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 ...

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 ...

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 ...

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 — ...