By Breit G.

Show description

Read or Download An Interpretation of Diracs Theory of the Electron PDF

Similar quantum physics books

An open systems approach to quantum optics: lectures presented at the Universite libre de Bruxelles, October 28 to November 4, 1991

This quantity comprises ten lectures provided within the sequence ULB Lectures in Nonlinear Optics on the Universite Libre de Bruxelles throughout the interval October 28 to November four, 1991. a wide a part of the 1st six lectures is taken from fabric ready for a ebook of a little higher scope to be able to be published,by Springer less than the identify Quantum Statistical equipment in Quantum Optics.

Electronic States in Crystals of Finite Size: Quantum Confinement of Bloch Waves

This booklet offers an analytical concept at the digital states in perfect low-dimensional structures and finite crystals, lately built through the writer, according to a differential equation thought technique. It offers a few special and common primary understandings at the digital states in perfect low-dimensional platforms and finite crystals, and offers new insights into a few primary difficulties in low-dimensional platforms similar to the outside states, quantum confinement results, and so forth.

Introduction to Quantum Theory

Delivering a deeper realizing of the microscopic global via quantum thought, this supplementary textual content covers a much wider variety of themes than traditional textbooks. Emphasis is given to trendy achievements similar to entanglement, quantum teleportation, and Bose-Einstein condensation. Macroscopic quantum results of functional relevance, for instance superconductivity and the quantum corridor impression, also are defined.

String theory and the real world: from particle physics to astrophysics: Ecole d'ete de physique des Houches, session LXXXVII, 2 July-27 July 2007: Ecole thematique du CNRS

This publication is a suite of lectures given in July 2007 on the Les Houches summer season institution on "String conception and the genuine global: From particle physics to astrophysics". . presents a pedagogical advent to issues in String idea, and Cosmology . Addresses each one subject from the foundation to the latest advancements .

Additional info for An Interpretation of Diracs Theory of the Electron

Sample text

Thus the structure constants define the Lie algebra, and the problem of finding all matrix representations of a Lie algebra amounts to the algebraic problem of finding all possible matrix solutions TRa of eq. 9). 2 Actually, the generators of a Lie group can even be defined without making any reference to a specific representation. One makes use of the fact that a Lie group is also a manifold, parametrized by the coordinates θ a , and defines the generators as a basis of the tangent space at the origin.

81) with Lµν given in eq. 78). We write ΛL in the form ΛL = e− 2 ωµν S i µν . 82) Then eq. 83) J µν = Lµν + S µν . 84) with Comparing eq. 82) with eq. 85) σi . 86) 2 We recognize in eq. 84) the separation of the angular momentum into the orbital and the spin contributions. It is clear that this separation is completely general, and holds for any representation. 78) independently of the representation, while S µν depends on the specific representation used. For instance, for right-handed Weyl fields S i are still given by eq.

A representation in which all generators are equal to zero is trivially a solution of eq. 9), for any Lie group, and so it is called the trivial representation. The four-vector representation is more interesting. In this case i, j are themselves Lorentz indices, so each generator J µν is represented by a 4 × 4 matrix (J µν )ρ σ . The explicit form of this matrix is (J µν )ρ σ = i (η µρ δσν − η νρ δσµ ) . 23) This can be shown observing that, from eqs. 24) with (J µν )ρ σ given by eq. 23) (this solution for J µν is unique because we require the antisymmetry under µ ↔ ν).

Download PDF sample

Rated 4.12 of 5 – based on 32 votes