It’s been over half a century since Frank Drake developed an equation to estimate the probability of finding intelligent life in our galaxy. We’ve learned a lot since then, prompting an astrophysicist ...

Researchers have now succeeded in formulating a mathematical result that provides an exact answer to the question of how chaos actually behaves. The researchers have analyzed chaotic states at the ...

Exact solutions of the Schrödinger equation have long provided fundamental insights into quantum mechanics by furnishing explicit analytical expressions for wave functions and energy spectra. These ...