**5. Conclusions**

We consider all superconducting states, arising in symmetry classification of p-wave and d-wave 2D–superconductors, and calculate the full collective modes spectrum for each of these states.

The collective mode spectrum could manifest itself in microwave impedance technique, in ultrasound experiments, ultrasound velocity measurements and others. They allow determine the type of pairing and the symmetry of order parameter in HTSC and HFSC.

**Author details**

\* and Tatiana Filatova<sup>2</sup>

Russian Federation, Moscow, Russia

provided the original work is properly cited.

1 Department of Mathematics, Financial University under the Government of

*Path Integral Two Dimensional Models of P– and D–Wave Superconductors and Collective Modes*

*DOI: http://dx.doi.org/10.5772/intechopen.97041*

2 Department of Financial and Investment Management, Financial University

© 2021 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium,

under the Government of Russian Federation, Moscow, Russia

\*Address all correspondence to: pnb1983@yahoo.com

Peter Brusov<sup>1</sup>

**75**

*Path Integral Two Dimensional Models of P– and D–Wave Superconductors and Collective Modes DOI: http://dx.doi.org/10.5772/intechopen.97041*
