There is a misnomer about quantum mechanics that it requires a lot of sophisticated math. This isn't true in general. Think about the operator solution for the simple harmonic oscillator. It only requires algebraic manipulations and careful logic. My forthcoming book Quantum Mechanics without Calculus teaches the fundamental concepts of Quantum Mechanics without reliance on advanced math; indeed it only requires high-school level math throughout. The book is broken into three sections. The first third covers the conceptual ideas of superposition, indeterminacy, and entanglement. This section uses only math through high school algebra and trigonometry. The second third covers bound-state problems. This section requires a little more math involving complex arithmetic, series expressions for the exponential, and the linear algebra of 2x2 matrices (all which is covered in the text). The third third covers relativistic effects, dynamics, and many-body physics. It requires extending some linear algebra ideas to larger size matrices. The material that is covered includes most of the undergraduate curriculum and the graduate curriculum (except for scattering) and goes beyond what is normally taught in conventional physics classes. It is focused on emphasizing experimental results rather than teaching new math. Working in a representation-independent fashion with operators often gives the student a more physical feel for the calculations. We do emphasize, however, that accessibility is not the same as easy. You need to be strong in your algebra skills to be able to work through the whole book. Once you do, you are actually well equipped to engage in research. Indeed, many of the citizen scientists I work with have gone through at least two-thirds of the book before starting their research project.

Typesetting has begun! When the first one or two chapters are finished, they will be posted here.

Here are some of the pictures that will appear in the book. Even more images were taken from the simulations, and there will be many more pictures from outside of the simulations for the more advanced quantum mechanics that uses operator methods.