How do the microscopic laws of physics reveal the quantum nature of the universe and shape the macroscopic behavior of matter?
In this advanced program for students studying chemistry, physics, and related fields, we’ll investigate two interconnected threads: Quantum Mechanics (QM) and Statistical Mechanics & Thermodynamics (SMaTh). Students may take either or both threads individually.
In the QM thread, we will learn the origins and implications of quantum mechanics, exploring quantization of energy and matter and the wave-particle duality of matter and energy. We will study the Heisenberg uncertainty principle and the Schrodinger quantum wave equation applied to barriers and tunneling, harmonic oscillators, and atoms. We’ll investigate orbital and spin angular momentum and coupling and the Pauli exclusion principle. We will examine how quantum principles underpin modern technologies, from semiconductors to nuclear fusion reactors.
The SMaTH thread presents an integrated view of statistical mechanics and thermodynamics. We will cover the properties of large numbers of interacting particles the laws of thermodynamics, heat engines and refrigerators, free energies and chemical thermodynamics, Boltzmann statistics (including the partition function and the equipartition theorem), and quantum statistics. We will develop and refine models that describe solids, liquids, gases, and spins, and explain and predict a wide range of everyday and exotic behavior, with applications ranging across the natural sciences (astronomy, biology, chemistry, geology, material science, physics, etc.).
We aim to foster a collaborative and inclusive learning environment. The challenging nature of the material requires consistent participation and a substantial time commitment outside of class. Through lectures, problem-solving workshops, computational modeling, and demonstrations of key phenomena, students will develop deep conceptual understanding and strong quantitative problem-solving skills. Weekly work includes reading assignments, extensive problem sets, and regular exams.
Our collective efforts will equip students with the conceptual knowledge and mathematical proficiency needed for further advanced study in chemistry, physics, and related disciplines.
This program covers some of the material typically covered in Atoms, Molecules, and Reactions. Students also looking for advanced inorganic chemistry should see the spring program Advanced Inorganic and Organic Chemistry.
Anticipated Credit Equivalencies:
8* - Quantum Mechanics
8* - Statistical Mechanics and Thermodynamics
Registration
Math Prerequisites:Differential equations and multivariable calculus (particularly for QM); calculus (particularly for SMaTh).
Science Prerequisites:EITHER one year of college-level general chemistry OR one year of college or university physics.
Academic Details
chemistry, physics, engineering, science education, and related fields
Students who successfully complete program requirements as demonstrated by performance on assessments will earn upper-division science credits: 8 credits in quantum mechanics and 8 credits in statistical mechanics and thermodynamics.