- Country of Publication:
- United Kingdom
- Language:
- English
Similar Records
The Centrally Extended Heisenberg Algebra and Its Connection with the Schroedinger, Galilei and Renormalized Higher Powers of Quantum White Noise Lie Algebras
Boson realizations of Lie algebras with applications to nuclear physics
Semiclassical states on Lie algebras
Journal Article
·
Thu Jun 17 00:00:00 EDT 2010
· AIP Conference Proceedings
·
OSTI ID:4388996
Boson realizations of Lie algebras with applications to nuclear physics
Journal Article
·
Mon Apr 01 00:00:00 EST 1991
· Reviews of Modern Physics; (USA)
·
OSTI ID:4388996
Semiclassical states on Lie algebras
Journal Article
·
Sun Mar 15 00:00:00 EDT 2015
· Journal of Mathematical Physics
·
OSTI ID:4388996