In this paper we study time-splitting spectral approximations for the linear Schrödinger equation in the semiclassical regime, where the Planck constant ε is small. In this regime, the equation propagates oscillations with a wavelength of O(ε), and finite difference approximations require the spatia
✦ LIBER ✦
Convergence of a semiclassical wavepacket based time-splitting for the Schrödinger equation
✍ Scribed by Vasile Gradinaru, George A. Hagedorn
- Book ID
- 120749225
- Publisher
- Springer-Verlag
- Year
- 2013
- Tongue
- English
- Weight
- 678 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
On Time-Splitting Spectral Approximation
✍
Weizhu Bao; Shi Jin; Peter A. Markowich
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 942 KB
On Fourier Time-Splitting Methods for No
✍
Carles, Rémi
📂
Article
📅
2013
🏛
Society for Industrial and Applied Mathematics
🌐
English
⚖ 321 KB
Splitting methods for the time-dependent
✍
S. Blanes; P.C. Moan
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 135 KB
Cheap and easy to implement fourth-order methods for the Schrodinger equation with time-dependent Hamiltonians are ïntroduced. The methods require evaluations of exponentials of simple unidimensional integrals, and can be considered an averaging technique, preserving many of the qualitative propert
A general time-to-energy transform of wa
✍
Youhong Huang; Wei Zhu; Donald J. Kouri; David K. Hoffman
📂
Article
📅
1993
🏛
Elsevier Science
🌐
English
⚖ 527 KB
Convergence Analysis of High-Order Time-
✍
Thalhammer, Mechthild
📂
Article
📅
2012
🏛
Society for Industrial and Applied Mathematics
🌐
English
⚖ 477 KB
General Derivation of the Time-Independe
✍
D.J. Kouri, D.K. Hoffmann
📂
Article
📅
1995
🏛
Springer Vienna
🌐
English
⚖ 308 KB