Quantum Mechanical Approach to Hilbert's Tenth Problem Hilbert's tenth problem deals with determination of the solvability of a Diophantine equation. One formulation is "Given a diophantine equation with any number of unknown quantities and with rational integral numerical coefficients: To devise a process according to which it can be determined by a finite number of operations whether the equation is solvable in rational integers." In an oral contribution to SPIE, Orlando, Tien D Kieu of the Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Australia uses the Quantum adiabatic theorem to analyse various Diophantine equations. This is another in a intersting series of papers that have been publish recently where physics is shedding light on problems in Number Theory. It's only fair as for years physics has borrowed results from mathematicians, now perhaps, physics can return the favour.