Mathematics for aspiring physicists

IAP 2021

Lecture 12


3.4 Scalar fields in higher dimensions

3.4.1 Locality, uniformity, and isotropy

 

3.4.2 Can you hear the shape of a drum?

3.4.3 Normal modes with a rectangular frame

3.4.4  Radial Laplacian on a circle

3.4.5   Circularly symmetric normal modes

3.4.6   Planar and circular travelling waves

Recap  

(Combined notes for lecture 12)

Exercises:  


MathPhys lec12 - last update 1/1/21 by M. Kardar