Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation
DOI10.1134/S0361768806020083zbMath1101.65089OpenAlexW2020519762MaRDI QIDQ2433003
Yoshio Uwano, V. N. Samoylov, T. V. Tupikova, V. A. Rostovtsev, Vladimir P. Gerdt, S. I. Vinitskij, Michael Kaschiev, Alexander Gusev
Publication date: 26 October 2006
Published in: Programming and Computer Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0361768806020083
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items
Uses Software
Cites Work
- A comparison of algorithms for the normalization and quantization of polynomial Hamiltonians
- A REDUCE program for the normalization of polynomial Hamiltonians
- Practical quantum mechanics. Translated from the German.
- Finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations
- A new method for solving an eigenvalue problem for a system of three Coulomb particles within the hyperspherical adiabatic reprentation.
- A high-order accuracy method for numerical solving of the time-dependent Schrödinger equation
- Magnus-factorized method for numerical solving the time-dependent Schrödinger equation
- Exponential Operators and Parameter Differentiation in Quantum Physics
- On the exponential solution of differential equations for a linear operator
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
