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Appearance of gauge potentials in atomic collision physics
Institution:1. División Académica de Ciencias de la Salud, Universidad Juárez Autónoma de Tabasco, Villahermosa, Tabasco, C.P. 86100, Mexico;2. Secretaría de Salud, Hospital General de Comalcalco, Departamento de Laboratorio de Análisis Clínicos, Comalcalco, Tabasco C.P. 86300, Mexico;1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;2. Department of Mathematics, Australian National University, Canberra ACT 0200, Australia;3. Université Nice Sophia-Antipolis, 06108 Nice Cedex 02, France;4. Institut Universitaire de France, France;1. Department of Educational and Psychological Studies, School of Education and Human Development, University of Miami, 5202 University Dr., Coral Gables, FL 33146, USA;2. Kazan (Volga Region) Federal University, 18 Kremlevskaya Str., Kazan 420021, Russia;3. Department of Counseling and School Psychology, San Diego State University, 5500 Campanile Dr, San Diego, CA 92182, USA
Abstract:The dynamical equations obtained from the method of perturbed stationary states (PSS) are shown to be formally equivalent to the dynamical equations of a particle with N internal degrees of freedom minimally coupled to U (N) static gauge potentials. Several examples are given that illustrate the appearance of non-abelian and magnetic monopole gauge potentials in simple systems. Advantages of expressing the PSS equations as a gauge theory are discussed.
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