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- Mauricio Rozo Clavijo, Analysis of a problem of coupled oscillators making use of the bra-ket notation used in quantum mechanics , Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales: Vol. 42 No. 163 (2018)
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Abstract
A description is performed on the dynamics of a particle in rotational motion, using a complex plane and similar procedures to those implemented in the construction of a local gauge theory. The analysis allows the description of the behavior of the particle, by requiring gauge invariance in its equation of position. Requiring gauge invariance leads to the addition of an extra term in the equation, which is interpreted as the angular velocity of the particle. From this analysis, the dynamical effects that determine the motion of the particle are obtained, which are equivalent to those obtained by describing the rotating system using polar coordinates. This kind of analysis is important since it presents a new method to obtain the equations that describe the dynamics of a particle in rotational motion. © 2016. Acad. Colomb. Cienc. Ex. Fis. Nat. All rights reserved.References
Kleppner, D., et al. 1973. An Introduction to Mechanics, McGraw-Hill, Masachusetts, E.U, pp 27-38.
Feynman, R. 1964. The Feynman lectures on Physics, Vol I, Addison- Wesley Publishing Company, Masachusetts,U.S.A, pp 20-1-12.
Marion, J. B. 1992. Dinámica Clásica de las Partículas y Sistemas. Reverté S.A. España, pp 387-393.
Goldstein, H. 1987. Mecánica Clásica, Editorial Reverté S.A. España, pp 226-232.
Greiner, W., et al. 2000. Gauge Theory of Weak Interactions, Springer, New York, pp 107-168.
Quigg, C. 1993. Gauge Theories of the Strong, Weak, and Electromagnetic Interactions, Frontiers in Physics Addison-Wesley, Canada, pp 37-43.
Novaes, S. 2000. Standard Model: An Introduction. Instituto de Física Teórica, Universidade Estadual Paulista, Brazil.arXiv:hep-ph/0001283 v1 Jan 2000.
Quigg, C. 2015. Electroweak Symmetry Breaking in Historical Perspective. arXiv:1503.01756v3, 11 de Mayo 2015.
Weyl, H. 1918. Gravitation and Electricity, Ann. Phys. 59, p 101.
Weyl H. 1952. Space Time Matter, Dover Publications INC, New York, pp 282-295.
French, A. 1974. Vibraciones y Ondas, Editorial Reverté S. A, España, pp 8-18.
Tung, W. 2005. Group Theory in Physics, Word Scientific Publishing Co. Pte. Ltd, pp 12-30.
Fetter, A. L., et al. 1980. Theorical Mechanics of Particles and Continua, McGraw-Hill, U.S.A, pp 31-37.
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