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Publication:3765289
zbMath0628.70017MaRDI QIDQ3765289
Publication date: 1987
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1987__47_1_63_0
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perturbation theoryperturbative stabilityquantum stability problemone-dimensional harmonic oscillatorconvergence methodinfinite diagonal matricesquantum mechanical quadrupole radio-frequency traptime- periodic operators
Perturbation theories for operators and differential equations in quantum theory (81Q15) Hamiltonian and Lagrangian mechanics (70H99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pure point spectrum for discrete almost periodic Schrödinger operators
- The imbedding problem for Riemannian manifolds
- Examples of discrete Schrödinger operators with pure point spectrum
- A metal-insulator transition for the almost Mathieu model
- Localization in \(\nu\)-dimensional incommensurate structures
- Non-recurrent behaviour in quantum dynamics
- Scattering theory for Schrödinger equation with potential periodic in time
- Spectral behavior of quasi periodic potentials
- Stable and Random Motions in Dynamical Systems
- Integrability of hamiltonian systems on cantor sets
- On the stability of dense point spectrum for self-adjoint operators
- Singular continuous spectrum for a class of almost periodic Jacobi matrices
- Generalized implicit function theorems with applications to some small divisor problems, I
- Generalized implicit function theorems with applications to some small divisor problems, II
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
