Brief introduction to Raman study of charged particles
Breve introducción al estudio Raman de partículas cargadas
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An analytical development is proposed to determine the solution of the motion equations of a charged particle under the influence of an electric field. In the proposal, the advantages and properties of Laplace's transformation are used to map a system of N second-order non-homogeneous differential equations into a system composed of N linear equations. From the most general solution for the dynamics of the system, some particular cases were studied to recover, in a simple way, the results present in the literature. To motivate the study, Ehrenfest's theorem is used and we discuss how the classical results can be interpreted in their quantum version.
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C. V. Raman, K. S. Krishnan, “A new class of spectra due to secondary radiation”, Indian Journal of Physics, vol. 2, pp. 399-419, July 2012.
A. Smekal, “Zur Quantentheorie der ispersion”, vol. 11, pp. 873-875, October 1923.
C. V. Raman, K.S. Krishnan, “A new Radiation”, Indian Journal of Physics, vol 2, pp. 387-398. June, 1928.
C. V. Raman, K. S. Krishnan, “A new type of secondary radiation,” Nature. Vol. 121, pp. 501-502, March 1928.
A. F. Silva, “Caracterizacao espectroscópica de base de Schiff C18H17N3O investigada por cálculos DFT e espectroscopia vibracional.” Dissertacaoo de Mestrado. Cuiabá, Brasil, 2013.
J. C. Ramos, “Espectroscopia Raman y sus aplicaciones”. Optica Pura y aplicada, vol. 46, no. 1, pp. 83-95, July 2013.
James J. Bohning, “The Raman effect” American Chemical Society, Jadavpur, Calcutta, December 1998.
P. Casper, G. Lucassen, R Wolthuis, H. Bruining, G. Puppels, “In vitro and in vivo Raman spectroscopy of human skin”. Biospectroscopy, vol. 4, no. 31, January 1998. Doi: https://doi.org/10.1002/(SICI)1520-6343(1998)4:5+3.0.CO;2-M
A. Villanueva-Luna, J. Castro-Ramos, S. Vazquez-Montiel, A. Flores Gil, J. A. Delgado-Atencio. ”Comparison of different kinds of skin using Raman spectroscopy”. Optical Diagnostics and Sensing X: Toward Point-of-Care Diagnostics, vol. 7572, no. 75720M, Febraury 2010. Doi: https://doi.org/10.1117/12.842843
K. Golcuka, G. Mandair, A. F. Callender. N. Sahar. D. Kohn, M. Morris, “Is photobleaching necessary for Raman imaging of bone tissue using a green laser” Biochimica et Biophysica Acta (BBA) – Biomembranes, vol 1758, no. 7, pp. 868-873, July 2006. Doi: https://
doi.org/10.1016/j.bbamem.2006.02.022
M. D. Morris W. F. Finney, R. M. Rajachar, D. H. Kohn, “Bone tissue ultrastructural response to elastic deformation probed by Raman spectroscopy”. Faraday Discussions, vol. 126, pp. 159-168, November 2003. Doi: https://doi.org/ 10.1039/b304905a
N. Ismail, “Raman spectroscopy with an integrated arrayed-waveguide grating”. Optical Letters, vol.36, no. 23, pp. 4629-4631, April 2011. Doi: https://doi.org/10.1364/OL.36.004629
P. G. Spizziri, N. Cochrane, S. Prawer E. Reynold, “A comparative study of carbonate determination in human teeth using Raman spectroscopy”, Caries Res., vol 46, pp. 353-360, July 2012. Doi: https://doi.org/ 10.1159/000337398
P. Matousek, M. D. Morris (Edts), “Emerging Raman applications and techniques in biomedical and pharmaceutical fields”. P. Matousek, M. D. Morris Edts, Springer, New York, 2010.
T. De Beer, A. Burggraeve, M. Fonteyne, L. Saerens, J.P. Remon, C. Vervaet, “Near infrared and Raman spectroscopy for the in-process monitoring of pharmaceutical production processes”, International Journal of Pharmaceutics, vol. 417, no.1, pp. 32-47, December 2010. Doi: https://doi.org/10.1016/j.ijpharm.2010.12.012
R. P. Freitas, “Aplicacoes de técnicas nucleares e espectroscopia molecular em arqueometria”. Tese Doutorado, Engenharia Nuclear, UFRJ, Rio de Janeiro, Brasil, 2014.
C. Calza, “Desenvolvimento de sistema portátil de fluorescencia de raios X com aplicacoes na arqueometria”. Tese Doutorado, Engenharia Nuclear, UFRJ, Rio de Janeiro, Brasil, 2007.
M. Amer, “Raman spectroscopy, fullerenes and nanotechnology”. Royal Society of Chemistry, Cambridge, 2010.
V. N. Popov, P. Lambin, “Carbon nanotubes: from basic research to nanotechnology”, Springer, Dordrecht 2006.
J. H. Robin, M. L. C. Clark, Catarina Lagarana, “Ramam Miscroscopy: The identification of lapis cazuli on medieval pottery from the south Italy”, Spectrchimica Acta Part. A, vol. 53, pp. 597, July 1997. Doi: https://doi.org/10.1016/S1386-1425(96)01768-4
R. P. Millen, D. L. A. De Faria, L. A. Marcia Temperini, “Modelos para dispersao Raman em polímeros conjugados”, Quimica Nova, vol. 28, no.2, pp. 289, September 2005.
P. W. M. Ehrenfreund, “Astrobiology: future perspectives”, Springer, Dordrecht, 2004.
H. Edwards, “Raman spectroscopic approach to analytical astrobiology: the detection of key geological and biomolecular markers in the search for life”. Philosophical Transactions of the Royal Society A, vol. 368, pp. 3059, April. 2010.
Doi: https://doi.org/10.1098/rsta.2010.0100
E. Ali, H. Edwards, M. Hargreaves, H. Scowen, “Raman spectroscopic investigation of cocaine Anal Bioanal Chemical, vol. 390, pp. 1159-1166, June 2007. Doi: https://doi.org/10.1007/s00216-007-1776-z
E. L. Izake, “Forensic and homeland security applications of modern portable Raman spectroscopy”, Forensic Science International, vol 202, no. 1, pp. 1-8, October 2010. Doi: https://doi.org/10.1016/j.forsciint.2010.03.020
E. Smith, G. Dent, “Modern Raman spectroscopy: A Practical Approach”, John Wiley & Sons Ltd. Copyright, 2005.
D. A. Long, Raman Spectroscopy, McGraw-Hill International, New York (1977).
B. P. Stoicheff, “Advances in Spectroscopy, Interscience”, Publishers Ltd., New York, 1959.
A. G. Rodrigues, J. C. Galzerani. “Espectroscopias de infravermelho, Raman e de fotoluminescencia: potencialidades e complementaridades”, Revista Brasileira de ensino de Física, vol. 34, no. 4, pp. 4309-1, 4309-9, July 2012. Doi: https://doi.org/10.1590/
S1806-11172012000400009
P. Larkin, Infrared and Raman spectroscopy, Elsevier, Amstardam, 2011.
D. A. Skoog, F. J. Holler, T. A. Nieman, “Principios de análise instrumental”, 5 ed. Bookman editora, Brasil, 2002.
O. Sala, “Uma molécula didática”, Quimica Nova, vol. 31, no. 4, pp. 914, July 2008.
M. Tsuboi, J. M. Benevides, G.J. Thomas, “Raman tensors and their application in structural studies of biological systems”, Proceedings of the Japan Academy. Series B, Physical and Biological Sciences, vol. 85 no. 3, pp. 83-97, August 2009.Doi: https://doi.
org/10.2183/pjab.85.83
J. Barba-Ortega, M. Rincón-Joya, J. Faúndez-Chaura, “Curva voltaje-tiempo en un proceso aniquilación-creación de pares vórtice-antivórtice”. Revista Ingenio, vol. 15, no. 1, pp. 31–37, July 2018. Doi: https://doi.org/10.22463/2011642X.3122
C. Aguirre-Tellez, E. Valbuena-Niño, J. Barba-Ortega, “Estado de vórtices en un cuadrado superconductor de dos-orbitales con condiciones de contorno mixtas”. Revista Ingenio, vol. 15, no 1, pp. 38–43, July 2018. Doi: https://doi.org/10.22463/2011642X.3118.
C. Aguirre-Tellez, Quesle Martins, J. Barba-Ortega, “Desarrollo analítico de las ecuaciones Ginzburg-Landau para películas delgadas superconductoras en presencia de corrientes”. Revista UIS Ingeniería, vol.18, no 2, pp. 213–220, Febraury 2019. Doi: https://
doi.org/10.18273/revuin.v18n2-2019020.
C. Aguirre-Tellez, J. Faundez, S. Magalhaes, J. Barba-Ortega, “Vortex Matter in a Two-Band SQUID-Shaped Superconducting film”. Journal of 85–96,March 2022. Doi: https://doi.org/10.1007/s10909-022-02701-3
