40 citations · 200 across the 15 of their papers we have counts for
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The second hyperpolarizability of systems described by the space-fractional Schrodinger equation
Nathan J. Dawson, Onassis Nottage, Moussa Kounta
The static second hyperpolarizability is derived from the space-fractional Schrödinger equation in the particle-centric view. The Thomas-Reiche-Kuhn sum rule matrix elements and th…
Static hyperpolarizability of space-fractional quantum systems
Nathan J. Dawson
The nonlinear response is investigated for a space-fractional quantum mechanical system subject to a static electric field. Expressions for the polarizability and hyperpolarizabili…
Polynomial potentials determined from the energy spectrum and transition dipole moments that give the largest hyperpolarizabilities
Nathan J. Dawson, Mark G. Kuzyk
We attempt to get a polynomial solution to the inverse problem, that is, to determine the form of the mechanical Hamiltonian when given the energy spectrum and transition dipole mo…
Lowest-order relativistic corrections to the fundamental limits of nonlinear-optical coefficients
Nathan J. Dawson
The effects of small relativistic corrections to the off-resonant polarizability, hyperpolarizability, and second hyperpolarizability are investigated. Corrections to linear and no…