A procedure has been developed for the regioselective, high yielding synthesis of 2H-indazoles that involves direct alkylation of indazoles with various allyl and benzyl bromides, and α-bromocarbonyl compounds.

The multiphoton Jaynes-Cummings model is theoretically generalized to the simplest case of collectively radiating atoms. For this Jaynes-Cummings model, we find its supersymmetric structure. Based on this, we introduce a supersymmetric unitary transformation to diagonalize the Hamiltonian, and in so doing, its eigenvalues and eigenfunctions are obtained. Some transition processes are calculated.

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A very simple and efficient method for the regioselective N‐alkylation of pyrazole derivatives with alkyl and benzyl bromides is reported.

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