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Semiclassical Theory of Shape Resonances in Quantum Mechanics
eBook ISBN: | 978-1-4704-0819-0 |
Product Code: | MEMO/78/399.E |
List Price: | $23.00 |
MAA Member Price: | $20.70 |
AMS Member Price: | $13.80 |
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Semiclassical Theory of Shape Resonances in Quantum Mechanics
eBook ISBN: | 978-1-4704-0819-0 |
Product Code: | MEMO/78/399.E |
List Price: | $23.00 |
MAA Member Price: | $20.70 |
AMS Member Price: | $13.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 78; 1989; 123 ppMSC: Primary 81; Secondary 35; 47
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Table of Contents
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Chapters
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1. Introduction
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2. The model and the approximate Hamiltonian
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3. Preliminaries: The spectra of $H_0(\lambda )$ and $H(\lambda )$
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4. The distorted Hamiltonians
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5. Harmonic approximation
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6. Existence of resonances
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7. Exponential decay of eigenfunctions
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8. Width of the resonances
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9. Comments
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10. Appendix A. Proof of Theorem 6.2
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11. Appendix B. Uniform boundedness of the resolvent of the reduced Hamiltonian
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Supplement. The spectra of the distorted Hamiltonians
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 78; 1989; 123 pp
MSC: Primary 81; Secondary 35; 47
-
Chapters
-
1. Introduction
-
2. The model and the approximate Hamiltonian
-
3. Preliminaries: The spectra of $H_0(\lambda )$ and $H(\lambda )$
-
4. The distorted Hamiltonians
-
5. Harmonic approximation
-
6. Existence of resonances
-
7. Exponential decay of eigenfunctions
-
8. Width of the resonances
-
9. Comments
-
10. Appendix A. Proof of Theorem 6.2
-
11. Appendix B. Uniform boundedness of the resolvent of the reduced Hamiltonian
-
Supplement. The spectra of the distorted Hamiltonians
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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