On generalized electromagnetism and Dirac algebra
نویسندگان
چکیده
منابع مشابه
On Generalized Electromagnetism and Dirac Algebra*
Using a framework of Dirac algebra, the Clifford algebra appropriate for Minkowski space-time, the formulation of classical electromagnetism including both electric and magnetic charge is explored. Employing the two-potential approach of Cabibbo and Ferrari, a Lagrangian is obtained that is dyality invariant and from which it is possible to derive by Hamilton’s principle both the symmetrized Ma...
متن کاملLinear Algebra using Dirac Notation
In 1939, P.M. Dirac published a short paper whose opening lines express the adage that “good notation can be of great value in helping the development of a theory” [Dir39]. In that paper, Dirac introduced notation for linear algebra that is commonly referred today as “Dirac” or “braket” notation. To set the stage for explaining Dirac notation, let us assume that we are dealing with a ddimension...
متن کاملThe Dirac Algebra and Grand Unification
A representation of the Dirac algebra, derived from first principles, can be related to the combinations of unit charges which determine particle structures. The algebraic structure derives from a broken symmetry between 4-vectors and quaternions which can be applied to the broken symmetry between the three nongravitational interactions. The significance of this relation for Grand Unification i...
متن کاملDirac Operators and Lie Algebra Cohomology
Dirac cohomology is a new tool to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves [V2], [HP1], [K4]. The aim of this paper is to study the Dirac cohomology for the Kostant cubic Dirac operator and its relation to Lie algebra cohomology. We show that the Dirac cohomology coincides with the correspondin...
متن کاملThe Dirac Algebra and its Physical Interpretation
A version of the Dirac equation is derived from first principles using a combination of quaternions and multivariate 4-vectors. The nilpotent form of the operators used allows us to derive explicit expressions for the wavefunctions of free fermions, vector bosons, scalar bosons, Bose-Einstein condensates, and baryons; annihilation, creation and vacuum operators; the quantum field integrals; and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Foundations of Physics
سال: 1989
ISSN: 0015-9018,1572-9516
DOI: 10.1007/bf00734522