Search Results

• A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space

  Lihui Chai, Shi Jin, Peter A. Markowich

  2020-07-31

  44265 3235 Pages:989-1020

• Pseudospectral Methods for Computing the Multiple Solutions of the Schrödinger Equation

  Zhao-Xiang Li, Ji Lao, Zhong-Qing Wang

  2018-08-21

  47815 3203 Pages:822-845

• Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well

  Siwei Duo, Yanzhi Zhang

  2018-04-03

  39193 3164 Pages:321-350

• The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation

  Renato Spigler

  2022-05-06

  44636 3323 Pages:1341-1361

• The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

  Zhennan Zhou, Giovanni Russo

  2019-04-04

  47491 5537 Pages:469-505 Open-access

• Quantum Simulation of the Fokker-Planck Equation via Schrödingerization

  Shi Jin, Nana Liu, Yue Yu

  2026-01-18

  1031 291 Pages:969-1001

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20220 1586 Pages:485-520

• Review of Feynman's Path Integral in Quantum Statistics: From the Molecular Schrödinger Equation to Kleinert's Variational Perturbation Theory

  Kin-Yiu Wong

  2020-07-31

  43242 6076 Pages:853-894 Open-access

• A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

  Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt

  2022-10-28

  47600 3512 Pages:1039-1060

• Towards a Theoretical Background for Strong-Scattering Inversion – Direct Envelope Inversion and Gel'fand-Levitan-Marchenko Theory

  Ru-Shan Wu

  2020-06-05

  52192 5156 Pages:41-73

• Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation

  Christian Mollet, Angela Kunoth, Torsten Meier

  2014-07-05

  39225 4579 Pages:21-47

• Numerical Continuation of Resonances and Bound States in Coupled Channel Schrödinger Equations

  Przemyslaw Klosiewicz, Jan Broeckhove, Wim Vanroose

  2020-07-31

  40496 4277 Pages:435-455

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  9031 519 Pages:1383-1416

• Recent Progress in Symplectic Algorithms for Use in Quantum Systems

  Xue-Shen Liu, Yue-Ying Qi, Jian-Feng Hei, Pei-Zhu Ding

  2007-02-01

  39667 4726 Pages:1-53 Open-access

• Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation

  Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer

  2023-05-12

  35812 3058 Pages:937-961

• A Preconditioned Iterative Solver for the Scattering Solutions of the Schrödinger Equation

  Hisham bin Zubair, Bram Reps, Wim Vanroose

  2020-07-31

  40214 4023 Pages:415-434

• Local Discontinuous Galerkin Methods for the 2D Simulation of Quantum Transport Phenomena on Quantum Directional Coupler

  Li Guo, Yan Xu

  2020-07-31

  41339 4045 Pages:1012-1028

• Ground States and Energy Asymptotics of the Nonlinear Schrödinger Equation with a General Power Nonlinearity

  Xinran Ruan, Wenfan Yi

  2020-07-31

  43762 3265 Pages:1121-1142

• A Time-Space Adaptive Method for the Schrödinger Equation

  Katharina Kormann

  2018-04-04

  43568 4815 Pages:60-85

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie, Shi-Hui Zhang

  2010-07-01

  38491 4078 Pages:718-737

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  17135 1401 Pages:1157-1185

• An Exact Absorbing Boundary Condition for the Schrödinger Equation with Sinusoidal Potentials at Infinity

  Chunxiong Zheng

  2008-03-01

  39448 4021 Pages:641-658

• Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

  Shi Jin, Hao Wu, Xu Yang

  2011-03-05

  39442 4247 Pages:668-687

• A Finite Element Method Solver for Time-Dependent and Stationary Schrödinger Equations with a Generic Potential

  A. Soba

  2009-05-01

  40215 4012 Pages:914-927

• Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory

  Matthias Ehrhardt, Chunxiong Zheng

  2025-08-23

  6436 425 Pages:711-728

• Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

  Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou

  2021-10-26

  49888 3323 Pages:1474-1498

• Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

  Xavier Antoine, Emmanuel Lorin

  2020-02-23

  47804 3358 Pages:1032-1052