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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Many-Body Schrödinger Equation
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Many-Body Schrödinger Equation
Hiroshi Isozaki (Broschiert, Englisch)
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Beschreibung
Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N -body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N -body problem.… However, many problems are left open for the stationary N -particle equation. Due to the recent rapid development of computer power, it is now possible to compute the three-body scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for N -body Schrödinger operators remains an important problem of quantum mechanics. It is stressed here that for the three-body problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the N -body problem from both the time-dependent and stationary viewpoints. The main themes are:(1) The Mourre theory for the resolvent of self-adjoint operators(2) Two-body Schrödinger operators—Time-dependent approach and stationary approach(3) Time-dependent approach to N -body Schrödinger operators(4) Eigenfunction expansion theory for three-body Schrödinger operatorsCompared with existing books for the many-body problem, the salient feature of this book consists in the stationary scattering theory (4). The eigenfunction expansion theorem is the physical basis of Schrödinger operators. Recently, it proved to be the basis of inverse problems of quantum scattering. This book provides necessary background information to understand the physical and mathematical basis of Schrödinger operators and standard knowledge for future development. 160,49 €
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Technische Daten
Erscheinungsdatum
29.07.2024
Sprache
Englisch
EAN
9789819937066
Herausgeber
Springer Singapore
Serien- oder Bandtitel
Mathematical Physics Studies
Sonderedition
Nein
Autor
Hiroshi Isozaki
Seitenanzahl
399
Auflage
1
Einbandart
Broschiert
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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