@misc{Gyoletsyan_A._Quantum, author={Gyoletsyan, A. and Karakhanyan, R. and Voronin, A.}, howpublished={online}, abstract={We study quantum gravitational states of ultracold hydrogen atoms in a combined potential consisting of H – 4He surface interaction potential and gravitational potential of the Earth. The key feature of this system is the dramatic separation of spatial (~104) and energy (~10-9) scales between potential components. We show that due to this separation, the influence of H – 4He surface interaction on gravitational states can be described with high accuracy by a boundary condition at zero, expressed through the scattering length. Our main result is the analysis of the near-resonant case, where the scattering length becomes large, revealing pronounced effects on gravitational states and highlighting the novel physical regimes accessible in this system.}, type={Electronic journal}, title={Quantum Gravitational States of Ultracold Hydrogen near Liquid Helium Surface}, keywords={Physics}, }