منابع مشابه
Time Domain Born Approximation
The time domain Born approximation for ultrasonic scattering from volume flaws in an elastic medium is described. Results are given both for the direct and the inverse problem. The time domain picture leads to simple intuitive formulas which we illustrate by means of several simple examples. Particular emphasis is given to the front surface echo and its use in reconstructing the properties of t...
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Diffuse optical tomography is an emerging technique for non-invasively measuring in vivo tissue optical properties. The next generation of DOT time domain imaging systems will allow researchers to create three-dimensional (3D) images of blood volume and oxygenation with unprecedented spatial resolution. We consider common semi-infinite and slab geometries, in the Born approximation to the diffu...
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We give a general reduction scheme for the study of the quantum propagator of molecular Schrr odinger operators with smooth potentials. This reduction is made up to innnitely (resp. exponentially) small error terms with respect to the inverse square root of the mass of the nuclei, depending on the C 1 (resp. analytic) smoothness of the interactions. Then we apply this result to the case when an...
متن کاملThe Born-Oppenheimer Approximation
where R is the set of nuclear coordinates and r is the set of electronic coordinates. If spin-orbit effects are important, they can be added through a spin-orbit operator Ĥso. Unfortunately, the V̂eN(r,R) term prevents us from separating Ĥ into nuclear and electronic parts, which would allow us to write the molecular wavefunction as a product of nuclear and electronic terms, Ψ(r,R) = Ψ(r)χ(R). W...
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ژورنال
عنوان ژورنال: Journal of Nondestructive Evaluation
سال: 1982
ISSN: 0195-9298,1573-4862
DOI: 10.1007/bf00566954