An adapter is introduced into a rail during formation of the lighting arrangement, to receive electrical energy from a conductor device provided in a region of the rail when the lighting arrangement is in an operating state, and to supply an assembly, which can be electrically coupled to the adapter during formation of the lighting arrangement, with electrical energy for the operation of light-generating devices in the operating state. The adapter comprises a rotational connector and can be electrically coupled by means of a rotational movement of the rotational connector to a plurality of electrical phases provided by the conductor device. The adapter comprises a device for phase selection, by means of which the assembly electrically coupled to the adapter can be electrically coupled to a selectable one of the phases provided by the conductor device and electrically coupled to the adapter.