Journal articles on the topic 'Schrödinger equation Numerical solutions'
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Паасонен, Виктор Иванович, and Михаил Петрович Федорук. "On the efficiency of high-order difference schemes for the Schro¨dinger equation." Вычислительные технологии, no. 6 (December 16, 2021): 68–81. http://dx.doi.org/10.25743/ict.2021.26.6.006.
Full textZlotnik, Alexander, and Olga Kireeva. "ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION." Mathematical Modelling and Analysis 26, no. 3 (September 10, 2021): 479–502. http://dx.doi.org/10.3846/mma.2021.13770.
Full textPetridis, Athanasios N., Lawrence P. Staunton, Jon Vermedahl, and Marshall Luban. "Exact Analytical and Numerical Solutions to the Time-Dependent Schrödinger Equation for a One-Dimensional Potential Exhibiting Non-Exponential Decay at All Times." Journal of Modern Physics 01, no. 02 (2010): 124–36. http://dx.doi.org/10.4236/jmp.2010.12018.
Full textFermo, L., Mee Van, and S. Seatzu. "Emerging problems in approximation theory for the numerical solution of the nonlinear Schrödinger equation." Publications de l'Institut Math?matique (Belgrade) 96, no. 110 (2014): 125–41. http://dx.doi.org/10.2298/pim1410125f.
Full textKapoor, Mamta, Nehad Ali Shah, and Wajaree Weera. "Analytical solution of time-fractional Schr<i>ö</i>dinger equations via Shehu Adomian Decomposition Method." AIMS Mathematics 7, no. 10 (2022): 19562–96. http://dx.doi.org/10.3934/math.20221074.
Full textRitchie, Burke, and Charles A. Weatherford. "Numerical solution of the time-dependent Schr�dinger equation for continuum states." International Journal of Quantum Chemistry 80, no. 4-5 (2000): 934–41. http://dx.doi.org/10.1002/1097-461x(2000)80:4/5<934::aid-qua42>3.0.co;2-o.
Full textCampoy, G., and A. Palma. "On the numerical solution of the Schr�dinger equation with a polynomial potential." International Journal of Quantum Chemistry 30, S20 (March 10, 1986): 33–43. http://dx.doi.org/10.1002/qua.560300706.
Full textZeng Si-Liang, Zou Shi-Yang, Wang Jian-Guo, and Yan Jun. "Numerical solution of the three-dimensional time-dependent Schr?dinger equation and its application." Acta Physica Sinica 58, no. 12 (2009): 8180. http://dx.doi.org/10.7498/aps.58.8180.
Full textVigo-Aguiar, Jes�s, and Higinio Ramos. "A variable-step Numerov method for the numerical solution of the Schr�dinger equation." Journal of Mathematical Chemistry 37, no. 3 (April 2005): 255–62. http://dx.doi.org/10.1007/s10910-004-1467-3.
Full textAnastassi, Z. A., and T. E. Simos. "Trigonometrically fitted Runge?Kutta methods for the numerical solution of the Schr�dinger equation." Journal of Mathematical Chemistry 37, no. 3 (April 2005): 281–93. http://dx.doi.org/10.1007/s10910-004-1470-8.
Full textSakas, D. P., and T. E. Simos. "A family of multiderivative methods for the numerical solution of the Schr�dinger equation." Journal of Mathematical Chemistry 37, no. 3 (April 2005): 317–32. http://dx.doi.org/10.1007/s10910-004-1472-6.
Full textLiu, Xue-Shen, Xiao-Yan Liu, Zhong-Yuan Zhou, Pei-Zhu Ding, and Shou-Fu Pan. "Numerical solution of one-dimensional time-independent Schr�dinger equation by using symplectic schemes." International Journal of Quantum Chemistry 79, no. 6 (2000): 343–49. http://dx.doi.org/10.1002/1097-461x(2000)79:6<343::aid-qua2>3.0.co;2-o.
Full textKalogiratou, Z., Th Monovasilis, and T. E. Simos. "Numerical solution of the two-dimensional time independent Schr�dinger equation with Numerov-type methods." Journal of Mathematical Chemistry 37, no. 3 (April 2005): 271–79. http://dx.doi.org/10.1007/s10910-004-1469-1.
Full textLiu, Xuan, Muhammad Ahsan, Masood Ahmad, Muhammad Nisar, Xiaoling Liu, Imtiaz Ahmad, and Hijaz Ahmad. "Applications of Haar Wavelet-Finite Difference Hybrid Method and Its Convergence for Hyperbolic Nonlinear Schrödinger Equation with Energy and Mass Conversion." Energies 14, no. 23 (November 23, 2021): 7831. http://dx.doi.org/10.3390/en14237831.
Full text刘, 学. "Four Types of Functions Solutions of the Novel Auxiliary Equation and Its Application on the Perturbed Nonlinear Schro¨dinger Equation." Advances in Applied Mathematics 04, no. 03 (2015): 217–23. http://dx.doi.org/10.12677/aam.2015.43027.
Full textFatokun, Johnson Oladele. "A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation." American Journal of Computational Mathematics 04, no. 04 (2014): 271–79. http://dx.doi.org/10.4236/ajcm.2014.44023.
Full textPsihoyios, G., and T. E. Simos. "Sixth algebraic order trigonometrically fitted predictor?corrector methods for the numerical solution of the radial Schr�dinger equation." Journal of Mathematical Chemistry 37, no. 3 (April 2005): 295–316. http://dx.doi.org/10.1007/s10910-004-1471-7.
Full textGarcía A., Carlos, Nicolas Dauchez, and Gautier Lefebvre. "Radiation of thin complex plates estimated with the landscape of localisation theory." Journal of the Acoustical Society of America 151, no. 4 (April 2022): A167. http://dx.doi.org/10.1121/10.0010996.
Full textChen, Yu, Iman Tavakkolnia, Alex Alvarado, and Majid Safari. "On the Capacity of Amplitude Modulated Soliton Communication over Long Haul Fibers." Entropy 22, no. 8 (August 15, 2020): 899. http://dx.doi.org/10.3390/e22080899.
Full textSous, A. J., and M. I. El-Kawni. "Numerical Solution of the Schrödinger Equation for a Short-Range Potential with Any <i>l</i> Angular Momentum." Journal of Applied Mathematics and Physics 06, no. 04 (2018): 901–9. http://dx.doi.org/10.4236/jamp.2018.64077.
Full textKatrakhov, Valeriy V., and Sergey M. Sitnik. "The Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations." Contemporary Mathematics. Fundamental Directions 64, no. 2 (December 15, 2018): 211–426. http://dx.doi.org/10.22363/2413-3639-2018-64-2-211-426.
Full textZhong, Yu, H. Triki, and Qin Zhou. "Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential." Communications in Theoretical Physics, November 23, 2022. http://dx.doi.org/10.1088/1572-9494/aca51c.
Full text"Statistical Approach to Nonlinear Schro ̈ dinger Equation. Quantum Case." Applied Mathematics & Information Sciences 16, no. 4 (July 1, 2022): 617–21. http://dx.doi.org/10.18576/amis/160415.
Full textBilal, Muhammad, Muhammad Younis, Shafqat-Ur-Rehman, Jamshad Ahmad, and Usman Younas. "Investigation of new solitons and other solutions to the modified nonlinear Schro¨dinger equation in ocean engeneering." Journal of Ocean Engineering and Science, April 2022. http://dx.doi.org/10.1016/j.joes.2022.04.031.
Full textYounas, Usman, T. A. Sulaiman, Jingli Ren, and A. Yusuf. "Investigation of optical solitons and other solutions in optic fibers modelled by the improved perturbed nonlinear Schro¨dinger equation." Journal of Ocean Engineering and Science, June 2022. http://dx.doi.org/10.1016/j.joes.2022.06.038.
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