0011062v3

related topics
{equation, function, exp}
{operator, operators, space}
{trap, ion, state}
{group, space, representation}
{time, wave, function}
{field, particle, equation}
{theory, mechanics, state}
{state, states, coherent}
{phase, path, phys}
{cos, sin, state}
{vol, operators, histories}
{particle, mechanics, theory}
{error, code, errors}

Symmetries and solutions of the three-dimensional Paul trap

Michael Martin Nieto, D. Rodney Truax

abstract: Using the symmetries of the three-dimensional Paul trap, we derive the solutions of the time-dependent Schr\"odinger equation for this system, in both Cartesian and cylindrical coordinates. Our symmetry calculations provide insights that are not always obvious from the conventional viewpoint.

oai_identifier:
oai:arXiv.org:quant-ph/0011062
categories:
quant-ph
comments:
Opex2 LaTeX, 9 pages, 1 figure. Typos corrected
arxiv_id:
quant-ph/0011062
journal_ref:
Optics Express 2, 123-130 (2001)
report_no:
LA-UR-00-5406
created:
2000-11-14
updated:
2000-12-18

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