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• W2020145898 abstract "We propose a method for solving the time independent Schrodinger equation based on the von Neumann (vN) lattice of phase space Gaussians. By incorporating periodic boundary conditions into the vN lattice [F. Dimler et al., New J. Phys. 11, 105052 (2009)] we solve a longstanding problem of convergence of the vN method. This opens the door to tailoring quantum calculations to the underlying classical phase space structure while retaining the accuracy of the Fourier grid basis. The method has the potential to provide enormous numerical savings as the dimensionality increases. In the classical limit the method reaches the remarkable efficiency of 1 basis function per 1 eigenstate. We illustrate the method for a challenging two-dimensional potential where the FGH method breaks down." @default.
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• W2020145898 date "2012-08-17" @default.
• W2020145898 modified "2023-10-14" @default.
• W2020145898 title "Phase-Space Approach to Solving the Time-Independent Schrödinger Equation" @default.
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• W2020145898 doi "https://doi.org/10.1103/physrevlett.109.070402" @default.
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