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A free and open online publication of educational material from thousands of MIT courses, covering the entire MIT curriculum, ranging from introductory to the most advanced graduate courses. On the OCW website, each course includes a syllabus, instructional material like notes and reading lists, and learning activities like assignments and solutions. Some courses also have videos, online textbooks, and faculty insights on teaching. Knowledge is your reward. There's no signup or enrollment, and no start or end dates. OCW is self-paced learning at its best. Whether you’re a student, a teacher, or simply a curious person that wants to learn, MIT OpenCourseWare (OCW) offers a wealth of insight, inspiration, videos, and a whole lot more! Get the full picture on the OCW website at https://ocw.mit.edu. Accessibility: https://accessibility.mit.edu/ User comments policy: https://ocw.mit.edu/comments/ (Channel banner photo by Nietnagel on Flickr: https://flic.kr/p/8WXxfK.)
Episodes


Harmonic oscillator: Differential equation

Motion of a wave-packet

Infinite square well energy eigenstates

Local picture of the wavefunction

Stationary states: key equations

The frequency of a matter wave

Defining uncertainty

Behavior of the differential equation

Consistency condition. Particle on a circle

Quantization of the energy

Completeness of eigenvectors and measurement postulate

Expectation value of Hermitian operators

Normalizable wavefunctions and the question of time evolution

Nondegeneracy of bound states in 1D. Real solutions

The general Schrödinger equation. x, p commutator

Nodes and symmetries of the infinite square well eigenstates

Expectation values of operators

Shape changes in a wave

Energy eigenstates for particle on a circle
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