Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)51130JWJLRVPhysics and AstronomyФизикаResearch ArticleLorentz Group and it's Role in the Non-Relativistic Atom ModelГруппа Лоренца и ее роль в нерелятивистской модели атомаBogomolovF.БогомоловФ.-MagarshakYu. B.МагаршакЮ. Б.-Courant Institute of Mathematical Sciences of New York UniversityИнститут КурантаMathTech IncМатТек Инк151220071-2NO12 (2007)№12 (2007)11712208072026Copyright ©; 2007, Bogomolov F., Magarshak Y.B.Copyright ©; 2007, Богомолов Ф., Магаршак Ю.Б.2007Bogomolov F., Magarshak Y.B.Богомолов Ф., Магаршак Ю.Б.https://creativecommons.org/licenses/by-nc/4.0https://journals.rudn.ru/miph/article/view/51130In this article we discuss new symmetry in the atomic structure which was discovered by the second author. We also consider mathematical and physical arguments, which can potentially explain these symmetries.В работе мы обсуждаем новые симметрии атомных структур, недавно открытых вторым соавтором. Мы также обсуждаем математические и физические аспекты возможного объяснения этих симметрий.[Magarshak Y. Four-Dimensional Pyramidal Structure of the Periodic Properties of Atoms and Chemical Elements // Sci. Isr. Technol. Adv. - Vol. 7, No 1, 2. - 2006. - Pp. 134-150.][Magarshak Y., Malinsky J. A Three-Dimensional Periodic Table // Nature. - Vol. 360. - 1992. - Pp. 114-115.][Schro¨dinger E. // Annalen der Physik. Leipzig. - Vol. 79. - 1926. - P. 361.][Schro¨dinger E. // Annalen der Physik. Leipzig. - Vol. 79. - 1926. - P. 489.][Schro¨dinger E. // Annalen der Physik. Leipzig. - Vol. 79. - 1926. - P. 734.][Schro¨dinger E. // Annalen der Physik. Leipzig. - Vol. 80. - 1926. - P. 437.][Schro¨dinger E. // Annalen der Physik. Leipzig. - Vol. 81. - 1926. - P. 109.][Mendelejeff D. On the Relationship of the Properties of the Elements to their Atomic Weights // Zeitschrift fu¨r Chemie. - Vol. 12. - 1869. - Pp. 405-406.][Cowan R. D. The Theory of Atomic Structure and Spectra. - Science, 1981.][Messiah A. Quantum Mechanics. - Courier Dover Publications, 2000.][Pauling L. The Nature of the Chemical Bond. - Cornell Univ. Press, 1939.][Pauling L. Chemistry. - San Francisco: W.H.Freeman Publishing House, 1978.][Levine I. Quantum Chemistry. - 5th edition edition. - Prentice Hall, 1999.][Fulton W. J.Harris Representation Theory. - Springer, 1991.][Murray Gell-Mann. Symmetry Properties of Fields // Proceedings of Solvay Congress. - 1961.][Niyazov R. A., Weinstein L. B. et al. Two-Nucleon Momentum Distributions Measured in 3He(e,e′pp)n // Phys. Rev. Lett. - Vol. 92. - 2004. - P. 052303.]