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The Hamiltonian gives the rate at which the particle has an amplitude to go from m to n. Quantum Mechanics: Non-Relativistic Theory. An electron might be said to be in a superposition of two different velocities or in two places at once. They could even be billions of miles away from each other and this entanglement would still be present. But the British mathematical physicist Roger Penrose has suggested that at intermediate scales, when quantum theory collides with general relativity, the latter will win, destroying quantum effects. Download as PDF Printable version. The particle seems somehow to pass through both slits at once, interfering with itself. The result of this experiment is an interference pattern not predicted by classical mechanics. It's an experiment that challenges intuition, but quantum physics explains what's going on.