02391nam 2200577 450 991082875800332120170821172546.01-4704-0819-8(CKB)3360000000464583(EBL)3113920(SSID)ssj0000973896(PQKBManifestationID)11591780(PQKBTitleCode)TC0000973896(PQKBWorkID)10984711(PQKB)10626292(MiAaPQ)EBC3113920(RPAM)4815771(PPN)195412826(EXLCZ)99336000000046458320140905h19891989 uy 0engur|n|---|||||txtccrSemiclassical theory of shape resonances in quantum mechanics /P. D. Hislop and I. M. SigalProvidence, Rhode Island :American Mathematical Society,1989.©19891 online resource (133 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 399"March 1989, Volume 78, Number 399 (second of 3 numbers)."0-8218-2462-7 Includes bibliographical references.""Table of Contents""; ""1. Introduction""; ""List of Symbols""; ""2. The Model and the Approximate Hamiltonian""; ""3. Preliminaries: The Spectra of H[sub(0)] (λ) and H(λ)""; ""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""; ""References""Memoirs of the American Mathematical Society ;Number 399.Schrödinger operatorResonanceQuantum theorySchrödinger operator.Resonance.Quantum theory.530.1/2Hislop Peter D.1955-1662437Sigal Israel Michael1945-MiAaPQMiAaPQMiAaPQBOOK9910828758003321Semiclassical theory of shape resonances in quantum mechanics4019137UNINA