How quantum bound states bounce and the structure it reveals

Abstract

We investigate how quantum bound states bounce from a hard surface. Our analysis has applications to ab initio calculations of nuclear structure and elastic deformation, energy levels of excitons in semiconductor quantum dots and wells, and cold atomic few-body systems on optical lattices with sharp boundaries. We develop the general theory of elastic reflection for a composite body from a hard wall. On the numerical side we present ab initio calculations for the compression of alpha particles and universal results for two-body states. On the analytical side we derive a universal effective potential that gives the reflection scattering length for shallow two-body states.

final publication version, new lattice results on alpha particle compression, 5 pages, 2 figures

References in corpus (9)

• Alpha cluster condensation in 12C and 16O
• Lattice simulations for few- and many-body systems
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Resonance properties from the finite-volume energy spectrum
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• Optical orientation of electron spins in GaAs quantum wells
• Local versus nonlocal $\alpha \alpha$ interactions in $3\alpha$ description of ${}^{12}$C
• Metal-nonmetal transition and excitonic ground state in InAs/InSb quantum dots
• Quantum Billiards in Optical Lattices

Cited by in corpus (5)

• Corrections to nuclear energies and radii in finite oscillator spaces
• Universal properties of infrared oscillator basis extrapolations
• Systematic expansion for infrared oscillator basis extrapolations
• Charged pion electric polarizability from lattice QCD
• Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror