Mastering Quantum Mechanics Part 1: Wave Mechanics

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Mastering Quantum Mechanics Part 1: Wave Mechanics

Course Details

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FREE

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edX online courses
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Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with edX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be taught by David J. Malan, a senior lecturer on computer science at Harvard University for the School of Engineering and Applied Sciences. But there's not just one professor - you have access to the entire teaching staff, allowing you to receive feedback on assignments straight from the experts. Pursue a Verified Certificate to document your achievements and use your coursework for job and school applications, promotions, and more. EdX also works with top universities to conduct research, allowing them to learn more about learning. Using their findings, edX is able to provide students with the best and most effective courses, constantly enhancing the student experience.

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Course Description

This physics course offers a sophisticated view of quantum mechanics and its proper mathematical foundation. In this first module of three you will review the basics of wave mechanics and be introduced to the variational principle. You will learn about the technology of spin one-half states and spin operators and get an in-depth look into linear algebra to establish the mathematical foundation necessary to do quantum mechanics. This course concludes by developing the bra-ket notation of Dirac.

To follow this course you will need some basic familiarity with quantum mechanics. You must have seen the Schrödinger equation and studied its solutions for the square well potential, the harmonic oscillator, and the hydrogen atom. You must be proficient in calculus and have some knowledge of linear algebra.

Completing the 3-part Mastering Quantum Mechanics series will give you the necessary foundation to pursue advanced study or res...

This physics course offers a sophisticated view of quantum mechanics and its proper mathematical foundation. In this first module of three you will review the basics of wave mechanics and be introduced to the variational principle. You will learn about the technology of spin one-half states and spin operators and get an in-depth look into linear algebra to establish the mathematical foundation necessary to do quantum mechanics. This course concludes by developing the bra-ket notation of Dirac.

To follow this course you will need some basic familiarity with quantum mechanics. You must have seen the Schrödinger equation and studied its solutions for the square well potential, the harmonic oscillator, and the hydrogen atom. You must be proficient in calculus and have some knowledge of linear algebra.

Completing the 3-part Mastering Quantum Mechanics series will give you the necessary foundation to pursue advanced study or research at the graduate level in areas related to quantum mechanics.

Part 1: Wave Mechanics,

Part 2: Quantum Dynamics

Part 3: Entanglement, and Angular Momentum.

The series will follow MIT’s on campus 8.05, the second semester of the three-course sequence on undergraduate quantum mechanics, and will be equally rigorous. 8.05 is a signature course in MIT's physics program and a keystone in the education of physics majors. 

 

Learner Testimonial

I’ve thought long and hard to come up with a better MOOC than this one (I’ve completed 25 of these things over the past 2 years) and can’t do it. 8.05x is #1 and I suspect will stay that way for some time to come.”

 “Being an engineering student from India trying to shift to Physics, I am often faced with the requirement to study topics on my own. Very often this has led me to feel inadequate. 8.05x was the perfect opportunity for me to both gain knowledge and evaluate my understanding on a high quality international platform. It has really exceeded my expectations. Now, at the end of fifteen weeks, I feel more confident and hopefully I am more knowledgeable.

Reviews 9/10 stars
5 Reviews for Mastering Quantum Mechanics Part 1: Wave Mechanics

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Wesley Jackson profile image
Wesley Jackson profile image

Wesley Jackson

10/10 starsTaking Now
2 years, 7 months ago
Great lecturer, can't wait for a rerun of this course to discuss the content. The professor actually explains it very well.
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keith vosburgh profile image
keith vosburgh profile image

keith vosburgh

9/10 starsTaking Now
2 years, 7 months ago
when is the next course available. I wish to join immediately. I may not have the paper qualifications but have self researched and taught myself for many years. I have writing many realistic theories that could break even more barriers and want to be taken serious. I own a company but this is my passion and want to be a legit part of the community.
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Student profile image

Student

10/10 starsCompleted
2 years, 12 months ago
I highly recommend the course for everyone who wants to have a deeper theoretical understanding of Quantum Mechanics with only preliminary QM knowledge: Myself I did have Physics as a minor with a Mathematics major 25 years ago. All the years I wanted to have a better understanding of QM in terms of the deeper principles underlying the phenomenons described in introductory courses and popular science literature: This course provided a sound mathematical basis of principles of QM, and doing so without requiring more than one or two years college mathematics, everything else beyond that was included in the lecture (although I skipped most of the maths stuff, I guess non-mathematics majors might welcome this). All of the course contents were explained in an easy to understand manner with the exercises as valuable expositions of mathematical techniques (instead of pure repetitions as it is often the case in other courses), without compr... I highly recommend the course for everyone who wants to have a deeper theoretical understanding of Quantum Mechanics with only preliminary QM knowledge: Myself I did have Physics as a minor with a Mathematics major 25 years ago. All the years I wanted to have a better understanding of QM in terms of the deeper principles underlying the phenomenons described in introductory courses and popular science literature: This course provided a sound mathematical basis of principles of QM, and doing so without requiring more than one or two years college mathematics, everything else beyond that was included in the lecture (although I skipped most of the maths stuff, I guess non-mathematics majors might welcome this). All of the course contents were explained in an easy to understand manner with the exercises as valuable expositions of mathematical techniques (instead of pure repetitions as it is often the case in other courses), without compromising scientific rigor. Thus these courses will give you also a great start for further studies in this area!
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A Luceno profile image
A Luceno profile image

A Luceno

10/10 starsCompleted
3 years, 2 months ago
MITx courses 8.05.1x,8.05.2x, and 8.05.3x were formerly offered in a single block. The three parts of this material provide an extremely good approach to the theory of Quantum Mechanics. The notes for the courses are very precise and it is impossible to find a single typo (or nearly so). Some of the exercises are hard to solve. Exams are somewhat easier. In my opinion these courses would benefit a lot by providing some examples of applications and some more intuitive additional comments in selected places. Although not in MITx, I would recommend to consider taking Utokyo003 about Quantum Mechanics of Molecular Structures, which provides very interesting examples of application of Quantum Mechanics to determine and explain shape, dimensions, and other properties of molecules.
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Mark Weitzman profile image
Mark Weitzman profile image

Mark Weitzman

10/10 starsCompleted
3 years, 7 months ago
I was a CTA (community teaching assistant) for the course when first offered, and will be back in a limited capacity for the new run. This course was taught by an excellent lecturer, the notes provided (over 400 pages for the whole course) were in many ways superior to the usual quantum mechanics textbooks, and covered many topics that are usually not emphasized. The problems/exercises were challenging, and constituted both a good review of the material, as well as an excellent way for gaining calculation skills both in quantum mechanics and in theoretical physics. Even as Caltech alumni I highly recommend this MIT course.
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