Physics NotePublished
Generalized supersymmetry and Lévy-Leblond equation
Z. Kuznetsova; N. Aizawa; H. Tanaka
Publication details
- Authors
- Z. Kuznetsova; N. Aizawa; H. Tanaka
- Type
- Physics Note
- Status
- Published
- Publication date
- 03/10/2016
- Description
- The symmetries of the L\'evy-Leblond equation are investigated beyond the standard Lie framework. It is shown that the equation has two remarkable symmetries. One is given by the super Schr\"odinger algebra and the other is by a $\ZZ$ graded Lie algebra. The $\ZZ$ graded Lie algebra is achieved by transforming bosonic into fermionic operators in the super Schr\"odinger algebra and introducing second order differential operators as generators of symmetry.
- Year
- 2016
- Number
- CBPF-NF-005/16
- Linked to a thesis
- No
- Linked to a grant
- No