This lecture covers a quantum description of condensed matters, including the Schrodinger Equation, Born-Oppenheimer Approximation, and recent applications like metallic liquid hydrogen, lithium melting, metallic hydrogen reflectance, and proton penetration through 2D layers. The explicit expansion of many-body wave functions is discussed, along with overcoming the limitations of ideal crystal theory. The workshop focuses on the quantum treatment of nuclei, introducing path-integral concepts and density matrices. The lecture also delves into the Wigner-Huntington transition to metallic hydrogen, the reflectance of metallic hydrogen, and the penetration of protons through 2D crystals.