Quantum Science: Applications of Statistical Physics

This lecture covers the applications of quantum science, focusing on statistical physics principles. It begins with the conduction band of semiconductors, discussing electron density and energy states. The instructor explains the concept of doping and its effect on the Fermi level, illustrating how it influences electron and hole concentrations. The lecture then transitions to the behavior of photons, detailing their energy in relation to wavelength and the Planck law. The discussion includes black body radiation, emphasizing the relationship between temperature and emitted spectrum. The instructor introduces the quantum point contact, explaining its principles and conductance in one-dimensional systems. The lecture concludes with exercises that reinforce the concepts of electron density and energy distribution in metals and gases, as well as in graphene. Overall, the lecture provides a comprehensive overview of quantum applications in statistical physics, highlighting key equations and principles relevant to the field.