DOI

The quantum state of a photon in a nanowaveguide was investigated, and it is shown that under certain conditions, it is reduced to the problem of two coupled 1D quantum harmonic oscillators (QHO) with variable frequencies. An explicit expression is obtained for the wave function of a photon, which is characterized by two vibrational quantum numbers. A quantum theory of a photon for a dissipative medium has been developed taking into account the processes of absorption and emission of photons. The mathematical expectation (ME) of the photon wave function is constructed as the product of two 2D integral representations in which the integrand is the solution of a system of two coupled second-order PDEs. The ME of the probability amplitude of the transition of a single-photon state into one of the two-photon entangled Bell states is constructed. Finally, it was proven that, in addition to frequency, spin, momentum and polarization, the photon also has a spatial structure responsible for the cross sections of processes in which this massless fundamental particle participates.
Переведенное названиеКвантовая теория одиночного фотона в произвольной среде
Язык оригиналаанглийский
Номер статьи58
Число страниц44
ЖурналParticles
Том9
Номер выпуска2
DOI
СостояниеОпубликовано - 18 мая 2026

    Области исследований

  • Yang–Mills equations for Abelian fields, Klein–Gordon–Fock equation; open quantum system, Langevin–Schrödinger equation

    Предметные области Scopus

  • Физика и астрономия (все)
  • Математика (все)

ID: 155021585