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In this program

Heat, wave, and Schrödinger equations
Green's functions
Fundamental solutions
Bessel and Legendre equations
Hermite functions in separation of variables
Distribution theory for physics (Dirac delta, introduction)
Scattering theory (introduction)

PDEs and special functions in physics

Hermite functions in separation of variables

Mathematical physics · Standard syllabus

Topic

Hermite functions in separation of variables

Practice by unit: PDEs and special functions in physics

Graduate Mathematical Physics — scope drawn from open mathematical physics notes and typical US graduate mathematical physics syllabi.

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