There are a few experiments that combine Newtonian gravity and quantum mechanics (1/3).
For example you can split a ray of neutrons, direct each beam throu a different path with different height and then make them collide and see the interference pattern. (The details are in the book of Sakurai "Modern Quantum Mechanics" pp127-129, with data from an experiment of Colella, Overhauser, Werner (1975).)
It is possible to create systems that combine 1/3, but they are almost corner cases and most of the time the other combinations are more useful.
For example you can split a ray of neutrons, direct each beam throu a different path with different height and then make them collide and see the interference pattern. (The details are in the book of Sakurai "Modern Quantum Mechanics" pp127-129, with data from an experiment of Colella, Overhauser, Werner (1975).)
It is possible to create systems that combine 1/3, but they are almost corner cases and most of the time the other combinations are more useful.