Scattering and bound states in two-dimensional anisotropic potentials

Journal Article · Tue Nov 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.050701· OSTI ID:22093435

Rosenkranz, Matthias; Weizhu, Bao ^[1]

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1. Department of Mathematics, National University of Singapore, 119076 (Singapore)

We propose a framework for calculating scattering and bound-state properties in anisotropic two-dimensional potentials. Using our method, we derive systematic approximations of partial wave phase shifts and binding energies. Moreover, the method is suitable for efficient numerical computations. We calculate the s-wave phase shift and binding energy of polar molecules in two layers polarized by an external field along an arbitrary direction. We find that scattering depends strongly on their polarization direction and that absolute interlayer binding energies are larger than thermal energies at typical ultracold temperatures.

• OSTI ID: 22093435
• Journal Information: Physical Review. A, Vol. 84, Issue 5; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANISOTROPY
APPROXIMATIONS
BINDING ENERGY
BOUND STATE
LAYERS
MOLECULES
PHASE SHIFT
POLARIZATION
POTENTIAL SCATTERING
POTENTIALS
S WAVES
TWO-DIMENSIONAL CALCULATIONS