Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
|
|
| Creator |
Batlle, C.
Gomis, J. Kamimura, K. |
|
| Description |
We study all the symmetries of the free Schrödinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schrödinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.
|
|
| Date |
2019-02-11T17:07:27Z
2019-02-11T17:07:27Z 2014 |
|
| Type |
Article
|
|
| Identifier |
Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane / C. Batlle, J. Gomis, K.Kamimura // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81R60; 81S05; 83C65 DOI:10.3842/SIGMA.2014.011 http://dspace.nbuv.gov.ua/handle/123456789/146844 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|