Variational Quantum Reactive Scattering in Three Dimensions

We present a method for including the geometric phase in quantum reactive scattering computations based on the log derivative version of the Kohn variational principle. A new variational functional is developed which includes the influence of the geometric phase through modifications in the momentum operators. The system investigated is a two-dimensional reactive scattering model which includes the vector potential induced by the magnetic field of an infinitely long solenoid. The coordinates used in this model are analogous to Jacobi coordinates used in atom–diatom systems. Some interesting features of this study include the gauge invariance of the scattering probabilities, symmetry adaptation of the wave function, and the behavior of the probability density in the presence of the geometric phase.We present a method for including the geometric phase in quantum reactive scattering computations based on the log derivative version of the Kohn variational principle. A new variational functional is developed which includes the influence of the geometric phase through modifications in the momentum operators. The system investigated is a two-dimensional reactive scattering model which includes the vector potential induced by the magnetic field of an infinitely long solenoid. The coordinates used in this model are analogous to Jacobi coordinates used in atom–diatom systems. Some interesting features of this study include the gauge invariance of the scattering probabilities, symmetry adaptation of the wave function, and the behavior of the probability density in the presence of the geometric phase.

The Journal of Chemical PhysicsAug 15, 199429 citations

Three-Dimensional Quantum Mechanics: Resonance Scattering

S. Brandt, Hans Dieter Dahmen

Springer eBooksJan 1, 20011 citation

Feshbach resonances in ultracold atom-molecule collisions

Andrea Simoni, Jean–Michel Launay, Pavel Soldán

We investigate the presence of Feshbach resonances in ultracold alkali-dialkali reactive collisions. A potential-energy surface of ${\text{Na}}_{3}$ in the lowest quartet state is constructed and used in quantum scattering calculations. An analysis of scattering features is performed through a systematic variation in the nonadditive three-body interaction potential. Our results should provide useful information for interpreting future atom-molecule collision experiments.We investigate the presence of Feshbach resonances in ultracold alkali-dialkali reactive collisions. A potential-energy surface of ${\text{Na}}_{3}$ in the lowest quartet state is constructed and used in quantum scattering calculations. An analysis of scattering features is performed through a systematic variation in the nonadditive three-body interaction potential. Our results should provide useful information for interpreting future atom-molecule collision experiments.

arXiv:0901.3129Physical Review AMar 3, 200937 citations

Three-Dimensional Quantum Mechanics: Resonance Scattering

S. Brandt, Hans Dieter Dahmen

Springer eBooksJan 1, 19950 citations

We investigate the presence of Feshbach resonances in ultracold alkali-dialkali reactive collisions. A potential-energy surface of

{\text{Na}}_{3}

in the lowest quartet state is constructed and used in quantum scattering calculations. An analysis of scattering features is performed through a systematic variation in the nonadditive three-body interaction potential. Our results should provide useful information for interpreting future atom-molecule collision experiments.