ENG-SCI 200, QSE 200, CHEM 200
Federico Capasso, Kang-Kuen Ni
1:30 pm to 2:45 pm
This course is an introduction to the foundations of quantum mechanics, with specific focus on the basic principles involved in the control of quantum systems. Schrödinger’s equation, Superposition principle, eigenvalue and time dependent problems, wave packets, coherent states; uncertainty principle. One dimensional problems: double well potentials, tunneling and resonant tunneling; WKB approximation. Hermitian operators and expectation values; time evolution and Hamiltonian, commutation rules, perturbation theory, transfer matrix and variational methods. Crystals, Bloch theorem, superlattices. Angular momentum, spin, Pauli matrices and Pauli equation. Coherent interaction of light with two-level systems. quantization of the EM field, spontaneous and stimulated emission; elements of cavity QED; elements of quantum information (Qubits, entanglement, teleportation, Bell inequalities).
Taking this course meets the quantum mechanics core course requirement for the Applied Physics model program.