His research interests include the interstellar medium, infrared astronomy, light scattering theory, applications of solid-state physics to astronomy, the early Solar System, comets, astrochemistry, the origin of life and astrobiology.
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GISAXS also shares elements of the scattering technique of diffuse reflectivity such as the Yoneda / Vinyard peak at the critical angle of the sample, and the scattering theory, the distorted wave Born approximation ( DWBA ).
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His scientific interests concern in the first place mathematical problems and methods of quantum theory, in particular, unstable systems and resonances, scattering theory, functional integration and quantum mechanics on graphs, surfaces, quantum waveguides.
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Her novel " The Quantum Rose " is an allegory to quantum scattering theory and is dedicated to her doctoral advisors and mentors in the subject, Alex Dalgarno, Kate Kirby, and Eric J . Heller.
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His research focuses on differential and integral equations, operator theory, ill-posed and inverse problems, scattering theory, functional analysis, spectral theory, numerical analysis, theoretical electrical engineering, signal estimation, and tomography.
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Heller's more recent work has focused on the study of two dimensional electron gases, quantum mirages in quantum corrals, scattering theory, few-body quantum mechanics, semiclassical methods, and freak waves in the ocean.
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A former Professor of Physics at New York University, Lippmann is mainly known for the Lippmann-Schwinger equation, a widely used tool in non-relativistic scattering theory, which he formulated together with his doctoral supervisor Julian Schwinger
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Generally in scattering theory and in particular in quantum mechanics, the "'Born approximation "'consists of taking the incident field in place of the total field as the driving field at each point in the scatterer.
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Various mathematical forms such as Gamma function, lognormal or exponential forms are usually used to model the DSD . Mie or Rayleigh scattering theory with point matching or t-matrix approach is used to calculate the scattering cross section, and specific rain attenuation.
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A simplified plane-wave single-scattering theory has been used for interpretation of EXAFS spectra for many years, although modern methods ( like FEFF, GNXAS ) have shown that curved-wave corrections and multiple-scattering effects can not be neglected.