Research Article

An Alternative Approach to Generate Maxwell Algebras

Volume: 14 Number: 1 April 30, 2018
EN

An Alternative Approach to Generate Maxwell Algebras

Abstract

We present an alternative method to produce Maxwell algebras. We show that D = 4 Maxwell algebras can be obtained by inducing from D = 6 Maxwell-Lorentz algebra. From this method, some Maxwell algebras are constructed.

Keywords

References

  1. Schrader, R. (1972) "The Maxwell Group and the Quantum Theory of Particles in Classical Homogeneous Electromagnetic Fields", Fortschritte der Physik, vol. 20, pp. 701-734.
  2. Bacry, H., Combe, P., Richard, J. L., (1970) "Group-theoretical analysis of elementary particles in an external electromagnetic field II. The nonrelativistic particle in a constant and uniform field", Il Nuovo Cimento, vol. 70, pp. 289-312.
  3. Bacry, H., Combe, P., Richard, J. L., (1970) "Group-theoretical analysis of elementary particles in an external electromagnetic field", Il Nuovo Cimento, vol. 67, pp. 267-299.
  4. Beckers, J., Hussin, V. (1983) "Minimal electromagnetic coupling schemes. II. Relativistic and nonrelativistic Maxwell groups", J. Math. Phys., vol. 24, pp. 1295.
  5. Negro, J., del Olmo, M. A. (1990) "Local realizations of kinematical groups with a constant electromagnetic field. I. The relativistic case", J. Math. Phys., vol. 31, pp. 568.
  6. Negro, J., del Olmo, M. A. (1990) "Local realizations of kinematical groups with a constant electromagnetic field. II. The nonrelativistic case", J. Math. Phys., 31, pp. 2811.
  7. Soroka, D.V., Soroka, V.A. (2005) "Tensor extension of the Poincare' algebra", Phys.Lett. B, vol. 607, pp. 302-305.
  8. Bonanos, S., Gomis, J. (2009) "A note on the Chevalley–Eilenberg cohomology for the Galilei and Poincaré algebras", J. Phys. A, vol. 42, pp. 145206.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 30, 2018

Submission Date

April 2, 2018

Acceptance Date

April 18, 2018

Published in Issue

Year 2018 Volume: 14 Number: 1

APA
Kibaroğlu, S., Şenay, M., & Aslan, M. (2018). An Alternative Approach to Generate Maxwell Algebras. Journal of Naval Sciences and Engineering, 14(1), 23-31. https://izlik.org/JA54YF54JP
AMA
1.Kibaroğlu S, Şenay M, Aslan M. An Alternative Approach to Generate Maxwell Algebras. JNSE. 2018;14(1):23-31. https://izlik.org/JA54YF54JP
Chicago
Kibaroğlu, Salih, Mustafa Şenay, and Mustafa Aslan. 2018. “An Alternative Approach to Generate Maxwell Algebras”. Journal of Naval Sciences and Engineering 14 (1): 23-31. https://izlik.org/JA54YF54JP.
EndNote
Kibaroğlu S, Şenay M, Aslan M (April 1, 2018) An Alternative Approach to Generate Maxwell Algebras. Journal of Naval Sciences and Engineering 14 1 23–31.
IEEE
[1]S. Kibaroğlu, M. Şenay, and M. Aslan, “An Alternative Approach to Generate Maxwell Algebras”, JNSE, vol. 14, no. 1, pp. 23–31, Apr. 2018, [Online]. Available: https://izlik.org/JA54YF54JP
ISNAD
Kibaroğlu, Salih - Şenay, Mustafa - Aslan, Mustafa. “An Alternative Approach to Generate Maxwell Algebras”. Journal of Naval Sciences and Engineering 14/1 (April 1, 2018): 23-31. https://izlik.org/JA54YF54JP.
JAMA
1.Kibaroğlu S, Şenay M, Aslan M. An Alternative Approach to Generate Maxwell Algebras. JNSE. 2018;14:23–31.
MLA
Kibaroğlu, Salih, et al. “An Alternative Approach to Generate Maxwell Algebras”. Journal of Naval Sciences and Engineering, vol. 14, no. 1, Apr. 2018, pp. 23-31, https://izlik.org/JA54YF54JP.
Vancouver
1.Salih Kibaroğlu, Mustafa Şenay, Mustafa Aslan. An Alternative Approach to Generate Maxwell Algebras. JNSE [Internet]. 2018 Apr. 1;14(1):23-31. Available from: https://izlik.org/JA54YF54JP