Magnus--Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential

Magnus--Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential

The computation of the Schrödinger equation featuring time-dependent potentials is of great importance in quantum control of atomic and molecular processes. These applications often involve highly oscillatory potentials and require inexpensive but accurate solutions over large spatio-temporal window...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Iserles, A, Kropielnicka, K, Singh, P
Fformat:	Journal article
Cyhoeddwyd:	Society for Industrial and Applied Mathematics 2018

Eitemau Tebyg

Compact schemes for laser–matter interaction in Schrödinger equation based on effective splittings of Magnus expansion
gan: Iserles, A, et al.
Cyhoeddwyd: (2018)

Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials
gan: Iserles, A, et al.
Cyhoeddwyd: (2018)

Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential
gan: Bader, P, et al.
Cyhoeddwyd: (2016)

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime
gan: Auzinger, W, et al.
Cyhoeddwyd: (2019)

Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators
gan: Pablo Antonio Moreno Casares, et al.
Cyhoeddwyd: (2024-12-01)

The Lanczos Potential for Bianchi Spacetime
gan: Mark D. Roberts
Cyhoeddwyd: (2022-08-01)

Indefinite Ruhe’s Variant of the Block Lanczos Method for Solving the Systems of Linear Equations
gan: M. Ghasemi Kamalvand, et al.
Cyhoeddwyd: (2020-01-01)

Effective Potential from the Generalized Time-Dependent Schrödinger Equation
gan: Trifce Sandev, et al.
Cyhoeddwyd: (2016-09-01)

Multi-Grid Lanczos
gan: Clark M. A., et al.
Cyhoeddwyd: (2018-01-01)

Lanczos potential of Weyl field: interpretations and applications
gan: Ram Gopal Vishwakarma
Cyhoeddwyd: (2021-02-01)

Solving point burnup equations by Magnus method
gan: Yun Cai, et al.
Cyhoeddwyd: (2019-07-01)

On the Lanczos Method for Computing Some Matrix Functions
gan: Ying Gu, et al.
Cyhoeddwyd: (2024-11-01)

Comment on “Lanczos potential of Weyl field: interpretations and applications”
gan: Ronald J. Riegert
Cyhoeddwyd: (2023-05-01)

Schrodinger Equation for the Hydrogen Atom - A Simplified Treatment
gan: L. R. Ganesan, et al.
Cyhoeddwyd: (2008-01-01)

Real time interpolation algorithm based on Lanczos kernel
gan: Ying GUO, et al.
Cyhoeddwyd: (2017-06-01)

Real time interpolation algorithm based on Lanczos kernel
gan: Ying GUO, et al.
Cyhoeddwyd: (2017-06-01)

Double k-Grid Method for Solving the Bethe-Salpeter Equation via Lanczos Approaches
gan: Ignacio M. Alliati, et al.
Cyhoeddwyd: (2022-01-01)

A Comparison of Methods for Determining the Time Step When Propagating with the Lanczos Algorithm
gan: N. Mohankumar, et al.
Cyhoeddwyd: (2019-11-01)

Exact and efficient Lanczos method on a quantum computer
gan: William Kirby, et al.
Cyhoeddwyd: (2023-05-01)

Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function
gan: Ni Song, et al.
Cyhoeddwyd: (2016-01-01)

Symplectic integrators tailored to the time-dependent Schrodinger equation
gan: Gray, S, et al.
Cyhoeddwyd: (1996)

The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
gan: Massimo Cicognani
Cyhoeddwyd: (2014-12-01)

Supersymmetry of time-dependent Schrödinger equations with effective mass
gan: Schulze-Halberg Axel
Cyhoeddwyd: (2008-03-01)

New Solution Method of Time-dependent Schrödinger Equation Using Improved Boundary Conditions
gan: C. P. Song, et al.
Cyhoeddwyd: (2001-01-01)

Approximate Solutions of the Schrodinger Equation for a Momentum-Dependent potential
gan: Clement Onate, et al.
Cyhoeddwyd: (2022-05-01)

Computers and mathematics with applications : in memory of Cornelius Lanczos /
gan: Rodin, Ervin Y., 1932-
Cyhoeddwyd: (1976)

Application of Lanczos and Schur Vectors in Structural Dynamics
gan: M. Radeş
Cyhoeddwyd: (2008-01-01)

Improvement of DOA Estimation based on Lanczos Algorithm
gan: Sinan Majid Abdul Satar, et al.
Cyhoeddwyd: (2014-08-01)

Scattering in the Ising model with the quantum Lanczos algorithm
gan: Kübra Yeter-Aydeniz, et al.
Cyhoeddwyd: (2021-01-01)

Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
gan: Xin-Lei Mai, et al.
Cyhoeddwyd: (2021-01-01)

Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
gan: Athinoula A. Kosti, et al.
Cyhoeddwyd: (2020-03-01)

Efficient computation of the MCTDHF approximation to the time-dependent Schrödinger equation
gan: Othmar Koch
Cyhoeddwyd: (2006-01-01)

Studies in numerical analysis : Papers in honour of Cornelius Lanczos /
gan: Scaife, B. K. P. (Brendan Kevin Patrick)
Cyhoeddwyd: (1974)

The improvement of sparsity gravity inversion using an adaptive lanczos bidiagonalization method
gan: Meng Zhaohai, et al.
Cyhoeddwyd: (2023-01-01)

Modified Heisenberg Commutation Relations, Free Schrödinger Equations, Tunnel Effect and Its Connections with the Black–Scholes Equation
gan: Mauricio Contreras González, et al.
Cyhoeddwyd: (2025-01-01)

Initial value problem for the time-dependent linear Schrödinger equation with a point singular potential by the unified transform method
gan: Yan Rybalko
Cyhoeddwyd: (2018-01-01)

Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing
gan: Lianbing She, et al.
Cyhoeddwyd: (2018-01-01)

On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
gan: Aitor Balmaseda, et al.
Cyhoeddwyd: (2022-01-01)

Equivalent transformation and integrability of the nonlinear Schrödinger equations with time-dependent coefficients
gan: Hanze Liu
Cyhoeddwyd: (2023-09-01)

Homotopy Analysis Method for Time-Fractional Schrödinger Equations
gan: Nauman ASGHAR, et al.
Cyhoeddwyd: (2012-11-01)