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 ...

Prolate spheroidal wave functions (PSWFs) and their discrete counterparts – the discrete prolate spheroidal sequences (DPSSs) – have emerged as essential tools in the analysis of band‐limited ...

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

Tests in a gate-defined loop on graphene tracked a fractional charge circling back with a steady interference beat, as ...

Physicists recently mapped the hidden shape that underlies the quantum behaviors of a crystal, using a new method that’s expected to become ubiquitous. Famously, at the quantum scale, particles can be ...

Nearly a century after the development of quantum theories, a consensus has yet to emerge about what these theories tells us about ourselves and our places in the universe. Ney develops a framework — ...

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 ...