LEADER 02391nam 2200577 450 001 9910828758003321 005 20170821172546.0 010 $a1-4704-0819-8 035 $a(CKB)3360000000464583 035 $a(EBL)3113920 035 $a(SSID)ssj0000973896 035 $a(PQKBManifestationID)11591780 035 $a(PQKBTitleCode)TC0000973896 035 $a(PQKBWorkID)10984711 035 $a(PQKB)10626292 035 $a(MiAaPQ)EBC3113920 035 $a(RPAM)4815771 035 $a(PPN)195412826 035 $a(EXLCZ)993360000000464583 100 $a20140905h19891989 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSemiclassical theory of shape resonances in quantum mechanics /$fP. D. Hislop and I. M. Sigal 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1989. 210 4$d©1989 215 $a1 online resource (133 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 399 300 $a"March 1989, Volume 78, Number 399 (second of 3 numbers)." 311 $a0-8218-2462-7 320 $aIncludes bibliographical references. 327 $a""Table of Contents""; ""1. Introduction""; ""List of Symbols""; ""2. The Model and the Approximate Hamiltonian""; ""3. Preliminaries: The Spectra of H[sub(0)] (I?») and H(I?»)""; ""4. The Distorted Hamiltonians""; ""5. Harmonic Approximation""; ""6. Existence of Resonances""; ""7. Exponential Decay of Eigenfunctions""; ""8. Width of the Resonances""; ""9. Comments""; ""10. Appendix A: Proof of Theorem 6.2""; ""11. Appendix B: Uniform Boundedness of the Resolvent of the Reduced Hamiltonian""; ""Supplement: The Spectra of the Distorted Hamiltonians""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 399. 606 $aSchro?dinger operator 606 $aResonance 606 $aQuantum theory 615 0$aSchro?dinger operator. 615 0$aResonance. 615 0$aQuantum theory. 676 $a530.1/2 700 $aHislop$b Peter D.$f1955-$01662437 702 $aSigal$b Israel Michael$f1945- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828758003321 996 $aSemiclassical theory of shape resonances in quantum mechanics$94019137 997 $aUNINA