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" Multiparticle quantum scattering in constant magnetic fields / "
Christian Gérard, Izabella Łaba.
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BL
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| Record Number
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700464
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| Doc. No
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b522653
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| Main Entry
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Gérard, Christian,1960-
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| Title & Author
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Multiparticle quantum scattering in constant magnetic fields /\ Christian Gérard, Izabella Łaba.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2002.
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| Series Statement
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Mathematical surveys and monographs,; no. 90
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| Page. NO
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xiii, 242 p. :: ill. ;; 26 cm.
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| ISBN
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082182919X (alk. paper)
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: 9780821829196 (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 235-239) and index.
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| Contents
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Machine generated contents note: Chapter 1. Fundamentals 1 -- 1.1. Introduction 2 -- 1.2. Hamiltonians 9 -- 1.3. Reducing transformations 21 -- 1.4. Bound, and scattering states 36 -- Chapter 2. Geometrical Methods I 45 -- 2.1. N-body geometry 46 -- 2.2. Channel Hamiltonians 50 -- 2.3. Partitions of unity 54 -- Chapter 3. The Mourre Theory 65 -- 3.1. Local inequalities for operators 68 -- 3.2. Basics of the Mourre theory 71 -- 3.3. The strongly charged case 74 -- 3.4. Analytically fibered operators 80 -- 3.5. Two-particle neutral systems 84 -- 3.6. Dispersive channels 94 -- 3.7. Three-dimensional dispersive systems 104 -- 3.8. Two-dimensional dispersive systems 141 -- Chapter 4. Basic Propagation Estimates 143 -- 4.1. Preliminaries 144 -- 4.2. Asymptotic energy and maximal velocity estimates 150 -- 4.3. Asymptotic velocity along the field 152 -- 4.4. Minimal velocity estimates 155 -- Chapter 5. Geometrical Methods II 167 -- 5.1. The center of orbit observable 168 -- 5.2. Admissible functions 172 -- 5.3. Propagation estimates in the transversal direction 184 -- Chapter 6. Wave Operators and Scattering Theory 201 -- 6.1. Introduction 201 -- 6.2. Channel identification operators 205 -- 6.3. Three-dimensional charged systems 206 -- 6.4. Three-dimensional dispersive systems 213 -- 6.5. Two-dimensional charged systems 221 -- 6.6. Two-dimensional systems with neutral pairs 223 -- Chapter 7. Open Problems 227 -- Chapter 8. Appendix 231.
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| Subject
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Few-body problem.
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| Subject
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Magnetic fields.
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Quantum scattering.
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| LC Classification
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QC20.7.S3G47 2002
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| Added Entry
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Łaba, Izabella,1966-
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