20410410 - FM310 - Equations of Mathematical Physics

To acquire a good knowledge of the elementary theory of partial differential equations and of the basic methods of solution, with particular focus on the equations describing problems in mathematical physics.
teacher profile | teaching materials


Evolution equations of Mathematical Physics: transport, wave and heat equations. Introduction to quantum mechanics. Fourier transform

Core Documentation

[B] P. Butta', Note del corso di Fisica Matematica
[Cr] W. Craig, A course on Partial Differential Equations
[L1] V. Lubicz, Apppunti di Meccanica Quantistica

Reference Bibliography

[B] A. Bohm, Quantum Mechanics - Foundations and Applications [Co] M. Correggi, Aspetti Matematici della Meccanica Quantistica [T] L. Takhtajan, Quantum Mechanics for Mathematicians

Type of delivery of the course

Classes will be held regularly on campus. However they will also be available online and recorded.


Attendance is not mandatory but strongly suggested

Type of evaluation

The exam consists in a written test, possibily split into two midterms, and in an oral exam in which the student will discuss the material presented in class

teacher profile | teaching materials


Introduction to the study of partial derivative equations in mathematical physics. Wave equation: transport; wavefront; conservation laws; Duhamel's principle. Heat equation: heat core; maximum principle; entropy. Introduction to quantum mechanics: historical background, free Schroedinger equation, Stern-Garlach experiment, postulates of quantum mechanics, properties of Hilbert spaces, harmonic oscillator.