Putting positrons into classical Dirac field theory

Putting Theory into Practice

Classical Field Theory

a) Energy-momentum Based on Noether’s theorem, construct the energy-momentum tensor for classical electromagnetism from the above Lagrangian. Note that the usual procedure does not result in a symmetric tensor. To remedy that, we can add to T μν a term of the form ∂λK λμν , where K is antisymmetric in its first two indices. Such an object is automatically divergenceless, so T̂ μν = T μν + ∂λK λμ...

Web-based development: Putting practice into theory

Against the backdrop of the current web development arena, this paper sketches an overview of work done by the author towards achieving a higher-level abstraction to program web applications to. The paper illuminates unexpected problems encountered when applying these theoretical ideas in practice and points out a number of directions for future research. In conclusion, the paper takes a brief ...

Potential Scattering in Dirac Field Theory

We develop the potential scattering of a spinor within the context of perturbation field theory. As an application, we reproduce, up to second order in the potential, the diffusion results for a potential barrier of quantum mechanics. An immediate consequence is a simple generalization to arbitrary potential forms, a feature not possible in quantum mechanics. Subject Classification: 03.64.Nk , ...

Dirac ’ s hole theory versus quantum field theory

Dirac’s hole theory and quantum field theory are usually considered equivalent to each other. For models of a certain type, however, the equivalence may not hold as we discuss in this Letter. This problem is closely related to the validity of the Pauli principle in intermediate states of perturbation theory.