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Semiclassical Theory of Shape Resonances in Quantum Mechanics
 
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
Semiclassical Theory of Shape Resonances in Quantum Mechanics
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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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 781989; 123 pp
    MSC: Primary 81; Secondary 35; 47
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    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
Volume: 781989; 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
Please select which format for which you are requesting permissions.