Classical adiabatic holonomy in field theory

II. Non adiabatic theory of collisions in a radiative field. Semi-classical limit : Ar + O case

2014 The semi-classical limit of the non adiabatic theory of collisions in a radiative field detailed in paper 1 is applied to the numerical calculation of the collision induced emission cross section of the O(2 1S) + Ar ~ O(1 1D) + Ar + h v transition of oxygen perturbed by argon previously studied by Julienne (1982) whose available quantal results are taken as reference. The numerical results...

Non adiabatic theory of collisions in a radiative field. Semi-classical limit

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...

Resonances and adiabatic invariance in classical and quantum scattering theory

We discover that the energy-integral of time-delay is an adiabatic invariant in quantum scattering theory and corresponds classically to the phase space volume. The integral thus found provides a quantization condition for resonances, explaining a series of results recently found in non-relativistic and relativistic regimes. Further, a connection between statistical quantities like quantal reso...

Topological Field Theory and Quantum Holonomy Representations of Motion Groups

Canonical quantization of abelian BF -type topological field theory coupled to extended sources on generic d-dimensional manifolds and with curved line bundles is studied. Sheaf cohomology is used to construct the appropriate topological extension of the action and the topological flux quantization conditions, in terms of the Čech cohomology of the underlying spatial manifold, as required for t...