LEADER 02762nam 2200613 450 001 9910480615203321 005 20170822144129.0 010 $a1-4704-1673-5 035 $a(CKB)3710000000230220 035 $a(EBL)3114151 035 $a(SSID)ssj0001222272 035 $a(PQKBManifestationID)11723410 035 $a(PQKBTitleCode)TC0001222272 035 $a(PQKBWorkID)11200734 035 $a(PQKB)10583411 035 $a(MiAaPQ)EBC3114151 035 $a(PPN)195408683 035 $a(EXLCZ)993710000000230220 100 $a20150417h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEffective Hamiltonians for constrained quantum systems /$fJakob Wachsmuth, Stefan Teufel 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$dİ2013 215 $a1 online resource (96 p.) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 230, Number 1083 300 $a"Volume 230, Number 1083 (fifth of 5 numbers)." 311 $a0-8218-9489-7 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1.1. The model""; ""1.2. Comparison with existing results""; ""Chapter 2. Main results""; ""2.1. Effective dynamics on the constraint manifold""; ""2.2. The effective Hamiltonian""; ""2.3. Approximation of eigenvalues""; ""2.4. Application to quantum wave guides""; ""Chapter 3. Proof of the main results""; ""3.1. Proof of adiabatic decoupling""; ""3.2. Pullback of the results to the ambient space""; ""3.3. Derivation of the effective Hamiltonian""; ""3.4. Proof of the approximation of eigenvalues""; ""Chapter 4. The whole story"" 327 $a""4.1. Elliptic estimates for the Sasaki metric""""4.2. Expansion of the Hamiltonian""; ""4.3. Construction of the superadiabatic subspace""; ""Appendix A. Geometric definitions and conventions""; ""A.1. Manifolds of bounded geometry""; ""A.2. The geometry of submanifolds""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 230, Number 1083. 606 $aHamiltonian operator 606 $aQuantum theory 606 $aEigenvalues 606 $aMechanics 608 $aElectronic books. 615 0$aHamiltonian operator. 615 0$aQuantum theory. 615 0$aEigenvalues. 615 0$aMechanics. 676 $a530.120151539 700 $aWachsmuth$b Jakob$f1981-$0972488 702 $aTeufel$b Stefan$f1970- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480615203321 996 $aEffective Hamiltonians for constrained quantum systems$92211401 997 $aUNINA