Introduction What this Insight Covers In this Insight, I will go over the background information for the Millennium Prize problems and briefly describe three of them. A future Insight will contain brief descriptions of the remaining four problems. Hilbert’s 1900 Problems In 1900, David Hilbert presented 23 of the most important open problems in mathematics…
In this Insight, I’ll discuss a recent experiment ([1] [2] [3]) by some Australian physicists that has brought a thought experiment into the real world [4], and in doing so has lent some ammunition to a most unlikely idea: Retrocausality: A reversal of the concept of causality, allowing effects to occur before the events that cause…
MATLAB error messages like “Inner matrix dimensions must agree” or “Index exceeds matrix dimensions” almost always trace back to five common mistakes: confusing matrix multiplication with elementwise multiplication, indexing past the bounds of an array, forgetting that MATLAB indexing starts at 1, mixing up the assignment operator with the equality operator, and assigning a value…
Introduction The particle in a box is a staple of entry-level quantum mechanics courses because it provides a clear contrast between classical and quantum dynamics. It is one of the few problems that can be solved exactly, without approximations. I suspect most readers solved only the 1-D particle-in-a-box in class and did not explore the…