Plasma-like Description for Elementary and Composite Quantum Particles
arXiv:2204.10294 · doi:10.3390/e24020261
Abstract
Schr{ö}dinger noticed in 1952 that a scalar complex wave function can be made real by a gauge transformation. The author showed recently that one real function is also enough to describe matter in the Dirac equation in an arbitrary electromagnetic or Yang--Mills field. This suggests some "symmetry" between positive and negative frequencies and, therefore, particles and antiparticles, so the author previously considered a description of one-particle wave functions as plasma-like collections of a large number of particles and antiparticles. The description has some similarities with Bohmian mechanics. This work offers a criterion for approximation of continuous charge density distributions by discrete ones with quantized charge based on the equality of partial Fourier sums, and an example of such approximation is computed using the homotopy continuation method. An example mathematical model of the description is proposed. The description is also extended to composite particles, such as nucleons or large molecules, regarded as collections including a composite particle and a large number of pairs of elementary particles and antiparticles. While it is not clear if this is a correct description of the reality, it can become a basis of an interesting model or useful picture of quantum mechanics.
arXiv commentFormatting differs from that in the published version
References in corpus (16)
- Understanding quantum measurement from the solution of dynamical models
- A Snapshot of Foundational Attitudes Toward Quantum Mechanics
- Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics
- Bohm's approach to quantum mechanics: Alternative theory or practical picture?
- Bohmian particle trajectories in relativistic bosonic quantum field theory
- Electron Charge Density: A Clue from Quantum Chemistry for Quantum Foundations
- Effective action approach to wave propagation in scalar QED plasmas
- One real function instead of the Dirac spinor function
- Another Survey of Foundational Attitudes Towards Quantum Mechanics
- de Broglie's double solution program: 90 years later
- No Drama Quantum Theory?
- Real-Valued Charged Fields and Interpretation of Quantum Mechanics
- No Drama Quantum Theory? A Review
- No Drama Quantum Electrodynamics?
- Response to Horton and Dewdney
- The Dirac equation in a Yang-Mills field as an equation for just one real function