Analytical model of a resonant gravitational wave antenna

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Abstract
We report on the development of a model for a resonant gravitational wave antenna. This model considers a resonant bar coupled with a resonant capacitive transducer connected to a dc SQUID amplifier, i.e., a system with three coupled oscillators. The model is used to derive an analytical expression of the apparatus sensitivity in terms of an effective temperature for "burst" signals. This leads to new and more general mechanical and electrical matching conditions for improving the sensitivity: when they are satisfied the Giffard limit is obtained.