Quantum-defect theory for $-1/r^4$ type of interactions

Abstract

We present a quantum-defect theory (QDT) for the $-1/r^4$ type of long-range potential, as a foundation for a systematic understanding of charge-neutral quantum systems such as ion-atom, ion-molecule, electron-atom, and positron-atom interactions. The theory incorporates both conceptual and mathematical advances since earlier formulations of the theory. It also includes more detailed discussions of the concept of resonance spectrum and its representations, universal properties in charge-neutral quantum systems, and the QDT description of scattering resonances that is applicable to any $-1/r^n$ potential with $n>2$.

21 pages, 16 figures

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• Quantum defect model of a reactive collision at finite temperature
• Production of NaCa${}^{+}$ molecular ions in the ground state from cold atom-ion mixtures by photoassociation via an intermediate state
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Multichannel quantum-defect theory for ion-atom interactions
• Casimir-Polder shifts on quantum levitation states
• Quantum reflection and Liouville transformations from wells to walls
• Multiscale quantum-defect theory and its application to atomic spectrum
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Laser controlled charge-transfer reaction at low temperatures
• Liouville transformations and quantum reflection
• Universal behaviour of diatomic halo states and the mass sensitivity of their properties
• Observation of quantum capture in an ion-molecule reaction
• Bound states of an ultracold atom interacting with a set of stationary impurities
• Singularities of Floquet Scattering and Tunneling
• On the change of density of states in two-body interactions
• Quantum suppression of cold reactions far from the s-wave energy limit
• Quantum reactive scattering in the long-range ion-dipole potential
• Multichannel Quantum Defect Theory with Numerical Reference Functions: Applications to Cold Atomic Collisions