Antiparticles in non-relativistic quantum mechanics
arXiv:2404.01756 · doi:10.3390/mmphys1010004
Abstract
Non-relativistic quantum mechanics was originally formulated to describe particles. Using ideas from the geometric quantization approach, we show how the concept of antiparticles can and should be introduced in the non-relativistic case without appealing to quantum field theory. We discuss this in detail using the example of the one-dimensional harmonic oscillator.
20 pages; v4: some clarifications