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Approximation Methods
  • Level Professional
  • المدة 14 ساعات hours
  • الطبع بواسطة University of Colorado Boulder
  • Offered by

عن

This course can also be taken for academic credit as ECEA 5612, part of CU Boulder’s Master of Science in Electrical Engineering degree. This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational method and the use of finite basis set. In each case, a specific example is given to clearly show how the method works. At the end of this course learners will be able to: 1. use time-dependent perturbation theory to obtain first- and second -order corrections to energies and wavefunctions, 2. use time-dependent perturbation theory and obtain transition rates, and 3. use tight binding method, variational method and finite basis set to obtain approximate solutions of various quantum mechanics problems.

الوحدات

Introduction to Course 3 Approximation Methods

    • 1 Videos
    • 1 Readings
    • 1 Discussion
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1 Discussions

  • Introduce Yourself!

1 Videos

  • Course Introduction

1 Readings

  • Suggested textbooks

Lectures

    • 7 Videos
    • 1 Readings
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7 Videos

  • Non-degenerate Perturbation Theory
  • Second Order Correction
  • Stark Effect
  • k-dot-p Method
  • Degenerate Perturbation Theory
  • Fine Structure
  • Zeeman Effect

1 Readings

  • Module Topics

Homework

    • 2 Readings
    • 1 Quiz
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2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #1

Discussion

    • 1 Discussion
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1 Discussions

  • Two-state System

Lectures

    • 5 Videos
    • 1 Readings
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5 Videos

  • Interaction Picture
  • Time-dependent Two-state Problem
  • Time-dependent Perturbation Theory
  • Transition Probability 1
  • Transition Probability 2

1 Readings

  • Module Topics

Peer review problem

    • 1 PeerReview
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1 Peer Review

  • Rabi oscillation

Homework

    • 2 Readings
    • 1 Quiz
Show info about module content

2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #2

Lectures

    • 3 Videos
    • 1 Readings
Show info about module content

3 Videos

  • Variational Method
  • Tight Binding Method
  • Finite Basis Set

1 Readings

  • Module Topics

Discussion

    • 1 Discussion
Show info about module content

1 Discussions

  • Use of Finite Basis

Homework

    • 2 Readings
    • 1 Quiz
Show info about module content

2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #3

Auto Summary

Explore the "Approximation Methods" course, ideal for Science & Engineering enthusiasts. Led by CU Boulder's expert faculty, this course dives into quantum mechanics' approximation techniques such as perturbation theory, tight binding, and variational methods. Perfect for professionals, it offers hands-on examples and practical applications. Available on Coursera with Starter and Professional subscription options, this 840-minute course is also part of CU Boulder's Master's in Electrical Engineering program.

Wounjhang Park
Instructor

Wounjhang Park