Quantum Mechanics
Coursera
Course 2 of Statistical Thermodynamics presents an introduction to quantum mechanics at a level appropriate for those with mechanical or aerospace engineering backgrounds. Using a postulatory approach that describes the steps to follow, the Schrodinger wave equation is derived and simple solutions obtained that illustrate atomic and molecular structural behavior. More realistic behavior is also explored along with modern quantum chemistry numerical solution methods for solving the wave equation.
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MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Quantum Physics III (MIT 8.06)
Continues 8.05 with model systems of contemporary physics: perturbation theory, fine structure of hydrogen, two-dimensional electron systems, WKB approximation, lasers and particle scattering. 100 lecture videos, lecture notes, problem sets and projects equip learners to apply approximation methods to real quantum systems.
Quantum Physics II (MIT 8.05)
The general formalism of quantum mechanics: Dirac notation, the harmonic oscillator, three-dimensional problems, angular momentum, spin, and addition of angular momentum. 26 lecture videos, detailed lecture notes that became Zwiebach's Mastering Quantum Mechanics, problem sets and exams.
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Quantum Physics I (MIT 8.04)
The experimental basis of quantum physics, wave mechanics, and the Schrödinger equation in one and three dimensions. 24 lecture videos, lecture notes, exams, and problem sets with solutions prepare learners to solve standard quantum systems and continue to 8.05.
PSI 2011/12: Quantum Theory
Fifteen recorded lectures from the Quantum Theory core course of the 2011/12 Perimeter Scholars International master's programme, given by Adrian Kent with Lucien Hardy and Rafael Sorkin. Suited to viewers wanting a graduate-level second pass through quantum theory after an undergraduate course.