Functionals and Functional Derivatives of Wave Functions and Densities

A. Gonis
2014 World Journal of Condensed Matter Physics  
It is shown that the process of conventional functional differentiation does not apply to functionals whose domain (and possibly range) is subject to the condition of integral normalization, as is the case with respect to a domain defined by wave functions or densities, in which there exists no neighborhood about a given element in the domain defined by arbitrary variations that also lie in the domain. This is remedied through the generalization of the domain of a functional to include
more » ... to include distributions in the form of
doi:10.4236/wjcmp.2014.43022 fatcat:ruqtd7oeibfqraovge5aha5k2i