Relation between the Kähler equation and the Dirac equation

被引：0

作者：

Vittorio Cantoni

机构：

[1] Università di Milano,Dipartimento di Matematica

来源：

International Journal of Theoretical Physics | 1997年 / 36卷

关键词：

Dirac Equation; Clifford Algebra; Regular Representation; Exterior Algebra; Distinct Representation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The formal analogy and the substantial differences between the Kähler equation and the Dirac equation are explained in terms of the relativistic compatibility of a common differential operator on the Clifford algebraC with two distinct representations of the Lorentz Lie algebra onC.

引用

页码：385 / 393

页数：8

共 50 条

[1] Dirac–Kähler Equation
S. I. Kruglov
[J]. International Journal of Theoretical Physics, 2002, 41 : 653 - 687
[2] Symmetries of the complex Dirac-Kähler equation
I. Yu. Krivsky
R. R. Lompay
V. M. Simulik
[J]. Theoretical and Mathematical Physics, 2005, 143 : 541 - 558
[3] Relation between the Kahler equation and the Dirac equation
Cantoni, V
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1997, 36 (02) : 385 - 393
[4] A Discrete Dirac–Kähler Equation Using a Geometric Discretisation Scheme
Volodymyr Sushch
[J]. Advances in Applied Clifford Algebras, 2018, 28
[5] The Kähler-Dirac Equation with Non-Scalar-Valued Differential Form
Jose G. Vargas
Douglas G. Torr
[J]. Advances in Applied Clifford Algebras, 2008, 18 : 1007 - 1021
[6] HYPOTHETICAL RELATION BETWEEN DIRAC EQUATION AND MAXWELL EQUATIONS
KOGA, T
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1972, 17 (12): : 1193 - 1193
[7] On the -equation¶over pseudoconvex Kähler manifolds
Hideaki Kazama
Shigeharu Takayama
[J]. manuscripta mathematica, 2000, 102 : 25 - 39
[8] ON THE PHYSICAL RELATION BETWEEN THE DIRAC-EQUATION AND THE GENERALIZED MKDV EQUATION ON A THIN ELASTIC ROD
MATSUTANI, S
[J]. PHYSICS LETTERS A, 1994, 189 (1-2) : 27 - 31
[9] On a relation between the Bach equation and the equation of geometrodynamics
Gorbatenko, MV
Pushkin, AV
Schmidt, HJ
[J]. GENERAL RELATIVITY AND GRAVITATION, 2002, 34 (01) : 9 - 22
[10] On a Relation Between the Bach Equation and the Equation of Geometrodynamics
M. V. Gorbatenko
A. V. Pushkin
H.-J. Schmidt
[J]. General Relativity and Gravitation, 2002, 34 : 9 - 22

← 1 2 3 4 5 →