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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Jost Functions in Quantum Mechanics - A Unified Approach to Scattering, Bound, and Resonant State Problems (Hardcover, 1st ed. 2022)
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Jost Functions in Quantum Mechanics - A Unified Approach to Scattering, Bound, and Resonant State Problems (Hardcover, 1st ed. 2022)
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Based on Jost function theory this book presents an approach useful
for different types of quantum mechanical problems. These include
the description of scattering, bound, and resonant states, in a
unified way. The reader finds here all that is known about Jost
functions as well as what is needed to fill the gap between the
pure mathematical theory and numerical calculations. Some of the
topics covered are: quantum resonances, Regge poles, multichannel
scattering, Coulomb interaction, Riemann surfaces, multichannel
analog of the effective range theory, one- and two-dimensional
problems, many-body problems within the hyperspherical approach,
just to mention few of them. These topics are relevant in the
fields of quantum few-body theory, nuclear reactions, atomic
collisions, and low-dimensional semiconductor nanostructures. In
light of this, the book is meant for students, who study quantum
mechanics, scattering theory, or nuclear reactions at the advanced
level as well as for post-graduate students and researchers in the
fields of nuclear and atomic physics. Many of the arguments that
are traditional for textbooks on quantum mechanics and scattering
theory, are covered here in a different way, using the Jost
functions. This gives the reader a new insight into the subject,
revealing new features of various mathematical objects and quantum
phenomena.
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