2002/07/24 by Kirill A. Kazakov, Kazakov, Kirill A.
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bohr model #Cold Atom Physics and Bose-Einstein Condensates #Correspondence principle (sociology) #Coulomb #FOS: Physical sciences #Field (mathematics) #Geometry #High Energy Physics - Theory (hep-th) #Identical particles #Interpretation (philosophy) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum field theory #Quantum fluctuation #Quantum mechanics #Square root #Uncertainty principle #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0207218
15 pages, 3 figures, REVTeX
arxiv created 2002/07/24 · openalex publication_date 2002/07/24 · arxiv updated 2016/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The question of Bohr correspondence in quantum field theory is considered from a dynamical point of view. It is shown that the classical description of particle interactions is inapplicable even in the limit of large particles' masses because of finite quantum fluctuations of the fields produced. In particular, it is found that the relative value of the root mean square fluctuation of the Coulomb and Newton potentials of a massive particle is equal to 1/sqrt2. It is shown also that in the case of a macroscopic body, the quantum fluctuations are suppressed by a factor 1/sqrtN, where N is the number of particles in the body. An adequate macroscopic interpretation of the correspondence principle is given.