Tampere University of Technology

TUTCRIS Research Portal

Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace

Research output: Contribution to journalArticleScientificpeer-review

Standard

Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace. / Adán, Alí Guzmán; Orelma, Heikki; Sommen, Frank.

In: Advances in Applied Clifford Algebras, Vol. 29, No. 4, 71, 01.09.2019.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Adán, AG, Orelma, H & Sommen, F 2019, 'Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace', Advances in Applied Clifford Algebras, vol. 29, no. 4, 71. https://doi.org/10.1007/s00006-019-0981-0

APA

Adán, A. G., Orelma, H., & Sommen, F. (2019). Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace. Advances in Applied Clifford Algebras, 29(4), [71]. https://doi.org/10.1007/s00006-019-0981-0

Vancouver

Adán AG, Orelma H, Sommen F. Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace. Advances in Applied Clifford Algebras. 2019 Sep 1;29(4). 71. https://doi.org/10.1007/s00006-019-0981-0

Author

Adán, Alí Guzmán ; Orelma, Heikki ; Sommen, Frank. / Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace. In: Advances in Applied Clifford Algebras. 2019 ; Vol. 29, No. 4.

Bibtex - Download

@article{efa40309eb534ef8b4f2e5b779ec465a,
title = "Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace",
abstract = "In this paper, we obtain Cauchy–Kovalevskaya theorems for hypermonogenic superfunctions depending only on purely bosonic and fermionic vector variables. In addition, we use these results to construct plane wave examples of such functions.",
keywords = "Cauchy–Kovalevskaya extension, Clifford analysis, Hypermonogenic functions, Plane waves, Superspace",
author = "Ad{\'a}n, {Al{\'i} Guzm{\'a}n} and Heikki Orelma and Frank Sommen",
year = "2019",
month = "9",
day = "1",
doi = "10.1007/s00006-019-0981-0",
language = "English",
volume = "29",
journal = "Advances in Applied Clifford Algebras",
issn = "0188-7009",
publisher = "Springer Verlag",
number = "4",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace

AU - Adán, Alí Guzmán

AU - Orelma, Heikki

AU - Sommen, Frank

PY - 2019/9/1

Y1 - 2019/9/1

N2 - In this paper, we obtain Cauchy–Kovalevskaya theorems for hypermonogenic superfunctions depending only on purely bosonic and fermionic vector variables. In addition, we use these results to construct plane wave examples of such functions.

AB - In this paper, we obtain Cauchy–Kovalevskaya theorems for hypermonogenic superfunctions depending only on purely bosonic and fermionic vector variables. In addition, we use these results to construct plane wave examples of such functions.

KW - Cauchy–Kovalevskaya extension

KW - Clifford analysis

KW - Hypermonogenic functions

KW - Plane waves

KW - Superspace

U2 - 10.1007/s00006-019-0981-0

DO - 10.1007/s00006-019-0981-0

M3 - Article

VL - 29

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

SN - 0188-7009

IS - 4

M1 - 71

ER -