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Lecture 8: Translation Symmetry

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Lecture Topics

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* Symmetry
* Infinitely long system
* Boundary conditions
* Wave equations

Lecture Video: Translation Symmetry

Prof. Lee introduces the concept of “boundary conditions” which enables us to solve a finite system using the general solution of an infinitely long system. In the end of the lecture, a wave equation is derived in the continuous limit.

Lecture Notes

This resource may not render correctly in a screen reader.Typed Notes for Lecture 8 (PDF - 1.2MB)

This resource may not render correctly in a screen reader.Handwritten Notes for Lecture 8 (PDF - 1.9MB)

Textbook Reading

Chapter 5: Waves (PDF - 1.4MB) (section 5.3 to end) 

Chapter 6: Continuum Limit and Fourier Series (PDF - 1.2MB) (through section 6.1) 

In-class Demonstrations

HOW IT’S DONE SEE IT IN THE LECTURE
Bell Labs Wave Machine

Video: Wave on a String from PhET Interactive Simulations project at the University of Colorado Boulder

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