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Direct and Inverse Problems: Potentials in Quantum Scattering (Softcover Reprint of the Original 1st 1990)

Direct and Inverse Problems

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"Direct and Inverse Problems" by Boris Nikolaevich Zakharʹev, Allina Alekseevna Suzʹko is a astronomy book and space science reference focused on Cosmology. Best for students, researchers, and serious astronomy enthusiasts.

Rapid progress in quantum theory brings us new important results which are often not immediately clear to all who need them. But fortunately, this is also followed by simplifications and unifications of our previous concepts. The inverse problem method ("The most beautiful idea of the XX-th century" - Zakharov et aI., 1980) has just both these aspects. It is rather astonishing that it took 50 years after the foundation of quantum mechanics for the creation of the "pictures" showing the direct connection of obser vables with interactions. Recently, illustrations of this type began to appear in the literature (e. g., how potentials are deformed with thc shift of one energy level or change of some resonance reduced width). Although they are transparent to those studying the quantum world and can be included within the necessary elements of quantum literacy, they are still largely unknown even to many specialists. For the first time, the most interesting of these pictures enriching our quantum intuition are col lected here and placed at your disposal. The readers of this monograph have the advantage of getting the latest information which became available after the publication of the Russian edition. It has been incor porated here in the simplest presentation possible. For example, new sections con cerning exactly solvable models, including the multi-channel, multi-dimensional ones and with time dependent potentials have been added. The first attempts in solving the three-body inverse problem are also mentioned.

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Best For: Advanced physics students and researchers interested in quantum scattering theory
Focus: Theoretical methods involving direct and inverse problems related to potentials in quantum scattering
Covers: Mathematical frameworks and applications of inverse problem methods in quantum mechanics
Why It Matters: Provides insight into a significant method that simplifies and unifies concepts in quantum theory, reflecting progress in understanding quantum scattering potentials

"Direct and Inverse Problems" by Boris Nikolaevich Zakharʹev, Allina Alekseevna Suzʹko is a astronomy book and space science reference focused on Cosmology. Best for students, researchers, and serious astronomy enthusiasts.

Topic: Cosmology

Author: Boris Nikolaevich Zakharʹev, Allina Alekseevna Suzʹko

Who this is for:

  • Astronomy students
  • Researchers and advanced hobbyists
  • Readers exploring space science topics

Why this book matters: It matters because it helps readers build a stronger understanding of astronomy concepts, observations, and scientific ideas related to space.

Rapid progress in quantum theory brings us new important results which are often not immediately clear to all who need them. But fortunately, this is also followed by simplifications and unifications of our previous concepts. The inverse problem method ("The most beautiful idea of the XX-th century" - Zakharov et aI., 1980) has just both these aspects. It is rather astonishing that it took 50 years after the foundation of quantum mechanics for the creation of the "pictures" showing the direct connection of obser vables with interactions. Recently, illustrations of this type began to appear in the literature (e. g., how potentials are deformed with thc shift of one energy level or change of some resonance reduced width). Although they are transparent to those studying the quantum world and can be included within the necessary elements of quantum literacy, they are still largely unknown even to many specialists. For the first time, the most interesting of these pictures enriching our quantum intuition are col lected here and placed at your disposal. The readers of this monograph have the advantage of getting the latest information which became available after the publication of the Russian edition. It has been incor porated here in the simplest presentation possible. For example, new sections con cerning exactly solvable models, including the multi-channel, multi-dimensional ones and with time dependent potentials have been added. The first attempts in solving the three-body inverse problem are also mentioned.

AuthorBoris Nikolaevich Zakharʹev, Allina Alekseevna Suzʹko
PublisherSpringer
Published1990
ISBN-139783540524847
BindingPaperback
Pages246
LanguageEnglish
SubjectsScience
TopicCosmology

Format: Paperback

Length: 246 pages

Language: English

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