Probability densities for the electron of a hydrogen atom in different quantum states. (ref: http://en.wikipedia.org/wiki/Quantum_state)

The First Image Ever of a Hydrogen Atoms Orbital Structure What youâ€™re looking at is the first direct observation of an atomâ€™s electron orbital â€” an atoms actual wave function! To capture the image, researchers utilized a new quantum microscope â€” an incredible new device that literally allows scientists to gaze into the quantum realm.

Some trajectories of a harmonic oscillator (i.e. a ball attached to a spring) in classical mechanics (A-B) and quantum mechanics (C-H). In quantum mechanics, the position of the ball is represented by a wave (called the wave function), with the real part shown in blue and the imaginary part shown in red. Some of the trajectories (such as C,D,E,and F) are standing waves (or "stationary states").

Does the quantum wave function represent reality? (Phys.org) -- At the heart of quantum mechanics lies the wave function, a probability function used by physicists to understand the nanoscale world. Using the wave function, physicists can calculate a system's future behavior, but only with a certain probability. This inherently probabilistic nature of quantum theory differs from the certainty with which scientists can describe the classical world, leading to a nearly century-long...