A horizontal neutron-reflecting mirror supplies the lower boundary of a quantum bouncer, with the Earth's approximately linear gravitational potential above it. An absorber above the mirror removes neutrons with sufficient vertical extent. Scanning the mirror-absorber gap and counting transmitted neutrons probes the lowest allowed gravitational states. The 2002 work led by Valery V. Nesvizhevsky reported this confinement; a subsequent detailed report describes suppression below the lowest-state height.[ref]
Quantum states of neutrons in the Earth's gravitational field by Valery V. Nesvizhevsky and others. 2002 report, transmission versus absorber height
[ref]Measurement of quantum states of neutrons in the Earth's gravitational field by Valery V. Nesvizhevsky and others. 2003 abstract: horizontal bottom mirror, top absorber and lowest-state transmission threshold
This is a count-versus-gap experiment, not a direct image of a wavefunction. Surface scattering, absorption and the incident vertical-motion distribution enter a quantitative transmission model.