2024/04/02 by Alexander D. Popov, Popov, Alexander D.
Physics and Astronomy · #Quantum and Classical Electrodynamics #Experimental and Theoretical Physics Studies #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.2404.01756
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.