Schrödinger Equation (Strang-Marchuk)
type: Item
instance of: mathematical expression
instance of: discrete-time expression
defining formula: | ψ ( t + Δ t ) ⟩ = exp ( − i Δ t T ^ / ( 2 ℏ ) ) exp ( − i Δ t V ^ / ℏ ) exp ( − i Δ t T ^ / ( 2 ℏ ) ) | ψ ( t ) ⟩ + 𝒪 ( Δ t ) 2
in defining formula: Δ t
in defining formula: T ^
in defining formula: V ^
in defining formula: ℏ
in defining formula: i
in defining formula: ψ ( t )
described by source: Solution of the Schrödinger equation by a spectral method
described by source: A comparison of different propagation schemes for the time dependent Schrödinger equation
described by source: Solution of the Schrödinger equation by a spectral method II: Vibrational energy levels of triatomic molecules
Wikidata QID: Q25303744
community: MathModDB
MaRDI profile type: MaRDI formula profile
named after: Erwin Schrödinger
named after: Gilbert Strang
named after: Gury Marchuk
description: second order (Strang-Marchuk) split operator scheme for numerical integration of the time-dependent Schrödinger equation