info:eu-repo/semantics/article
Exceptional point in a simple textbook example
Fecha
2018-05Registro en:
Fernández, Francisco Marcelo; Exceptional point in a simple textbook example; IOP Publishing; European Journal of Physics; 39; 4; 5-2018; 1-7
0143-0807
CONICET Digital
CONICET
Autor
Fernández, Francisco Marcelo
Resumen
We propose to introduce the concept of exceptional points in intermediate courses on mathematics and classical mechanics by means of simple textbook examples. The first one is an ordinary second-order differential equation with constant coefficients. The second one is the well-known damped harmonic oscillator. From a strict mathematical viewpoint both are the same problem that enables one to connect the occurrence of linearly dependent exponential solutions with a defective matrix which cannot be diagonalized but can be transformed into a Jordan canonical form.