Results 201 to 210 of about 1,518 (237)

Dirac’s Bra and Ket Algebra

2004
In this chapter we will introduce Dirac’s bra and ket algebra in which the states of a dynamical system will be denoted by certain vectors (which, following Dirac, will be called as bra and ket vectors) and operators representing dynamical variables (like position coordinates, components of momentum and angular momentum) by matrices.2 In the following ...
Ajoy Ghatak, S. Lokanathan
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Dirac theory in spacetime algebra: I. The generalized bivector Dirac equation

Journal of Physics A: Mathematical and General, 2001
Summary: This paper formulates the standard Dirac theory without resorting to spinor fields. Spinor fields mix bivectors and vectors which have different properties in spacetime algebra. Instead the Dirac field is formulated as a generalized bivector field. All the usual results of the standard Dirac theory fall out naturally and simply. The plane-wave
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Spurious Roots in the Algebraic Dirac Equation

Physica Scripta, 2003
Summary: The nature of spurious roots discovered by \textit{G. W. F. Drake} and \textit{S. P. Goldman} [Phys. Rev. A 23, 2093 (1981)] among solutions of the algebraic Dirac Hamiltonian eigenvalue problem is discussed. It is shown that the spurious roots represent the positive spectrum states of the Dirac Hamiltonian and that each of them has its ...
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Linear Algebra and the Dirac Notation

2006
We assume the reader has a strong background in elementary linear algebra. In this section we familiarize the reader with the algebraic notation used in quantum mechanics, remind the reader of some basic facts about complex vector spaces, and introduce some notions that might not have been covered in an elementary linear algebra course.
Phillip Kaye, Raymond Laflamme, Michele Mosca   +2 more
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A Dirac algebraic approach to supersymmetry

Foundations of Physics, 1983
The power of the Dirac algebra is illustrated through the Kahler correspondence between a pair of Dirac spinors and a 16-component bosonic field. The SO(5, 1) group acts on both the fermion and boson fields, leading to a supersymmetric equation of the Dirac type involving all these fields.
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Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials, 2021
M Zahid Hasan, Guoqing Chang, Ilya Belopolski   +2 more
exaly  

Bra ket algebra of Dirac

2022
Dipankar Bhattacharyya, Jyotirmoy Guha
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Dirac cohomology for Hopf-Hecke algebras

2018
In this dissertation, a generalized version of Dirac cohomology is developed.It is shown that Dirac operators can be defined and their cohomology can be studied for a general class of algebras, which we call Hopf--Hecke algebras. A result relating the Dirac cohomology with central characters is established for a subclass of algebras, which we call ...
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Transport, magnetic and optical properties of Weyl materials

Nature Reviews Materials, 2020
Naoto Nagaosa, Takahiro Morimoto, Yoshi Tokura   +2 more
exaly  

Real Dirac Algebra

2006
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