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References
C.J. Trahan, K. Hughes, and R.E. Wyatt, A new method for wave packet propagation: Derivative propagation along quantum trajectories, J. Chem. Phys. 118, 9911 (2003).
T. Aoki, Interpolated differential operator (IDO) scheme for solving partial differential equations, Comp. Phys. Comm. 102, 132 (1997).
T. Aoki, 3D simulation of falling leaves, Comp. Phys. Comm. 142, 326 (2001).
E.J. Heller, Time-dependent approach to semiclassical dynamics, J. Chem. Phys. 62, 1554 (1975).
I. Burghardt and L.S. Cederbaum, Hydrodynamic equations for mixed quantum states. I. General formulation, J. Chem. Phys. 115, 10303 (2001).
I. Burghardt and L.S. Cederbaum, Hydrodynamic equations for mixed quantum states. I. Coupled electronic states, J. Chem. Phys. 115, 10312 (2001).
A. Donoso and C.C. Martens, Quantum tunneling using entangled classical trajectories, Phys. Rev. Lett. 87, 223202 (2001).
D.J. Tannor and D.E. Weeks, Wave packet correlation function formulation of scattering theory: The quantum analog of classical S-matrix theory, J. Chem. Phys. 98, 3884 (1993).
D.J. Tannor, Introduction to Quantum Mechanics: A Time Dependent Perspective (University Science Books, New York, 2004).
J.Z.H. Zhang, Theory and Application of Quantum Molecular Dynamics (World Scientific, Singapore, 1999).
L.D. Landau and E.M. Lifshitz, Quantum Mechanics: Non-relativistic Theory (Pergamon Press, London, 1958).
J. Liu and N. Makri, Monte Carlo Bohmian dynamics from trajectory stability, J. Phys. Chem. A 108, 5408 (2004).
E.R. Bittner, Quantum initial value representations using approximate Bohmian trajectories, J. Chem. Phys. 119, 1358 (2003).
C.J. Trahan and R.E. Wyatt, Classical and quantum phase space evolution: fixed-lattice and trajectory solutions, Chem. Phys. Lett. 385, 280 (2004).
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(2005). Derivative Propagation Along Quantum Trajectories. In: Quantum Dynamics with Trajectories. Interdisciplinary Applied Mathematics, vol 28. Springer, New York, NY. https://doi.org/10.1007/0-387-28145-2_10
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DOI: https://doi.org/10.1007/0-387-28145-2_10
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