Vector potential quantization and the photon wave-particle representation

[摘要] The quantization procedure of the vector potential is enhanced at a single photon state revealing the possibility for a simultaneous representation of the wave-particle nature of the photon. Its relationship to the quantum vacuum results naturally. A vector potential amplitude operator is defined showing the parallelism with the Hamiltonian of a massless particle. It is further shown that the quantized vector potential satisfies both the wave propagation equation and a linear time-dependent Schrödinger-like equation.

[发布机构] CEA Saclay. National Institute for Nuclear Science and Technology, Université Paris Saclay, Gif-sur-Yvette; 91191, France^1;LATMOS/IPSL, UVSQ Université Paris-Saclay, UPMC Univ. Paris 06, CNRS, Guyancourt; F-78280, France^2

[效力级别] 数学

[关键词] Linear time;Massless particles;Quantum vacuum;Single photon state;Vector potential;Wave particles;Wave propagation equations