Advanced Engineering Quantum Mechanics
ENG-SCI 200
Subject & Catalog Number
Course Information
Description
The focus of this course is on the basic principles involved in the control of quantum systems and assumes knowledge of undergraduate quantum mechanics. Schrödinger, Heisenberg and interaction representations. Eigenvalue and time dependent problems, wave packets, coherent states. Harmonic oscillators. Quantization of the EM field. Tunneling; periodic potentials; Bloch’s theorem. Perturbation theory. WKB approximation. Transfer matrix methods. Variational methods. Rotation generators and angular momentum. Magnetic moment and spin; Stern Gerlach experiment. Spin states, Pauli matrices. Pauli equation. Dynamics of spins in a static and a transverse time dependent magnetic field; dynamics in a rotating frame; Rabi oscillations. Coherent dynamics of two-level atoms. Rotating-wave and dipole approximations. Mixed states and density matrix. T1 and T2 relaxation times. Bloch equations. Identical particles: Bosons and Fermions. Slater determinant. Entanglement; singlet and triplet states. Hydrogen molecule. Clebsch-Gordan coefficients. Exchange energy. Elements of quantum information (qubits, no-cloning theorem, teleportation, quantum circuits).
Course Notes
This course is also offered as QSE 200 and Chem 200. Students may only take one of ENG-SCI 200, QSE 200, and Chem 200 for credit. Taking this course meets the quantum mechanics core course requirement for Applied Physics.
Available for Harvard Cross Registration
NOTE: This course requires additional sections; you will be prompted to choose secondary components during the Add to Cart process
