A qualitative appraisal for the ability of breakthrough absorption can be fabricated application dimensional analysis. Letting m be accumulation of the atom and k = 2π / λ the accustomed basic of its wave-vector, again the activity of the accustomed motion of the particle,
E=\frac{(\hbar k)^2}{2m}
should be compared to the potential, V(x) of interaction. The distance, | xt | at which E = V(x) can be advised as the ambit the which the atom will appear beyond a alarming aperture in the potential. This is the point at which the WKB adjustment absolutely becomes nonsense. The action for able breakthrough absorption can be accounting as k | xt | < 1. In added words the amicableness is baby compared to the ambit at which the atom may become reflected from the surface. If this action holds, the above aftereffect of the detached appearance of the apparent may be neglected. This altercation produces a simple appraisal for the reflectivity, r,
r=\frac{1}{(1+k|x_{t}|)^4}
which shows acceptable acceding with beginning abstracts for aflame neon and helium atoms, reflected from a collapsed silicon apparent (fig.1), see [6] and references therein. Such a fit is additionally in acceptable acceding with a single-dimensional assay of the drop of atoms from an adorable potential,.[9] Such acceding indicates, that, at atomic in the case of blue-blooded gases and Si surface, the quantun absorption can be declared with single-dimensional hermitian potential, as the aftereffect of allure of atoms to the surface.
E=\frac{(\hbar k)^2}{2m}
should be compared to the potential, V(x) of interaction. The distance, | xt | at which E = V(x) can be advised as the ambit the which the atom will appear beyond a alarming aperture in the potential. This is the point at which the WKB adjustment absolutely becomes nonsense. The action for able breakthrough absorption can be accounting as k | xt | < 1. In added words the amicableness is baby compared to the ambit at which the atom may become reflected from the surface. If this action holds, the above aftereffect of the detached appearance of the apparent may be neglected. This altercation produces a simple appraisal for the reflectivity, r,
r=\frac{1}{(1+k|x_{t}|)^4}
which shows acceptable acceding with beginning abstracts for aflame neon and helium atoms, reflected from a collapsed silicon apparent (fig.1), see [6] and references therein. Such a fit is additionally in acceptable acceding with a single-dimensional assay of the drop of atoms from an adorable potential,.[9] Such acceding indicates, that, at atomic in the case of blue-blooded gases and Si surface, the quantun absorption can be declared with single-dimensional hermitian potential, as the aftereffect of allure of atoms to the surface.
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