Electromagnetic coupling of strongly non-local quantum mechanics
MetadataShow full item record
Although standard quantum mechanics has some non-local features, the probability current of the Schrodinger equation is locally conserved, and this allows minimal electromagnetic coupling. For some important extensions of the Schrodinger equation, however, the probability current is not locally conserved. We show that in these cases the correct electromagnetic coupling requires a relatively simple extension of Maxwell theory which has been known for some time and recently improved by covariant integration of a scalar degree of freedom. We discuss some general properties of the solutions and examine in particular the case of an oscillating dipolar source. Remarkable mathematical and physical differences emerge with respect to Maxwell theory, as a consequence of additional current terms present in the equations for. del center dot E and. del center dot B. Several possible applications are mentioned.
Showing items related by title, author, creator and subject.
Modanese G (2018)In relativistic quantum field theory with local interactions, charge is locally conserved. This implies local conservation of probability for the Dirac and Klein–Gordon wavefunctions, as special cases; and in turn for ...
Jing YF; Huang TZ; Duan Y; Carpentieri B (2010)This study is mainly focused on iterative solutions with simple diagonal preconditioning to two complex-valued nonsymmetric systems of linear equations arising from a computational chemistry model problem proposed by Sherry ...
Comparison between semiclassical and full quantum transport analysis of THz quantum cascade lasers Mátyás A; Kubis T; Lugli P; Jirauschek C (2010)We implement and compare two theoretical models for stationary electron transport in quantum cascade lasers and Stark ladders. The first one, the nonequilibrium Green's function method is a very general scheme to include ...