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Symmetries of the Free Schrodinger Equation in the Non-Commutative Plane
dc.contributor.author | Batlle Arnau, Carles |
dc.contributor.author | Gomis, Jaoquim |
dc.contributor.author | Kamimura, kiyoshi |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2014-07-02T09:53:59Z |
dc.date.available | 2014-07-02T09:53:59Z |
dc.date.created | 2014-01-01 |
dc.date.issued | 2014-01-01 |
dc.identifier.citation | Batlle, C.; Gomis, J.; Kamimura, K. Symmetries of the Free Schrodinger Equation in the Non-Commutative Plane. "Symmetry, integrability and geometry: methods and applications", 01 Gener 2014, vol. 10. |
dc.identifier.issn | 1815-0659 |
dc.identifier.uri | http://hdl.handle.net/2117/23380 |
dc.description.abstract | We study all the symmetries of the free Schrodinger 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 Schrodinger 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. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Schrödinger equation |
dc.subject.lcsh | Algebra |
dc.subject.lcsh | Mathematical physics |
dc.subject.other | non-commutative plane |
dc.subject.other | Schrodinger equation |
dc.subject.other | Schrodinger symmetries |
dc.subject.other | higher spin symmetries |
dc.subject.other | PHENOMENOLOGICAL LAGRANGIANS |
dc.subject.other | GALILEAN SYMMETRY |
dc.subject.other | FIELD-THEORY |
dc.subject.other | SCALE |
dc.subject.other | SPACE |
dc.subject.other | TERM |
dc.title | Symmetries of the Free Schrodinger Equation in the Non-Commutative Plane |
dc.type | Article |
dc.subject.lemac | Schrödinger, Equació de |
dc.subject.lemac | Àlgebra |
dc.subject.lemac | Física matemàtica |
dc.contributor.group | Universitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia |
dc.identifier.doi | 10.3842/SIGMA.2014.011 |
dc.rights.access | Open Access |
local.identifier.drac | 14938958 |
dc.description.version | Postprint (published version) |
local.citation.author | Batlle, C.; Gomis, J.; Kamimura, K. |
local.citation.publicationName | Symmetry, integrability and geometry: methods and applications |
local.citation.volume | 10 |
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