The virial theorem and ground state energy estimate of nonlinear Schrödinger equations in ${\mathbb{R}}^2$ with square root and saturable nonlinearities in nonlinear optics

Tai-Chia Lin, Milivoj R. Belic, Milan S. Petrovic +2

The virial theorem is a nice property for the linear Schrodinger equation in atomic and molecular physics as it gives an elegant ratio between the kinetic and potential energies an…