Null lifts and projective dynamics
Journal Article
·
· Annals of Physics
We describe natural Hamiltonian systems using projective geometry. The null lift procedure endows the tangent bundle with a projective structure where the null Hamiltonian is identified with a projective conic and induces a Weyl geometry. Projective transformations generate a set of known and new dualities between Hamiltonian systems, as for example the phenomenon of coupling-constant metamorphosis. We conclude outlining how this construction can be extended to the quantum case for Eisenhart–Duval lifts.
- OSTI ID:
- 22560262
- Journal Information:
- Annals of Physics, Vol. 362, Issue Complete; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
Similar Records
Conformal killing tensors and covariant Hamiltonian dynamics
Generalised Eisenhart lift of the Toda chain
Comparison and optimization of lift and drag forces on vehicles levitated by eddy current repulsion for various null and normal flux magnets with one or two tracks
Journal Article
·
Mon Dec 15 00:00:00 EST 2014
· Journal of Mathematical Physics
·
OSTI ID:22560262
Generalised Eisenhart lift of the Toda chain
Journal Article
·
Sat Feb 15 00:00:00 EST 2014
· Journal of Mathematical Physics
·
OSTI ID:22560262
Comparison and optimization of lift and drag forces on vehicles levitated by eddy current repulsion for various null and normal flux magnets with one or two tracks
Conference
·
Sat Mar 01 00:00:00 EDT 1975
· IEEE Trans. Magn., v. MAG-11, no. 2, pp. 604-607
·
OSTI ID:22560262