Abstract
The physics that determines the line shape of the 1S–2S transition in magnetically trapped is explored. Besides obtaining an understanding of the line shape, one goal is to replace the dependence on large scale simulations of with a simpler integration over well defined functions. For limiting cases, analytic formulas are obtained. Example calculations are performed to illustrate the limits of simplifying assumptions. We also describe a χ 2 method for choosing experimental parameters that can lead to the most accurate determination of the transition frequency.
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