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Higher Spin Symmetries of the Free Schrödinger Equation
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-21
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
It is shown that the Schrödinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher spin algebra.
The latter spans an infinite dimensional algebra of higher-order symmetry generators of the free Schrödinger equation.
An explicit representation of the maximal finite dimensional subalgebra of the higher spin algebra is given in terms of nonrelativistic generators.
We show also how to convert Vasiliev’s equations into an explicit nonrelativistic covariant form, such that they might apply to nonrelativistic systems.
Our procedure reveals that the space of solutions of the Schrödinger equation can be regarded also as a supersymmetric module.
American Psychological Association (APA)
Valenzuela, Mauricio. 2016. Higher Spin Symmetries of the Free Schrödinger Equation. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095853
Modern Language Association (MLA)
Valenzuela, Mauricio. Higher Spin Symmetries of the Free Schrödinger Equation. Advances in Mathematical Physics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1095853
American Medical Association (AMA)
Valenzuela, Mauricio. Higher Spin Symmetries of the Free Schrödinger Equation. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095853
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095853