Gaussian beam methods for the Schrödinger equation with discontinuous potentials

  title={Gaussian beam methods for the Schr{\"o}dinger equation with discontinuous potentials},
  author={Shi Jin and Dongming Wei and Dongsheng Yin},
  journal={J. Computational Applied Mathematics},
We propose Eulerian and Lagrangian Gaussian beam methods for the Schrödinger equation with discontinuous potentials. At the quantum barriers where the potential is discontinuous, we derive suitable interface conditions to account for quantum scattering information. These scattering interface conditions are then built into the numerical fluxes in the Eulerian level set formulation of the Gaussian beam methods, and are also used in the Lagrangian formulation, including an interface condition for… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 40 references

Gaussian beam formulations and interface conditions for the one-dimensional linear Schrödinger equation

D. Yin, C. Zheng
Wave Motion, • 2011
View 4 Excerpts
Highly Influenced

Superpositions and higher order Gaussian beams

N. M. Tanushev
Commun. Math. Sci., • 2008
View 5 Excerpts
Highly Influenced

Composite coherent states approximation for one-dimensional multi-phased wave functions, Communications in Computational Physics

D. Yin, C. Zheng
View 2 Excerpts

Bloch DecompositionBased Gaussian Beam Method for the Schrödinger equation with Periodic Potentials

H. Wu S. Jin, X. Yang, Z. Huang
Comm . Comp . Phys . • 2011