Coherent States for Systems ofL2-Supercritical Nonlinear Schrödinger Equations
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Publication:4916396
DOI10.1080/03605302.2012.744317zbMath1277.35295arXiv1203.4249OpenAlexW2067316656MaRDI QIDQ4916396
Publication date: 22 April 2013
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.4249
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equation with time dependent potential
- Nonlinear coherent states and Ehrenfest time for Schrödinger equation
- Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations
- A construction of the fundamental solution for the Schrödinger equation
- Remarks on convergence of the Feynman path integrals
- Adiabatic perturbation theory in quantum dynamics
- Uniform semiclassical estimates for the propagation of quantum observables.
- Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
- Geometry of the transport equation in multicomponent WKB approximations
- Mesures semi-classiques et croisement de modes
- A nonlinear adiabatic theorem for coherent states
- Twisted pseudodifferential calculus and application to the quantum evolution of molecules
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Spaces of Distributions with Weights. Multipliers inLp-spaces with Weights
- Endpoint Strichartz estimates
- Scattering amplitude for dirac operators
- Molecular propagation through electron energy level crossings
- Wigner measures and codimension two crossings
- MOLECULAR PROPAGATION THROUGH SMALL AVOIDED CROSSINGS OF ELECTRON ENERGY LEVELS
- Resolvent Estimates and Matrix-Valued Schrödinger Operator with Eigenvalue Crossings; Application to Strichartz Estimates
- Smoothing property for Schrödinger equations with potential superquadratic at infinity.
- Adiabatic decoupling and time-dependent Born-Oppenheimer theory
