Multidimensional Schrödinger equations with Abelian potentials
نویسندگان
چکیده
منابع مشابه
Schrödinger Operators with Singular Potentials †
We describe classical and recent results on the spectral theory of Schrödinger and Pauli operators with singular electric and magnetic potentials
متن کاملSchrödinger operators with oscillating potentials ∗
Schrödinger operators H with oscillating potentials such as cos x are considered. Such potentials are not relatively compact with respect to the free Hamiltonian. But we show that they do not change the essential spectrum. Moreover we derive upper bounds for negative eigenvalue sums of H.
متن کاملNumerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials
By extending the Bloch-decomposition based time-splitting spectral method we introduced earlier, we conduct numerical simulations of the dynamics of nonlinear Schrödinger equations subject to periodic and confining potentials. We consider this system as a two-scale asymptotic problem with different scalings of the nonlinearity. In particular we discuss (nonlinear) mass transfer between differen...
متن کاملSchrödinger equations with time - dependent
We present some general results for the time-dependent mass Hamiltonian problem with H = − 2e∂xx + h(2)(t)e2νx2. This Hamiltonian corresponds to a time-dependent mass (TM) Schrödinger equation with the restriction that there are only P 2 and X2 terms. We give the specific transformations to a different quantum Schrödinger(TQ) equation and to a different time-dependent oscillator (TO) equation. ...
متن کاملCoupled Nonlinear Schrödinger Systems with Potentials 3
Coupled nonlinear Schrödinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of concentrating solutions of a singularly perturbed coupled nonlinear Schrödinger system, in presence of potentials. We show how the location of the concentra...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2002
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1470708