Explore analytical solutions of the Dirac-Bogoliubov-de Gennes equation for inhomogeneous quantum many-body systems in this 53-minute conference talk by Per Moosavi from ETH Zurich. Delve into the intricacies of integrability in Condensed Matter Physics and Quantum Field Theory as the speaker presents advanced mathematical techniques for solving complex quantum systems. Gain insights into the application of these analytical methods to understand the behavior of inhomogeneous quantum many-body systems, which are crucial for various areas of modern physics and materials science.