Quantum Physics For Dummies, Revised Edition

Chapter 2

Entering the Matrix: Welcome to State Vectors

In This Chapter

Creating state vectors

Using Dirac notation for state vectors

Working with bras and kets

Understanding matrix mechanics

Getting to wave mechanics

Quantum physics isn’t just about playing around with your particle accelerator while trying not to destroy the universe. Sometimes, you get to do things that are a little more mundane, like turn lights off and on, perform a bit of calculus, or play with dice.

If you’re actually doing physics with those dice (beyond hurling them across the room), the lab director won’t even get mad at you. In quantum physics, absolute measurements are replaced by probabilities, so you may use dice to calculate the probabilities that various numbers will come up. You can then assemble those values into a vector (single-column matrix) in Hilbert space (a type of infinitely dimensional vector space with some properties that are especially valuable in quantum physics).

This chapter introduces ...