Portal de Periódicos da CAPES

Sturm–Liouville Problems

2020; Springer International Publishing; Linguagem: Inglês

10.1007/978-3-030-49274-8_5

2192-4740

Gianpietro Cossali, Simona Tonini,

Cold Atom Physics and Bose-Einstein Condensates

In Chap. 3 we have seen how the separability of PDEs leads to ordinary differential equations problems, usually of second order. The problem is complemented with B.C.s and the reduction of the initial PDE to second order ODEs often yield a so-called Sturm–Liouville (SL) problem (named after the French mathematicians Jacques Charles François Sturm, 1803–1855, and Joseph Liouville, 1809–1882).