VARIATIONAL FORMULATION OF EISENHART'S UNIFIED THEORY

A Unified Formulation of Nuclear Fluctuation Theory

The statistical theory of fluctuations was initiated by ERICSON 1 in 1960 in the appendix of his review article on the statistical model of the compound nucleus. This was at a time when nuclear fluctuations had not yet been observed or recognized as such in scattering experiments. ERICSON pointed out that the excitation functions and angular distributions of nuclear reactions involving a compou...

Variational Formulation of Problems and Variational Methods

Transition state theory: variational formulation, dynamical corrections, and error estimates.

Transition state theory (TST) is revisited, as well as evolutions upon TST such as variational TST in which the TST dividing surface is optimized so as to minimize the rate of recrossing through this surface and methods which aim at computing dynamical corrections to the TST transition rate constant. The theory is discussed from an original viewpoint. It is shown how to compute exactly the mean...

Matrix product variational formulation for lattice gauge theory

For hamiltonian lattice gauge theory, we introduce the matrix product anzats inspired from density matrix renormalization group. In this method, wavefunction of the target state is assumed to be a product of finite matrices. As a result, the energy becomes a simple function of the matrices, which can be evaluated using a computer. The minimum of the energy function corresponds to the vacuum sta...

A Unified Variational Formulation for the Parabolic-Elliptic Eddy Current Equations

Transient excitation currents generate electromagnetic fields which, in turn, induce electric currents in proximal conductors. For slowly varying fields, this can be described by the eddy current equations, which are obtained by neglecting the dielectric displacement currents in Maxwell’s equations. The eddy current equations are of parabolic-elliptic type: In insulating regions, the field inst...