Matlab package for the Schrödinger equation. (English) Zbl 1156.81380

Summary: The paper presents a Matlab package for the linear time-(in)dependent Schrödinger equation, based on the Hermite spectral method. The matrix form of the discretized problem is suitable for the linear algebra capabilities of Matlab. The high accuracy and efficiency of the algorithm is proved by many examples taken from the literature.


81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
65L15 Numerical solution of eigenvalue problems involving ordinary differential equations
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35L40 First-order hyperbolic systems
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