For a century, the Schrödinger equation has been the bedrock of quantum mechanics, successfully predicting how matter behaves as a wave. Yet, physics has lacked a fundamental explanation for why ...

Learn how to normalize a wave function using numerical integration in Python. This tutorial walks you through step-by-step coding techniques, key functions, and practical examples, helping students ...

Long before quantum mechanics existed, a scientist developed a powerful way of describing motion by drawing an analogy between particles and light.

There is no measurement that can directly observe the wave function of a quantum mechanical system, but the wave function is still enormously useful as its (complex) square represents the probability ...

Even given a set of possible quantum states for our cosmos, it's impossible for us to determine which one of them is correct ...

A hundred years ago this week, at the height of the quantum revolution, Austrian physicist Erwin Schrödinger submitted a ...

A century ago, Erwin Schrödinger came up with an equation that says how the quantum world behaves. Now scientists are asking ...

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording ...

The 2026 Formula One season is shaping up to be one of the most transformative in the sport’s history.

Kwiat, D. (2026) Planck’s Constant—A Bridge to Charge and Entanglement. Journal of High Energy Physics, Gravitation and Cosmology, 12, 471-483. doi: 10.4236/jhepgc.2026.121026 .

Whether or not Washington ever takes those stakes may matter less than what the rumors represent. We’re witnessing a fusion of industrial policy and market psychology unlike anything since the ...

Does quantum mechanics really reflect nature in its truest form, or is it just our imprecise way of describing the weird properties of the very small? A famous test that can help answer this question ...