# Applied Physics Courses

**For more information on specific courses, including prerequisites, registration details and any last-minute changes, visit my.harvard**

## Physics as a Foundation for Science and Engineering, Part I

Kelly Miller

AP 50a is the first half of a one-year, team-based and project-based introduction to physics. This course teaches students to develop scientific reasoning and problem-solving skills. AP50a topics include: kinematics; linear and rotational motion; relativity; conservation of momentum and energy; forces; gravitation; and oscillations and waves. Multivariable and vector calculus is introduced and used extensively in the course. Students work in teams on three, month-long projects, each culminating in a project fair. The twice-weekly class periods are all inclusive: there are no separate labs or discussion sections.

## Physics as a Foundation for Science and Engineering, Part II

Kelly Miller

AP 50b is the second half of a one-year, team-based and project-based introduction to physics. This course teaches students to develop scientific reasoning and problem-solving skills. AP50b topics include: electrostatics; electric currents; magnetostatics; electromagnetic induction; Maxwell's Equations; electromagnetic radiation; geometric optics; and, wave optics. Multivariable and vector calculus is introduced and used extensively in the course. Students work in teams on three, month-long projects, each culminating in a project fair. The twice-weekly class periods are all inclusive: there are no separate labs or discussion sections.

## Introduction to Solid State Physics

The physics of crystalline solids and their electric, magnetic, optical, and thermal properties. Designed as a first course in solid-state physics. Topics: free electron model; Drude model; crystal structure and vibration (phonons); electrons in solids, Bloch theorem and band formation; metals and insulators; semiconductors and their applications; magnetism; electronic transport in low-dimensional systems.

## Electromagnetic Interactions with Matter

The first half of the course will cover the interaction of quantized atoms with electromagnetic fields, introducing several key concepts such as coherent Rabi oscillation vs. non-coherent rate equation dynamics, stimulated & spontaneous transition, and energy & phase relaxations. These will be then used as an integrated language to study a range of applications of atom-field interactions, especially, nuclear magnetic resonance, molecular beam & paramagnetic masers, atomic clocks, electromagnetically induced transparency, dynamic nuclear polarization, and importantly, lasers. We will briefly touch upon the interaction of quantized atoms with photons, discussing the atom + photon (Jaynes-Cummings) Hamiltonian, dressed states, and cavity QED. The second half will cover the classical interaction of electromagnetic fields and waves with matter, with special attentions to collective electrodynamics—magnetohydrodynamics and plasma physics—with applications in astrophysics, space physics, and Bloch electrons in crystalline solids.

## Foundations of Modern Optics

Optical systems and lasers have recently revolutionized both technology and basic research. We cover the fundamental physics of light and of light-matter interactions, including optical wave-propagation, ray optics, optical imaging and Fourier optics, quantization of electromagnetic fields, and nano-optics.

## Electrical, Optical, and Magnetic Properties of Materials

This course covers the electrical, optical and magnetic properties of several technologically important materials systems. It provides a general introduction of structure-property relations; defect chemistry including Kroger-Vink diagram and charged point defect; ionic conductivity in electrochemical intercalation energy storage materials; optical properties of wide bandgap metal oxides; spin, charge and crystal structure coupling, and their ordering and disordering.

## Landmark Papers in Soft Matter

Shmuel Rubinstein

A seminar course that will survey classical, landmark, papers in soft matter physics with a slight bias towards experimental works.

## Chemistry in Materials Science and Engineering

Select topics in materials chemistry, focusing on chemical bonds, crystal chemistry, organic and polymeric materials, hybrid materials, surfaces and interfaces, self-assembly, electrochemistry, biomaterials, and bio-inspired materials synthesis.

## Solids: Structure and Defects

Bonding, crystallography, diffraction, phase diagrams, microstructure, point defects, dislocations, and grain boundaries.

## Statistical Mechanics

Basic principles of statistical mechanics with applications, including the equilibrium properties of classical and quantum gases; phase diagrams, phase transitions and critical points, as illustrated by the gas-liquid transition and simple magnetic models; Bose-Einstein condensation.

## Electron Microscopy Laboratory

Lectures and laboratory instruction on transmission electron microscopy (TEM) and Cs corrected, aberration-correction microscopy and microanalysis. Lab classes include; diffraction, dark field imaging, X-ray spectroscopy, electron energy-loss spectroscopy, atomic imaging, materials sample preparation, polymers, and biological samples.

## Kinetics of Condensed Phase Processes

Kinetic principles underlying atomic motions, transformations, and other atomic transport processes in condensed phases. Application to atomic diffusion, continuous phase transformations, nucleation, growth, coarsening and mechanisms of plastic deformation.

## Quantum Theory of Solids

Theory of the electron liquid. Fermi liquid theory. Feynman diagrams, path integrals, and fluctuation dissipation theorem. Collective modes and screening in the electron liquid. Ferromagnetism and anti ferromagnetism. Superconductivity: BCS and Landau-Ginzburg theories. Kondo models and mixed valence metals.

## Introduction to Quantum Theory of Solids

Electrical, optical, thermal, magnetic, and mechanical properties of solids will be treated based on an atomic scale picture and using the independent electron approximation. Metals, semiconductors, and insulators will be covered, with possible special topics such as superconductivity.

## Special Topics in Applied Physics

Supervision of experimental or theoretical research on acceptable applied physics problems and supervision of reading on topics not covered by regular courses of instruction.

## Special Topics in Applied Physics

Supervision of experimental or theoretical research on acceptable applied physics problems and supervision of reading on topics not covered by regular courses of instruction.