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Quantum Mechanics for Scientists and Engineers 1

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Free Online Course: Quantum Mechanics for Scientists and Engineers 1 provided by edX is a comprehensive online course, which lasts for 9 weeks long, 5-10 hours a week. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from edX. Quantum Mechanics for Scientists and Engineers 1 is taught by David Miller.

Stanford University via edX
9 weeks long, 5-10 hours a week
Self Paced
Overview

  • This 9 week course aims to teach quantum mechanics to anyone with a reasonable college-level understanding of physical science or engineering. Quantum mechanics was once mostly of interest to physicists, chemists and other basic scientists. Now the concepts and techniques of quantum mechanics are essential in many areas of engineering and science such as materials science, nanotechnology, electronic devices, and photonics.

    This course is a substantial introduction to quantum mechanics and how to use it. It is specifically designed to be accessible not only to physicists but also to students and technical professionals over a wide range of science and engineering backgrounds.

Syllabus

  • Introduction to quantum mechanics

    How quantum mechanics is important in the everyday world, the bizarre aspects and continuing evolution of quantum mechanics, and how we need it for engineering much of modern technology.

    Schroedinger’s wave equation

    Getting to Schroedinger’s wave equation. Key ideas in using quantum mechanical waves — probability densities, linearity. The "two slit" experiment and its paradoxes.

    Getting "quantum" behavior

    The "particle in a box", eigenvalues and eigenfunctions. Mathematics of quantum mechanical waves.

    Quantum mechanics of systems that change in time

    Time variation by superposition of wave functions. The harmonic oscillator. Movement in quantum mechanics — wave packets, group velocity and particle current.

    Measurement in quantum mechanics

    Operators in quantum mechanics — the quantum-mechanical Hamiltonian. Measurement and its paradoxes — the Stern-Gerlach experiment.

    Writing down quantum mechanics simply

    A simple general way of looking at the mathematics of quantum mechanics — functions, operators, matrices and Dirac notation. Operators and measurable quantities. The uncertainty principle.

    The hydrogen atom

    Angular momentum in quantum mechanics — atomic orbitals. Quantum mechanics with more than one particle. Solving for the the hydrogen atom. Nature of the states of atoms.

    How to solve real problems

    Approximation methods in quantum mechanics.

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