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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Inverse Problems in Quantum Scattering Theory (Paperback, 2nd ed. 1989. Softcover reprint of the original 2nd ed. 1989)
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Inverse Problems in Quantum Scattering Theory (Paperback, 2nd ed. 1989. Softcover reprint of the original 2nd ed. 1989)
Series: Theoretical and Mathematical Physics
Expected to ship within 10 - 15 working days
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The normal business of physicists may be schematically thought of
as predic ting the motions of particles on the basis of known
forces, or the propagation of radiation on the basis of a known
constitution of matter. The inverse problem is to conclude what the
forces or constitutions are on the basis of the observed motion. A
large part of our sensory contact with the world around us depends
on an intuitive solution of such an inverse problem: We infer the
shape, size, and surface texture of external objects from their
scattering and absorption of light as detected by our eyes. When we
use scattering experiments to learn the size or shape of particles,
or the forces they exert upon each other, the nature of the problem
is similar, if more refined. The kinematics, the equations of
motion, are usually assumed to be known. It is the forces that are
sought, and how they vary from point to point. As with so many
other physical ideas, the first one we know of to have touched upon
the kind of inverse problem discussed in this book was Lord
Rayleigh (1877). In the course of describing the vibrations of
strings of variable density he briefly discusses the possibility of
inferring the density distribution from the frequencies of
vibration. This passage may be regarded as a precursor of the
mathematical study of the inverse spectral problem some seventy
years later."
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