How neural networks can solve highly complex problems in quantum mechanics
... Restricted Boltzmann Machines (RBMs), a simple type of artificial neural network, can be used to compute with extremely high accuracy the ground-state energy of quantum systems of many particles.
https://towardsdatascience.com/neural-quantum-states-4793fdf67b13
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Some trajectories of a
harmonic oscillatoraccording to
Newton's laws of
classical mechanics(A–B), and according to the
Schrödinger equation of
quantum mechanics (C–H). In A–B, the particle (represented as a ball attached to a
spring) oscillates back and forth. In C–H, some solutions to the Schrödinger Equation are shown, where the horizontal axis is position, and the vertical axis is the real part (blue) or imaginary part (red) of the
wavefunction. C, D, E, F, but not G, H, are
energy eigenstates. H is a
coherent state—a quantum state that approximates the classical trajectory.
