Quantum Particles in an Electromagnetic Field

A. O. Barut, Aaron K. Grant

Yongchao Gan, Wenfeng Wang

Based on the quantum field theory and classical electromagnetic field theory, the behaviors of the electromagnetic field in the boundary of the classical environment and the quantum environment were studied, and three dead-points and five paradoxes, like Lorentz-Compton paradox, non-conservation of the energy of the electromagnetic field before and after quantization due to a number of zero-point energy, the non-self-consistence of the wave-particle duality, etc, were discovered. Through analyzing these dead-points and paradoxes, we found that these paradoxes are related to each other, and all wrapped together. The core problem is the non-self-consistence in the theoretical system and the ambiguity in the mechanism of the wave-particle duality. Based on resolving the classical electromagnetic field into the electromagnetic element-waves according to the photons, a third kind of wave-particle duality, the particle-like characteristics of the classical electromagnetic field in structure, was put forward, and the structure of &pgr;-shape of three kinds of wave-particle duality was revealed. So, in wave-particle duality, the wave and the particle are staggered in existing time, or in existing form, either in imagination or in reality, and the third kind of wave-particle duality will be combined into a unit with the first kind of wave-particle duality, Einstein's wave-particle duality of light, and the second kind of wave-particle duality, de Broglie's wave-particle duality of matter particle. Hence, a self-consistent picture of wave-particle duality of light was set up, and three dead-points and five paradoxes of the electromagnetic field in the boundary of the classical environment and the quantum environment were dispelled. In the last, a crucial experiment was designed for testing this picture.

Yongchao Gan, Wenfeng Wang

Based on the quantum field theory and classical electromagnetic field theory, the behaviors of the electromagnetic field in the boundary of the classical environment and the quantum environment were studied, and three dead-points and five paradoxes, like Lorentz-Compton paradox, non-conservation of the energy of the electromagnetic field before and after quantization due to a number of zero-point energy, the non-self-consistence of the wave-particle duality, etc, were discovered. Through analyzing these dead-points and paradoxes, we found that these paradoxes are related to each other, and all wrapped together. The core problem is the non-self-consistence in the theoretical system and the ambiguity in the mechanism of the wave-particle duality. Based on resolving the classical electromagnetic field into the electromagnetic element-waves according to the photons, a third kind of wave-particle duality, the particle-like characteristics of the classical electromagnetic field in structure, was put forward, and the structure of n-shape of three kinds of wave-particle duality was revealed. So, in wave-particle duality, the wave and the particle are staggered in existing time, or in existing form, either in imagination or in reality, and the third kind of wave-particle duality will be combined into a unit with the first kind of wave-particle duality, Einstein's wave-particle duality of light, and the second kind of wave-particle duality, de Broglie's wave-particle duality of matter particle. Hence, a self-consistent picture of wave-particle duality of light was set up, and three dead-points and five paradoxes of the electromagnetic field in the boundary of the classical environment and the quantum environment were dispelled. In the last, a crucial experiment was designed for testing this picture.

Aubrey Truman, Huaizhong Zhao

In this paper we consider the ℏ→0 asymptotics for the solutions to stochastic Schrödinger equations for quantum mechanical particles in random electromagnetic fields in Rn. We obtain semi-classical expansions for their solutions up to any order in L2(Rn) a.s. by using a stochastic Hamilton Jacobi equation and a stochastic continuity equation. We conclude that as ℏ→0 the stochastic quantum mechanics with random electromagnetic fields tends to stochastic classical mechanics.