Some possibilities for laboratory searches for variations of fundamental constants

We consider different options for the search for possible variations of the fundamental constants. We give a brief overview of the results obtained wi th several methods. We discuss their advantages and disadvantages with resp ect to simultaneous variations of all constants in both time and space in t he range 10(8)-10(10) years. We also suggest a few possibilities for the la boratory search. Particularly, we propose some experiments with the hyperfi ne structure of hydrogen, deuterium, and ytterbium-171 and of some atoms wi th a small magnetic moment. Other suggestions are for some measurements of the fine structure associated with the ground state. Special attention is p aid to the interpretation of the hfs measurements in terms of variations of the fundamental constants.