By Roman Krems, Bretislav Friedrich, William C Stwalley

ISBN-10: 1420059033

ISBN-13: 9781420059038

The First ebook on Ultracold Molecules

Cold molecules supply fascinating homes on which new operational ideas might be established (e.g., quantum computing) or which could permit researchers to review a qualitatively new habit of subject (e.g., Bose-Einstein condensates based by means of the electrical dipole interaction). This interdisciplinary publication discusses novel how you can create and confine molecules at temperatures close to absolute 0 (1 microKelvin to one Kelvin) and surveys the learn performed with and on chilly molecules to this point. it truly is glaring that this learn has irreversibly replaced atomic, molecular, and optical physics and quantum details technology. Its effect on condensed-matter physics, astrophysics, and actual chemistry is turning into obvious in addition. This monograph offers pro researchers in addition to scholars coming into the sphere with a useful spouse, one that, moreover, can help to foster their id inside their associations and the physics and chemistry groups at large.

Features a foreword by way of Nobel Laureate Dudley Herschbach

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The Schrödinger equation for relative motion of two unstructured particles in free space is − 2 2μ ∇ 2 + V (r) Ψ(r) = EΨ(r). 13) It is usually convenient to take E = 0 to be the energy of the separated particles, so that V (r) → 0 as r → ∞. 15) where the centrifugally corrected potential VL (r) is VL (r) = V (r) + + 1) . 8. 15 that are regular at the origin (usually ψL → 0 as r → 0 provided VL (r) 0 at r = 0). 1. 1 Effective potential for single-channel scattering, showing centrifugal barrier and typical wavefunctions for bound and scattering states.

The most important effect of an applied electric or magnetic field is that the energy levels of the colliding monomers split and shift by amounts that can be quite large © 2009 by Taylor and Francis Group, LLC Theory of Cold Atomic and Molecular Collisions 27 compared to the kinetic energy. The shifts in the positions of scattering thresholds have profound effects on collision properties, as will be seen below. Another effect of an applied field is that it breaks the isotropic character of space, so that the total angular momentum is no longer a good quantum number.

2009 by Taylor and Francis Group, LLC 10 Cold Molecules: Theory, Experiment, Applications motion of noninteracting particles. At very long range, where the centrifugal potential is negligible, the solutions may be written r→∞ ψL (r) ∼ sin(kr − Lπ/2 + δL ). , if V (r) is zero. The scattering amplitude may be written in terms of phase shifts as f (Θ) = 1 2ik ∞ (2L + 1)(e2iδL − 1)PL (cos Θ). 20) L=0 The differential cross-section is and thus involves a double sum over partial waves. Structure in the differential crosssection arises from interference between the contributions of different partial waves.

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