112 citations · 725 across the 43 of their papers we have counts for
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math-ph2014
Weakly nonlinear time-adiabatic theory
Christof Sparber
We revisit the time-adiabatic theorem of quantum mechanics and show that it can be extended to weakly nonlinear situations, that is to nonlinear Schroedinger equations in which eit…
math.AP2014
On the classical limit of a time-dependent self-consistent field system: analysis and computation
Shi Jin, Christof Sparber, Zhennan Zhou
We consider a coupled system of Schrödinger equations, arising in quantum mechanics via the so-called time-dependent self-consistent field method. Using Wigner transformation techn…
math.AP2014★ 112 cited
Numerical study of fractional Nonlinear Schrödinger equations
C. Klein, C. Sparber, P. Markowich
Using a Fourier spectral method, we provide a detailed numerically investigation of dispersive Schrödinger type equations involving a fractional Laplacian. By an appropriate choice…