Shared symmetries of the hydrogen atom and the two-bit system. (21st November 2017)

• Record Type: Journal Article
• Authors: Rau, A R P; Alber, G
• Is Part Of: Journal of physics. Volume 50:Number 24(2017:Dec. 15)
• Publication Date: 2017-11-21
• Subjects: symmetry of hydrogen -- two-qubit pair -- unitary and orthogonal groups -- dynamical symmetry group -- 15-parameter algebra/group; 03.65.Yz -- 05.30.-d -- 42.50.Lc; Atoms -- Periodicals; Molecules -- Periodicals; Optics -- Periodicals; Nuclear physics -- Periodicals; 539.6
• DOI: 10.1088/1361-6455/aa8e39
• Languages: English
• ISSNs: 0953-4075

Abstract

Abstract: The hydrogen atom is the simplest system of atomic and molecular physics, while a two-qubit system is the simplest of quantum information. Remarkably, they share common symmetry aspects which are described in this paper, based on a correspondence between the four-dimensional unitary group and the six-dimensional rotational group with its non-compact extensions. Both systems involve 15 basic operators. Reductions to Lorentz and Poincare space–time group symmetries of a free particle are also discussed.