Cold Molecules by Krems R.V., Stwalley W.C., Friedrich B.

By Krems R.V., Stwalley W.C., Friedrich B.

The 1st ebook on Ultracold Molecules chilly molecules provide interesting homes on which new operational rules will be established (e.g., quantum computing) or that could enable researchers to check a qualitatively new habit of subject (e.g., Bose-Einstein condensates dependent by way of the electrical dipole interaction). This interdisciplinary ebook discusses novel tips on how to create and confine molecules at temperatures close to absolute 0 (1 microKelvin to one Kelvin) and surveys the examine performed with and on chilly molecules so far. it really is obvious that this learn has irreversibly replaced atomic, molecular, and optical physics and quantum info technological know-how. Its impression on condensed-matter physics, astrophysics, and actual chemistry is turning into obvious in addition. This monograph offers professional researchers in addition to scholars coming into the sector with a worthwhile significant other, one that, additionally, may also help to foster their identification inside their associations and the physics and chemistry groups at huge. includes a foreword by means of Nobel Laureate Dudley Herschbach

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By Krems R.V., Stwalley W.C., Friedrich B.

The 1st ebook on Ultracold Molecules chilly molecules provide interesting homes on which new operational rules will be established (e.g., quantum computing) or that could enable researchers to check a qualitatively new habit of subject (e.g., Bose-Einstein condensates dependent by way of the electrical dipole interaction). This interdisciplinary ebook discusses novel tips on how to create and confine molecules at temperatures close to absolute 0 (1 microKelvin to one Kelvin) and surveys the examine performed with and on chilly molecules so far. it really is obvious that this learn has irreversibly replaced atomic, molecular, and optical physics and quantum info technological know-how. Its impression on condensed-matter physics, astrophysics, and actual chemistry is turning into obvious in addition. This monograph offers professional researchers in addition to scholars coming into the sector with a worthwhile significant other, one that, additionally, may also help to foster their identification inside their associations and the physics and chemistry groups at huge. includes a foreword by means of Nobel Laureate Dudley Herschbach

Show description

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3 Coupled Equations . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Scattering Calculations . . . . . . . . . . . . . . . . . . 2 Numerical Methods for Scattering . . . . . . . . . . . . 3 Decoupling Approximations . . . . . . . . . . . . . . . . 4 Bound States . . . . . . . . . . . . . . . . . . . . . . . . 5 Numerical Methods for Bound States . . . . . . . . . . . 4 Quasibound States and Scattering Resonances .

4 Quasibound States and Scattering Resonances . . . . . . . . . . . 5 Low-Energy Scattering . . . . . . . . . . . . . . . . . . . . . . . 6 Collisions in External Fields . . . . . . . . . . . . . . . . . . . . 1 Basis Sets without Total Angular Momentum . . . . . . 2 Spin Relaxation . . . . . . . . . . . . . . . . . . . . . . . 3 Zero-Energy Feshbach Resonances . . . . . . . . . .

55) where Ψ+ (r) and Ψ− (r) are the wavefunction matrices propagated from short and long range and C + and C − are r-independent column vectors that must be found. 56) where the primes indicate radial differentiation. 57) where the matrix on the left-hand side is evaluated at R = rmid . It is a matrix of order 2N × 2N, and is a function of the energy at which the wavefunctions are calculated. 57 exists only if the determinant of the matrix on the left is zero, and this is true only if the energy used is an eigenvalue En of the coupled equations.

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