Variational theory of soliplasmon resonances

Mathematical Theory of Resonances

The resonance counting function for Schrödinger operators HV = −∆ + V on L(R), for d ≥ 1, with compactly-supported, realor complex-valued potentials V is known to be bounded above by CV (r +1). The main result is that for a dense Gδ-set of such potentials, the resonance counting functions have the maximal order of growth d. For the even dimensional case, it is shown that the resonance counting ...

Mathematical Theory of Scattering Resonances

Variational Theory of Mixtures

In the past the variational theory of mixtures due to Mansoori and Leland has been applied successfully to the calculation of excess properties of mixtures. In the present work the origin of the variational theory is discussed along with the important applications of the theory to pure fluid and mixture properties. The advances of the theory in performing mixture calculations are reviewed and a...

Variational Transition State Theory

Transition state theory (TST) 1 is the most widely used theory for calculating rates of bimolecular eactions occurring in the gas phase and in condensed phases. TST is also incorporated into the widely used RRKM theory for unimolecular reactions. The popularity of TST is largely due to its simplicity and its usefulness for correlating trends in reaction rates in terms of easily interpreted quan...

A Time-Dependent Theory of Quantum Resonances

In this paper we further develop a general theory of metastable states resulting from perturbation of unstable eigenvalues. We apply this theory to many-body Schrödinger operators and to the problem of quasiclassical tunneling.