بررسی تاثیر مرتبه تقریبات در روش انتشارگر زمان موهومی برای محاسبه‌ی تابع موج حالت پایه

[1] S.A. Chin, S. Janecek, E. Krotscheck, Any order imaginary time propagation method for solving the Schrödinger equation, Chemical Physics Letters 470 (2019) 342-346.  doi:10.1016/j.cplett.2009.01.068.

[2] S.A. Chin, E. Krotscheck, Fourth-Order Algorithms for Solving the Imaginary Time Gross-Pitaevskii Equation  in a Rotating Anisotropic Trap, Physical Review E Statistical Nonlinear and Soft Matter Physics 72 (2005) 036705. doi:10.1103/PhysRevE.72.036705

[3] P.J.J Luukko, E. Rasanen, Imaginary time propagation code for large-scale two-dimensional eigenvalue problems in magnetic fields, Computer Physics Communications 184 (2013) 769-776. doi:10.1016/j.cpc.2012.09.029

[4] P. Bader, S. Blanes, F. Casas, Solving the Schrodinger eigenvalue problem by the imaginary time propagation technique using splitting methods with complex coefficients, The Journal of Chemical Physics 139 (2013) 124117. https://doi.org/10.1063/1.4821126

[5] M.J. Panza, Application of Power Method and Dominant Eigenvector /Eigenvalue Concept for Approximate Eigenspace Solutions to Mechanical Engineering Algebraic Systems, American Journal of Mechanical Engineering 6 (2018) 98-113.

http://dx.doi.org/10.12691/ajme-6-3-3

[6] O. Juillet. Ph. Chomaz, Exact Stochastic Mean-Field Approach to the Fermionic Many-Body Problem, Physical Review Letters 88 (2002) 142503. http://dx.doi.org/10.1103/PhysRevLett.88.142503

[7] P. Luukko, Spectral analysis and quantum chaos in two dimensional nanostructures, The University of Jyväskylä, Thesis (2015). http://urn.fi/URN:ISBN:978-951-39-6376-7

[8] L. Lehtovaara, J. Toivanen, & J. Eloranta,Solution of time-independent Schrödinger equation by the imaginary time propagation method, Journal of Computational Physics 221 (2007) 148-157. https://doi.org/10.1016/j.jcp.2006.06.006

[9] R.M. Wilcox, Exponential operators and parameter differentiation in quantum physics, Journal of Mathematical Physic 8 (1967) 962-982.  https://doi.org/10.1063/1.1705306

[10] P.J.J. Luukko, E. Räsänen, Imaginary time propagation code for large-scale two-dimensional eigenvalue problems in magnetic fields, Computer Physics Communications 184 (2013) 769-776. https://www.researchgate.net/publication/256688588

[11] M.D. Feit, J.A. Jr. Fleck, A. Steiger, Solution of the Schrödinger Equation by a Spectral Method, Journal of Computational Physics 47 3 (1982) 412-433. https://doi.org/10.1016/00219991(82)90091-2

[12] J. Kocák, A new method for the solution of the Schrِdinger equation, Department of Physical and Macromolecular Chemistry, Master Thesis (2017).

[13] Q. Sheng, Solving linear partial differential equations by exponential splitting, IMA Journal of Numerical Analysis 9 2 (1989) 199–212. https://doi.org/10.1093/imanum/9.2.199