Download Cold and ultracold collisions in Quantum Microscopic and by John Weiner PDF

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By John Weiner

Chilly and ultracold collisions occupy a strategic place on the intersection of a number of strong issues of present learn in chemical physics; in atomic, molecular, and optical physics; or even in condensed subject. the character of those collisions has very important outcomes for optical manipulation of inelastic and reactive techniques, precision size of molecular and atomic homes, matter-wave coherences, and quantum-statistical condensates of dilute, weakly interacting atoms. this important place explains the extensive curiosity and explosive development of the sector due to the fact its inception in 1987. the writer reports parts of quantum scattering idea, collisions happening within the presence of 1 or extra gentle fields, and collisions at the hours of darkness, less than the photon balk restrict imposed by way of the presence of any mild box. ultimately, it stories the basic houses of those mesoscopic quantum platforms, and describes the main value of the scattering size to condensate balance.

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Near the origin the Bessel function is a regular solution; its limiting value is unity for l = 0 and it vanishes for all higher partial waves. The Neumann function, as well as the two Hankel functions, are singular with a pole of order l + 1. As already indicated by Eq. 6, the U (R) = 0 solution to the radial equation must be jl (R) since it does not have unphysical singularities at the scattering center. When a scattering potential is added to Eq. 2 Quantum properties as energy approaches zero 19 linearly independent functions, the real set, jl , n l , or the complex set h l(1) , h l(2) .

43, results in a expression for the phase shift η0 = −ka + tan−1 k tan κa . 49) As k → 0 η0 ka tan κa −1 . 6 shows the behavior of the phase shift as the potential well depth increases. These periodic divergences in the phase shift are directly related to the appearance of bound states 22 Introduction to cold collision theory √ Fig. 6. Behavior of the phase shift as aκ0 increases. The term κ0 = U0 and is the limiting expression for κ as the collision energy goes to zero. The phase shift diverges at π/2 (modulo π) as aκ0 increases.

Excited-state trap-loss collisions and photoninduced repulsion limit achievable densities. A far-off-resonance trap (FORT), in contrast, uses the dipole force rather than the spontaneous force to confine atoms and can therefore operate far from resonance with a negligible population of excited states. The first atom confinement [73] was reported using a dipoleforce trap. A hybrid arrangement in which the dipole force confined atoms radially while the spontaneous force cooled them axially was used by a NIST-Maryland collaboration (Gould et al.

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