On the Majorana Equation : Relations between Its Complex Two-Component and Real Four-Component Eigenfunctions
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-02
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We first derive without recourse to the Dirac equation the two-component Majorana equation with a mass term by a direct linearization of the relativistic dispersion relation of a massive particle.
Thereby, we make only use of the complex conjugation operator and the Pauli spin matrices, corresponding to the irreducible representation of the Lorentz group.
Then we derive the complex two-component eigenfunctions of the Majorana equation and the related quantum fields in a concise way, by exploiting the so-called chirality conjugation operator that involves the spin-flip operator.
Subsequently, the four-component spinor solutions of the real Majorana equation are derived, and their intrinsic relations with the spinors of the complex two-component version of the Majorana equation are revealed and discussed extensively.
American Psychological Association (APA)
Marsch, Eckart. 2012. On the Majorana Equation : Relations between Its Complex Two-Component and Real Four-Component Eigenfunctions. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-496584
Modern Language Association (MLA)
Marsch, Eckart. On the Majorana Equation : Relations between Its Complex Two-Component and Real Four-Component Eigenfunctions. ISRN Mathematical Physics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-496584
American Medical Association (AMA)
Marsch, Eckart. On the Majorana Equation : Relations between Its Complex Two-Component and Real Four-Component Eigenfunctions. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-496584
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496584