Iterants, majorana fermions and the majorana-dirac equation

Standard

Iterants, majorana fermions and the majorana-dirac equation. / Kauffman, Louis H.

In: Symmetry, Vol. 13, No. 8, 1373, 08.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Kauffman, LH 2021, 'Iterants, majorana fermions and the majorana-dirac equation', Symmetry, vol. 13, no. 8, 1373. https://doi.org/10.3390/sym13081373

APA

Kauffman, L. H. (2021). Iterants, majorana fermions and the majorana-dirac equation. Symmetry, 13(8), [1373]. https://doi.org/10.3390/sym13081373

Vancouver

Kauffman LH. Iterants, majorana fermions and the majorana-dirac equation. Symmetry. 2021 Aug;13(8):1373. doi: 10.3390/sym13081373

Author

Kauffman, Louis H. / Iterants, majorana fermions and the majorana-dirac equation. In: Symmetry. 2021 ; Vol. 13, No. 8.

BibTeX

@article{8f65826f7431437f913dcce54b21f6a9,

title = "Iterants, majorana fermions and the majorana-dirac equation",

abstract = "This paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Clifford algebras and matrix algebras. The paper discusses the structure of the Schr{\"o}dinger equation, the Dirac equation and the Majorana Dirac equations, finding solutions via the nilpotent method initiated by Peter Rowlands.",

keywords = "Clifford algebra, Complex number, Dirac equation, Discrete, Iterant, Majorana fermion, Majorana-Dirac equation, Nilpotent, Spacetime algebra",

author = "Kauffman, {Louis H.}",

note = "Publisher Copyright: {\textcopyright} 2021 by the author. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = aug,

doi = "10.3390/sym13081373",

language = "English",

volume = "13",

journal = "Symmetry",

issn = "2073-8994",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "8",

}

RIS

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T1 - Iterants, majorana fermions and the majorana-dirac equation

AU - Kauffman, Louis H.

PY - 2021/8

Y1 - 2021/8

N2 - This paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Clifford algebras and matrix algebras. The paper discusses the structure of the Schrödinger equation, the Dirac equation and the Majorana Dirac equations, finding solutions via the nilpotent method initiated by Peter Rowlands.

AB - This paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Clifford algebras and matrix algebras. The paper discusses the structure of the Schrödinger equation, the Dirac equation and the Majorana Dirac equations, finding solutions via the nilpotent method initiated by Peter Rowlands.

KW - Clifford algebra

KW - Complex number

KW - Dirac equation

KW - Discrete

KW - Iterant

KW - Majorana fermion

KW - Majorana-Dirac equation

KW - Nilpotent

KW - Spacetime algebra

UR - http://www.scopus.com/inward/record.url?scp=85111921129&partnerID=8YFLogxK

U2 - 10.3390/sym13081373

DO - 10.3390/sym13081373

M3 - Article

AN - SCOPUS:85111921129

VL - 13

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 8

M1 - 1373

ER -

ID: 29292409