We explore the emergence of many-body physics from quantum mechanics via spontaneous symmetry breaking. To this end, we study potentials which are functionals on space Hamiltonians enjoying an unstable critical point corresponding to a random mechanical system (the Gaussian unitary ensemble), but also less symmetrical local minima interacting systems at level operators.

We derive compact analytical formulae of the Bonneau-Martin type for the reaction e + e − → ¯ f f γ with cuts on minimal energy and acollinearity of the fermions, where the photons may be emitted both from the initial or final states. Soft photon exponentiation is also taken into account. One of the cleanest scattering processes at elementary particle accelerators is fermion-pair production in ...

The properties of bioaerosols are complex and diverse, have a direct impact on the environment, climate, human health. effective identification in atmosphere is very significant with regard to accurately obtaining atmospheric chemical characteristics making biological early warnings predictions. To improve detection large particle bioaerosol non-bioaerosol interference process recognition this ...