Splitting methods for the time-dependent Schrödinger equation

On the exponential solution of differential equations for a linear operator

Wilhelm Magnus · Communications on Pure and Applied Mathematics · 1954 · 2.4K citations

Spectral Theory, Linear Operator, Exponential Solution +5

Construction of higher order symplectic integrators

Haruo Yoshida · Physics Letters A · 1990 · 2.2K citations

Spectral Theory, Lie Point Symmetry, Hamiltonian Theory +1

On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods

Robert I. McLachlan · SIAM Journal on Scientific Computing · 1995 · 360 citations

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +12

On the solution of linear differential equations in Lie groups

Arieh Iserles, Syvert P. Nørsett · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 1999 · 277 citations

Spectral Theory, Numerical Analysis, Binary Trees +14

Quantum versus classical dynamics in the treatment of multiple photon excitation of the anharmonic oscillator

Robert B. Walker, Richard K. Preston · The Journal of Chemical Physics · 1977 · 263 citations · Full text

Photonics, Quantum Science, Multiple Photon Excitation +14