A path integral approach has been generalized for the non-relativistic electron charge transfer processes. The charge transfer - the capture of an electron by an ion passing another atom or more generally the problem of rearrangement collisions is formulated in terms of influence functionals. It has been shown that the electron charge transfer process can be treated either as electron transition problem or as elastic scattering of ion and atom in the some effective potential field. The first-order Born approximation for the electron charge transfer cross section has been reproduced to prove the adequacy of the path integral approach for this problem.A path integral approach has been generalized for the non-relativistic electron charge transfer processes. The charge transfer - the capture of an electron by an ion passing another atom or more generally the problem of rearrangement collisions is formulated in terms of influence functionals. It has been shown that the electron charge transfer process can be treated either as electron transition problem or as elastic scattering of ion and atom in the some effective potential field. The first-order Born approximation for the electron charge transfer cross section has been reproduced to prove the adequacy of the path integral approach for this problem.

arXiv:quant-ph/0111008Journal of Physics B Atomic Molecular and Optical PhysicsNov 13, 20012 citations

Resonant Processes in Slow Atomic Collisions

Springer eBooksMay 16, 20061 citation

Path Integral Approach to the Non-Relativistic Electron Charge Transfer

N. Laskin, I. Tomski

A path integral approach has been generalized for the non-relativistic electron charge transfer processes. The charge transfer- the capture of an electron by an ion passing another atom, or more generally the problem of rearrangement collisions is formulated in terms of influence functionals. It has been shown that the electron charge transfer process can be treated either as electron transition problem or as elastic scattering of ion and atom in the some effective potential field. The first-order Born approximation for the electron charge transfer cross section has been reproduced to prove the adequacy of the path integral approach for this problem. PACS number(s): 03.65.Db, 03.65.Nk, 34.70.+e 1A path integral approach has been generalized for the non-relativistic electron charge transfer processes. The charge transfer- the capture of an electron by an ion passing another atom, or more generally the problem of rearrangement collisions is formulated in terms of influence functionals. It has been shown that the electron charge transfer process can be treated either as electron transition problem or as elastic scattering of ion and atom in the some effective potential field. The first-order Born approximation for the electron charge transfer cross section has been reproduced to prove the adequacy of the path integral approach for this problem. PACS number(s): 03.65.Db, 03.65.Nk, 34.70.+e 1

Nov 1, 20010 citations

Low-velocity elastic scattering of Rb-Rb

P. Westphal, S. Koch, A. Horn +2 more

With reference to recent progress in preparing slow and intense Rb beams (rubidium atomic funnel and low-velocity intense source of atoms from a magneto-optical trap) we have calculated total and differential elastic scattering cross sections and scattering lengths for ground-state collisions of ${}^{85}$ Rb as well as ${}^{87}$ Rb. Our results are based on the state of the art ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}$ and $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ potentials. Pronounced resonances in the total scattering cross sections occur for collision velocities below 15 m/s. We propose scattering experiments with slow Rb beams in order to check the currently known singlet and triplet potential-energy curves.With reference to recent progress in preparing slow and intense Rb beams (rubidium atomic funnel and low-velocity intense source of atoms from a magneto-optical trap) we have calculated total and differential elastic scattering cross sections and scattering lengths for ground-state collisions of ${}^{85}$Rb as well as ${}^{87}$Rb. Our results are based on the state of the art ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}$ and $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ potentials. Pronounced resonances in the total scattering cross sections occur for collision velocities below 15 m/s. We propose scattering experiments with slow Rb beams in order to check the currently known singlet and triplet potential-energy curves.

Physical Review AOct 1, 19974 citations

Resonant Transfer and Excitation in Ion-Atom Collisions

Ramakrishnan Chelakara Parameswaran

Jan 1, 19920 citations

{}^{85}

Rb as well as

{}^{87}

Rb. Our results are based on the state of the art ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}$ and $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ potentials. Pronounced resonances in the total scattering cross sections occur for collision velocities below 15 m/s. We propose scattering experiments with slow Rb beams in order to check the currently known singlet and triplet potential-energy curves.