|
related topics |
{classical, space, random} |
{energy, state, states} |
{equation, function, exp} |
{group, space, representation} |
{time, wave, function} |
{let, theorem, proof} |
{state, algorithm, problem} |
{operator, operators, space} |
{cos, sin, state} |
{state, states, coherent} |
{trap, ion, state} |
{energy, gaussian, time} |
{states, state, optimal} |
|
Eigensolutions of the kicked Harper model
G. A. Kells
abstract: The time-evolution operator for the kicked Harper model is reduced to block
matrix form when the effective Planck's constant hbar = 2 pi M/N and M and N
are integers. Each block matrix is spanned by an orthonormal set of N "kq"
(quasi-position/quasi-momentum) functions. This implies that the system's
eigenfunctions or stationary states are necessarily discrete and periodic. The
reduction allows, for the first time, an examination of the 2-dimensional
structure of the system's quasi-energy spectrum and the study of, with
unprecedented accuracy, the system's stationary states.
- oai_identifier:
- oai:arXiv.org:quant-ph/0511108
- categories:
- quant-ph
- comments:
- 9 pages, 12 figures
- arxiv_id:
- quant-ph/0511108
- created:
- 2005-11-11
- updated:
- 2006-07-14
Full article ▸
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