Abstract
In light of recent experiments, the study of the collective excitations in unconventional superconductors (USC) becomes very important. We build by path integration technique 2D and 3D models of p- and d-pairing for superfluids and superconductors (SC). Within these models we calculate the collective excitations in different USC (high temperature superconductors (HTSC), heavy fermion superconductors (HFSC) etc.) under p- and d-pairing. We considered both bulk and 2D systems. Some recent ideas concerning realization in HTSC of the mixtures of different states are investigated. In particular, we consider the mixture of dx2-y2 and dxy states in HTSC. Obtained results could be used for interpretation of the sound and microwave absorption data as well as for identification of the type of pairing and order parameter in unconventional superconductors.
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