# 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; conservation of momentum and energy; forces; gravity; 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.

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

Federico Capasso

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; the physics of crystal binding; crystal structure and vibration (phonons); electrons in solids (Bloch theorem) and electronic band structures; metals and insulators; semiconductors (and their applications in pn junctions and transistors); plasmonic excitations and screening; optical transitions; solid-state lasers; magnetism, spin waves, magnetic resonance, and spin-based devices; dielectrics and ferroelectrics; superconductivity, Josephson junctions, and superconducting circuits; electronic transport in low-dimensional systems, quantum Hall effect, and resonant tunneling devices.

## 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.

## 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.

## Introduction to Soft Matter

Shmuel Rubinstein

Introduction to the physics of soft matter, also called complex fluids or squishy physics, includes the study of capillarity, thin films, polymers, polymer solutions, surfactants, and colloids,. Emphasis is on physical principles which scale bulk behavior. Students will understand the concepts, experimental techniques, and, especially, the open questions. Lecture notes are supplied in place of a textbook.

## 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.

## 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.

## Quantum Theory of Solids

This course presents theoretical description of solids focusing on the effects of interactions between electrons. Topics include Fermi liquid theory, dielectric response and RPA approximation, ferro and antiferromagnetism, RKKY interactions and Kondo effect, electron-phonon interactions and superconductivity.

## 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.

## Mesoscale and Low Dimensional Devices

Concepts of basic condensed matter physics are applied to the science and technology of beyond-CMOS quantum electronic devices, especially mesoscale, low-dimensional, and superconducting devices. The course covers quantum-effect electronic transport in low dimensions, such as resonant tunneling, conductance quantization, quantum Hall effects, topological states, geometric phase, and spin/valley Hall effects; quantum-effect electrodynamics such as quantum liquid behaviors; and superconducting quantum circuits. This course is directly relevant to the broad gamut of research activities on quantum, nano, and low-dimensional materials (e.g., graphene, TMDCs, van-der-Waals materials, nanowires, topological insulators) and beyond-CMOS electronics across Harvard Applied Physics, Physics, Materials, Engineering, and Chemistry.

## 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.