Antiparticles in Non-Relativistic Quantum Mechanics
Open Access
- 18 April 2025
- journal article
- research article
- Published by MDPI AG in Modern Mathematical Physics
- Vol. 1 (1) , 4
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.Keywords
All Related Versions
This publication has 12 references indexed in Scilit:
- Klein-Gordon oscillators and Bergman spacesJournal of Geometry and Physics, 2024
- Obtaining the non-relativistic quantum mechanics from quantum field theory: issues, folklores and factsThe European Physical Journal C, 2018
- Topological Solitons2004
- Holomorphic methods in analysis and mathematical physics2000
- Quantum Fields in Curved Space1982
- Geometric quantization and the Bogoliubov transformationProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1981
- Geometric Quantization and Quantum Mechanics1980
- Reduction of symplectic manifolds with symmetryReports on Mathematical Physics, 1974
- On a Hilbert space of analytic functions and an associated integral transform part ICommunications on Pure and Applied Mathematics, 1961
- The Principles of Quantum MechanicsPhysics Today, 1958