Автор | J N Churchill |
Автор | F E Holmstrom |
Дата выпуска | 1994-11-01 |
dc.description | The time-evolution of a wave packet in a perfectly periodic lattice potential is considered for an electron that is in a zero-field Bloch energy eigenstate prior to the adiabatic application of a uniform d.c. electric field. Power series expansions in time are constructed for both the exact wave function and the Houston wave function. A comparison of the coefficients in these two expansions shows that the Houston function diverges instantly and drastically from the exact wave function.A special-case example is presented for which the exact wave function is pure-real for all values of time whereas the corresponding Houston function is not. |
Формат | application.pdf |
Издатель | Institute of Physics Publishing |
Название | Bloch electron in an electric field: a comparison between the exact wave function and the Houston approximation |
Тип | paper |
DOI | 10.1088/0031-8949/50/5/021 |
Electronic ISSN | 1402-4896 |
Print ISSN | 0031-8949 |
Журнал | Physica Scripta |
Том | 50 |
Первая страница | 576 |
Последняя страница | 582 |
Выпуск | 5 |