Solving the hydrodynamic formulation of quantum mechanics: A parallel MLS method
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Ioana Banicescu | Jianping Zhu | Paul E. Oppenheimer | Charles A. Weatherford | R. Glenn Brook | I. Banicescu | C. Weatherford | Jianping Zhu | P. Oppenheimer | R. Brook
[1] T. Liszka. An interpolation method for an irregular net of nodes , 1984 .
[2] Herschel Rabitz,et al. Multidimensional wave packet dynamics within the fluid dynamical formulation of the Schrodinger equation , 1998 .
[3] Robert E. Wyatt. Quantum wavepacket dynamics with trajectories: wavefunction synthesis along quantum paths , 1999 .
[4] Attila Askar,et al. Quantum fluid dynamics in the Lagrangian representation and applications to photodissociation problems , 1999 .
[5] T. Liszka,et al. hp-Meshless cloud method , 1996 .
[6] James T. Cushing,et al. Bohmian mechanics and quantum theory: an appraisal , 1996 .
[7] D. Bohm. A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II , 1952 .
[8] Attila Askar,et al. Time‐Dependent Perturbation Calculations Based on the Hydrodynamic Analogy to Quantum Mechanics , 1971 .
[9] B. M. Deb,et al. Erratum: The role of single-particle density in chemistry , 1981 .
[10] J. M. Keiser,et al. A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs , 1998 .
[11] Waldyr A. Rodrigues,et al. Nonlocality in quantum physics , 1999 .
[12] Robert E. Wyatt,et al. Time propagation and spectral filters in quantum dynamics: A Hermite polynomial perspective , 1999 .
[13] P. Holland. The Quantum Theory of Motion , 1993 .
[14] Basil J. Hiley,et al. A quantum potential description of one-dimensional time-dependent scattering from square barriers and square wells , 1982 .
[15] L. Broglie,et al. Interference and Corpuscular Light , 1926, Nature.
[16] Eric R. Bittner. Quantum tunneling dynamics using hydrodynamic trajectories , 2000 .
[17] Mark A Fleming,et al. Meshless methods: An overview and recent developments , 1996 .
[18] Deb,et al. New quadratic nondifferential Thomas-Fermi-Dirac-type equation for atoms. , 1988, Physical review. A, General physics.
[19] Y. Partom,et al. Quantum Rate Theory for Solids. II. One-Dimensional Tunneling Effects , 1969 .
[20] R. Wyatt,et al. Quantum Wave Packet Dynamics with Trajectories , 1999 .
[21] B. Deb,et al. Densities, density-functionals and electron fluids , 1982 .
[22] Deb,et al. Density-functional and hydrodynamical approach to ion-atom collisions through a new generalized nonlinear Schrödinger equation. , 1989, Physical review. A, General physics.
[23] Eric R. Bittner,et al. Integrating the quantum Hamilton–Jacobi equations by wavefront expansion and phase space analysis , 2000 .
[24] Pratim K. Chattaraj,et al. Stability analysis of finite difference schemes for quantum mechanical equations of motion , 1987 .
[25] B. Hiley. The Undivided Universe , 1993 .
[26] R. Wyatt. Quantum wave packet dynamics with trajectories: Application to reactive scattering , 1999 .
[27] Ted Belytschko,et al. Partitioned rational Runge Kutta for parabolic systems , 1984 .
[28] Robert E. Wyatt,et al. Quantum trajectories for resonant scattering , 2001 .
[29] C. Eckart. The Penetration of a Potential Barrier by Electrons , 1930 .
[30] B. Deb,et al. The role of single-particle density in chemistry , 1981 .
[31] R. A. Uras,et al. Generalized multiple scale reproducing kernel particle methods , 1996 .
[32] B. Deb,et al. Schrödinger fluid dynamics of many‐electron systems in a time‐dependent density‐functional framework , 1982 .
[33] P. Holland,et al. Uniqueness of paths in quantum mechanics , 1999 .
[34] Péter Kacsuk,et al. Advanced computer architectures - a design space approach , 1997, International computer science series.
[35] Serge Haroche,et al. Entanglement, Decoherence and the Quantum/Classical Boundary , 1998 .
[36] Pratim K. Chattaraj,et al. Quantum fluid density functional theory of time-dependent phenomena: Ion-atom collisions , 1988 .
[37] Sheldon Goldstein,et al. Quantum Theory without Observers—Part One , 1998 .
[38] Askar,et al. Solution of the quantum fluid dynamical equations with radial basis function interpolation , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[39] J. H. Weiner,et al. Wave Packet Dynamics on Two-Dimensional Quadratic Potential Surfaces , 1971 .
[40] Robert E. Wyatt,et al. Quantum wave packet dynamics with trajectories: Implementation with distributed approximating functionals , 2000 .
[41] P. Lancaster,et al. Surfaces generated by moving least squares methods , 1981 .
[42] T. Belytschko,et al. Nodal integration of the element-free Galerkin method , 1996 .
[43] R. Wyatt,et al. Quantum wave packet dynamics with trajectories: Implementation with adaptive Lagrangian grids , 2000 .
[44] S. Goldstein,et al. Hypersurface Bohm-Dirac models , 1999 .