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Rigorous Atomic and Molecular Physics (Softcover Reprint of the Original 1st 1981)

Rigorous Atomic and Molecular Physics

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"Rigorous Atomic and Molecular Physics" by G. Velo, A.S. Wightman is a astronomy book and space science reference focused on Cosmology. Best for students, researchers, and serious astronomy enthusiasts.

One of the goals of mathematical physics is to provide a rigorous derivation of the properties of macroscopic matter starting from Schrodinger's equation. Although at the present time this objective is far from being realized, there has been striking recent progress, and the fourth "Ettore Majorana" International School of Mathematical Physics held at Erice, 1-15 June 1980 with the title Rigorous Atomic and Mqlecular Physics focussed on some of the recent advances. The first of these is the geometric method in the theory of scattering. Quantum mechanical scattering theory is an old and highly cultivated subject, but, until recently, many of its fundamental developments were technically very complicated and conceptually rather obscure. For example, one of the basic properties of a system of N particles moving under the influence of appropriately restricted short-range plus Coulomb forces is asymptotic completeness: the space of states is spanned by the bound states and scattering states. However, the proof of asymp totic. completeness for N bodies was achieved only with physically unsatisfactory restrictions on the nature of the interaction and even for N = 2 required an involved argument rather more subtle than the physical circumstances seemed to warrant. The reader will find in the present volume a very simple and physical proof of asymptotic completeness for N = 2 as well as an outline of the geometrical ideas which are currently being used to attack the problem for N > 2. (See the lectures of Enss.

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Best For: Advanced students and researchers in mathematical physics and atomic theory
Focus: Providing a rigorous mathematical approach to atomic and molecular physics based on Schrodinger's equation
Covers: Recent progress in deriving properties of macroscopic matter from fundamental quantum mechanics as discussed in the 1980 Ettore Majorana International School
Why It Matters: It addresses foundational challenges in connecting quantum mechanics to observable physical properties, contributing to the theoretical understanding of matter

"Rigorous Atomic and Molecular Physics" by G. Velo, A.S. Wightman is a astronomy book and space science reference focused on Cosmology. Best for students, researchers, and serious astronomy enthusiasts.

Topic: Cosmology

Author: G. Velo, A.S. Wightman

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.

One of the goals of mathematical physics is to provide a rigorous derivation of the properties of macroscopic matter starting from Schrodinger's equation. Although at the present time this objective is far from being realized, there has been striking recent progress, and the fourth "Ettore Majorana" International School of Mathematical Physics held at Erice, 1-15 June 1980 with the title Rigorous Atomic and Mqlecular Physics focussed on some of the recent advances. The first of these is the geometric method in the theory of scattering. Quantum mechanical scattering theory is an old and highly cultivated subject, but, until recently, many of its fundamental developments were technically very complicated and conceptually rather obscure. For example, one of the basic properties of a system of N particles moving under the influence of appropriately restricted short-range plus Coulomb forces is asymptotic completeness: the space of states is spanned by the bound states and scattering states. However, the proof of asymp totic. completeness for N bodies was achieved only with physically unsatisfactory restrictions on the nature of the interaction and even for N = 2 required an involved argument rather more subtle than the physical circumstances seemed to warrant. The reader will find in the present volume a very simple and physical proof of asymptotic completeness for N = 2 as well as an outline of the geometrical ideas which are currently being used to attack the problem for N > 2. (See the lectures of Enss.

AuthorG. Velo, A.S. Wightman
PublisherSpringer
Published2012-03-19
ISBN-139781461333524
BindingPaperback
Pages495
LanguageEnglish
SubjectsScience
TopicCosmology
SeriesNATO Science Series B:

Format: Paperback

Length: 495 pages

Language: English

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