Geometrical connection between the VFM and the JWKB method

Abstract

Previous paragraphs were devoted to discussing several functional energy representations of physical systems, through the generalization of semiclassical relationships, and the Heisenberg inequalities or the de Broglie hypothesis. It has been shown that all these approximations lead to eigenvalues depending on quantum numbers and parameters contained within the Hamiltonian, similarly to those obtained via the JWKB method and the variational theorem /1–13/ (see Chapter VI).