02762nam 2200613 450 991048061520332120170822144129.01-4704-1673-5(CKB)3710000000230220(EBL)3114151(SSID)ssj0001222272(PQKBManifestationID)11723410(PQKBTitleCode)TC0001222272(PQKBWorkID)11200734(PQKB)10583411(MiAaPQ)EBC3114151(PPN)195408683(EXLCZ)99371000000023022020150417h20132013 uy 0engur|n|---|||||txtccrEffective Hamiltonians for constrained quantum systems /Jakob Wachsmuth, Stefan TeufelProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (96 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 230, Number 1083"Volume 230, Number 1083 (fifth of 5 numbers)."0-8218-9489-7 Includes bibliographical references.""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""""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""Memoirs of the American Mathematical Society ;Volume 230, Number 1083.Hamiltonian operatorQuantum theoryEigenvaluesMechanicsElectronic books.Hamiltonian operator.Quantum theory.Eigenvalues.Mechanics.530.120151539Wachsmuth Jakob1981-972488Teufel Stefan1970-MiAaPQMiAaPQMiAaPQBOOK9910480615203321Effective Hamiltonians for constrained quantum systems2211401UNINA