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Numerical methods for solving the time-dependent Schrödinger equation

Persson, Anders LU (2012) FYSK01 20112
Department of Physics
Abstract
The main purpose of this thesis is to describe different numerical methods for solving the time-dependent Schr¨odinger equation. We introduce and describe two different basis representations (spectral and pseudospectral). These basis representations are then used in the different methods we take up for discussion. We consider methods in which the Hamiltonian is constructed in a spectral basis and a pseudospectral basis. We also describe different methods of approximating the time-development of the Hamiltonian. Finally some practical examples will
be mentioned.
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author
Persson, Anders LU
supervisor
organization
course
FYSK01 20112
year
type
M2 - Bachelor Degree
subject
language
English
id
3363166
date added to LUP
2013-02-04 17:29:32
date last changed
2013-02-04 17:29:32
@misc{3363166,
  abstract     = {The main purpose of this thesis is to describe different numerical methods for solving the time-dependent Schr¨odinger equation. We introduce and describe two different basis representations (spectral and pseudospectral). These basis representations are then used in the different methods we take up for discussion. We consider methods in which the Hamiltonian is constructed in a spectral basis and a pseudospectral basis. We also describe different methods of approximating the time-development of the Hamiltonian. Finally some practical examples will
be mentioned.},
  author       = {Persson, Anders},
  language     = {eng},
  note         = {Student Paper},
  title        = {Numerical methods for solving the time-dependent Schrödinger equation},
  year         = {2012},
}