Numerical methods for solving the time-dependent Schrödinger equation
(2012) FYSK01 20112Department 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.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/3363166
- author
- Persson, Anders LU
- supervisor
- organization
- course
- FYSK01 20112
- year
- 2012
- 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}}, }