53 citations · 73 across the 5 of their papers we have counts for
5 papers
Reply to Comment by Brown and Carrington on "Phase-Space Approach to Solving the Time-Independent Schrödinger Equation"
Asaf Shimshovitz, David J. Tannor
The Comment of Brown and Carrington Jr. (BC) has two main points: 1) that the contraction idea of Shimshovitz and Tannor (ST) can be used for any DVR basis, not necessarily periodi…
Periodic Gabor Functions with Biorthogonal Exchange: A Highly Accurate and Efficient Method for Signal Compression
Asaf Shimshovitz, David J. Tannor
We propose a new formalism for signal compression based on the Gabor basis set. By convolving the conventional Gabor functions with Dirichlet functions we obtain a periodic version…
Phase Space Approach to Laser-driven Electronic Wavepacket Propagation
Norio Takemoto, Asaf Shimshovitz, David J. Tannor
We propose a phase space method to propagate a quantum wavepacket driven by a strong external field. The method employs the so-called biorthogonal von Neumann basis recently introd…
Phase Space Approach to Solving the Time-independent Schrödinger Equation
Asaf Shimshovitz, David J. Tannor
We propose a method for solving the time independent Schrödinger equation based on the von Neumann (vN) lattice of phase space Gaussians. By incorporating periodic boundary conditi…
Gaussian flexibility with Fourier accuracy: the periodic von Neumann basis set
Asaf Shimshovitz, David J. Tannor
We propose a new method for solving quantum mechanical problems, which combines the flexibility of Gaussian basis set methods with the numerical accuracy of the Fourier method. The…