PPT Slide

heat operator

Rn ? = ?12 + … + ?12

?t - ?

i?t + ?

Schrödinger operator

Rn+1

= - ?t2 + ?

(M, g) g ? g

Variational principle

How to generate interesting PDEs

Lagrangeian

Hamiltonian

Symmetries of the Lagrangeian ? Conservation Laws

Euclidian Space:

Minkowski Space:

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