Por favor, use este identificador para citar o enlazar este ítem:
http://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/3387
Registro completo de metadatos
Campo DC | Valor | Lengua/Idioma |
---|---|---|
dc.contributor.author | González Rojas, Jaime Nicolás. | - |
dc.date.accessioned | 2022-10-03T20:36:56Z | - |
dc.date.available | 2022-03-17 | - |
dc.date.available | 2022-10-03T20:36:56Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | González Rojas, J. N. (2021). Un enfoque matemático de la mecánica cuántica [Trabajo de Grado Pregrado, Universidad de Pamplona]. Repositorio Hulago Universidad de Pamplona. http://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/3387 | es_CO |
dc.identifier.uri | http://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/3387 | - |
dc.description | La física y la matemática son dos ciencias que han caminado de la mano en su desarrollo. El tratamiento axiomático de Dirac- Von Neumann de la mecánica cuántica no relativista es el ejemplo arquetípico de la interacción dual entre las teorías físicas y el desarrollo de las ideas matemáticas. En este trabajo se encuentra un estudio de las matemáticas necesarias para entender el formalismo cuántico presentado por Dirac y Von Neumann; entre tanto, se muestra la diferencia fundamental que existe entre la mecánica cuántica y la mecánica clásica. Por otra parte, se expone de forma corta la formulación de Feynman de la mecánica cuántica que normalmente no se incluye en el contenido de los cursos de cuántica del pregrado. Finalmente, se exploró una nueva formulación de la mecánica cuántica dada por N.Laskin, donde se generaliza la ecuación de Schrödinger mediante los procesos de Lévy. | es_CO |
dc.description.abstract | El autor no proporciona la información sobre este ítem. | es_CO |
dc.format.extent | 94 | es_CO |
dc.format.mimetype | application/pdf | es_CO |
dc.language.iso | es | es_CO |
dc.publisher | Universidad de Pamplona – Facultad de Ciencias Basicas. | es_CO |
dc.subject | El autor no proporciona la información sobre este ítem. | es_CO |
dc.title | Un enfoque matemático de la mecánica cuántica. | es_CO |
dc.type | http://purl.org/coar/resource_type/c_7a1f | es_CO |
dc.date.accepted | 2021-12-17 | - |
dc.relation.references | Aharonov, Y., and Bohm, D. Signi cance of electromagnetic potentials in the quantum theory. Physical Review 115, 3 (1959), 485. | es_CO |
dc.relation.references | Ashtekar, A. New variables for classical and quantum gravity. Physical review letters 57, 18 (1986), 2244. | es_CO |
dc.relation.references | Binnig, G., and Rohrer, H. Scanning tunneling microscopy. Surface science 126, 1-3 (1983). | es_CO |
dc.relation.references | Broglie, L. d. Xxxv. a tentative theory of light quanta. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 47, 278 (1924), 446 458. | es_CO |
dc.relation.references | Carmo, M. P. d. Geometria riemanniana. Tech. rep., 1988. | es_CO |
dc.relation.references | Casimir, H. B., and Polder, D. The in uence of retardation on the london-van der waals forces. Physical Review 73, 4 (1948), 360. | es_CO |
dc.relation.references | Davisson, C., and Germer, L. H. The scattering of electrons by a single crystal of nickel. Nature 119, 2998 (1927), 558 560. | es_CO |
dc.relation.references | Dirac, P. A. M. The fundamental equations of quantum mechanics. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character 109, 752 (1925), 642 653. | es_CO |
dc.relation.references | Dirac, P. A. M. The principles of quantum mechanics. No. 27. Oxford university press, 1981. | es_CO |
dc.relation.references | Esaki, L. New phenomenon in narrow germanium p- n junctions. Physical review 109, 2 (1958), 603. | es_CO |
dc.relation.references | Evans, L. C. Partial di erential equations. American Mathematical Society, 2010. | es_CO |
dc.relation.references | Feynman, R. P., and Brown, L. M. Feynman's thesis: a new approach to quantum theory. World Scienti c, 2005. | es_CO |
dc.relation.references | Feynman, R. P., Leighton, R. B., and Sands, M. The feynman lectures on physics; vol. i. American Journal of Physics 33, 9 (1965). | es_CO |
dc.relation.references | Feynman, R. P., Leighton, R. B., and Sands, M. The Feynman lectures on physics: volume III: quantum mechanics. 1965. | es_CO |
dc.relation.references | Fonseca, K. M., and Torres-Ardila, F. De la diferencia entre operadores hermíticos y autoadjuntos on the di erence between hermitian operators and self-adjoint operators. | es_CO |
dc.relation.references | Gerlach, W., and Stern, O. Das magnetische moment des silberatoms. Zeitschrift für Physik 9, 1 (1922), 353 355. | es_CO |
dc.relation.references | Gerlach, W., and Stern, O. Der experimentelle nachweis der richtungsquantelung im magnetfeld. Zeitschrift für Physik 9, 1 (1922), 349 352. | es_CO |
dc.relation.references | Gerlach, W., and Stern, O. Der experimentelle nachweis der richtungsquantelung im magnetfeld. Zeitschrift | es_CO |
dc.relation.references | Hamilton, S. W. R. On a general method in dynamics. Richard Taylor, 1834. | es_CO |
dc.relation.references | Hand, L. N., and Finch, J. D. Analytical mechanics. Cambridge University Press, 1998. | es_CO |
dc.relation.references | Hawking, S. W., and Mlodinow, L. A briefer history of time. Bantam Press, 2020. | es_CO |
dc.relation.references | Heisenberg, W. Über den anschaulichen inhalt der quantentheoretischen kinematik und mechanik, zs. für phys. | es_CO |
dc.relation.references | Herrmann, R. The fractional symmetric rigid rotor. Journal of Physics G: Nuclear and Particle Physics 34, 4 (2007), 607. | es_CO |
dc.relation.references | Hibbs, A., and Feynman, R. P. Quantum mechanics and path integrals. McGraw-Hill Interamericana, 1965. | es_CO |
dc.relation.references | Hilbert, D., Neumann, J. v., and Nordheim, L. Über die grundlagen der quantenmechanik. Mathematische Annalen 98, 1 (1928). | es_CO |
dc.relation.references | Jackson, J. D. Classical electrodynamics. American Institute of Physics 15, 11 (2009). | es_CO |
dc.relation.references | Kac, M. On some connections between probability theory and di erential and integral equations. In Proceedings of the second Berkeley symposium on mathematical statistics and probability (1951), University of California Press, pp. 189 215. | es_CO |
dc.relation.references | Khintchine, A. Y., and Lévy, P. Sur les lois stables. CR Acad. Sci. Paris 202 (1936), 374 376. | es_CO |
dc.relation.references | Kreyszig, E. Introductory functional analysis with applications, vol. 1. wiley New York, 1978. | es_CO |
dc.relation.references | Lagrange, J. L. Méchanique analitique. Vve Desaint, 1788 | es_CO |
dc.relation.references | Landau, L. D., and Lifshitz, E. M. Classical eld theory. Course of Theoretical Physics 2 (1975). | es_CO |
dc.relation.references | Laskin, N. Fractional quantum mechanics and lévy path integrals. Physics Letters A 268, 4-6 (2000). | es_CO |
dc.relation.references | Lévy, P., and Lévy, P. Théorie de l'addition des variables aléatoires. Gauthier-Villars, 1954. | es_CO |
dc.relation.references | Lim, S. Fractional derivative quantum elds at positive temperature. Physica A: Statistical Mechanics and its Applications 363, 2 (2006), 269 281. | es_CO |
dc.relation.references | Lim, S., and Muniandy, S. Stochastic quantization of nonlocal elds. Physics Letters A 324, 5-6 (2004), 396 405. | es_CO |
dc.relation.references | Loeve, M. Elementary probability theory. In Probability theory i. Springer, 1977. | es_CO |
dc.relation.references | Longhi, S. Fractional schrödinger equation in optics. Optics letters 40, 6 (2015), 1117 1120. | es_CO |
dc.relation.references | Mandelstam, L., and Leontowitsch, M. Zur theorie der schrödingerschen gleichung. Zeitschrift für Physik 47, 1-2 (1928), 131 136. | es_CO |
dc.relation.references | Mastroeni, M. An axiomatic formulation of quantum mechanics | es_CO |
dc.relation.references | McDuff, D., and Salamon, D. Introduction to symplectic topology, vol. 27. Oxford University Press, 2017. | es_CO |
dc.relation.references | Millikan, R. A. A direct photoelectric determination of planck's "h". Phys. Rev. 7 (Mar 1916), 355 388. | es_CO |
dc.relation.references | Pinsker, F., Bao, W., Zhang, Y., Ohadi, H., Dreismann, A., and Baumberg, J. J. Fractional quantum mechanics in polariton condensates with velocity-dependent mass. Phys. Rev. B 92 (Nov 2015), 195310. | es_CO |
dc.relation.references | Planck, M. On the law of distribution of energy in the normal spectrum. Annalen der physik 4, 553 (1901), 1. | es_CO |
dc.relation.references | Preston, T. Xxxvi. radiation phenomena in the magnetic eld. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 45, 275 (1898), 325 339. | es_CO |
dc.relation.references | Rudin, W. Análisis funcional. Reverté, 2012. | es_CO |
dc.relation.references | Sakurai, J., and Napolitano, J. Modern quantum mechanics 2nd edition. Person New International edition (2014). | es_CO |
dc.relation.references | Schrödinger, E. Mémoires sur la mécanique ondulatoire. Bull. Amer. Math. Soc 39 (1933), 854. | es_CO |
dc.relation.references | Simon, D. Albert einstein: Akademie-vorträge. sitzungsberichte der preuÿischen akademie der wissenschaften 1914-1932. | es_CO |
dc.relation.references | Stickler, B. Potential condensed-matter realization of space-fractional quantum mechanics: The one-dimensional lévy crystal. Physical Review E 88, 1 (2013), 012120. | es_CO |
dc.relation.references | Takhtadzhian, L. A., and Takhtadzhian, L. A. T. Quantum mechanics for mathematicians, vol. 95. American Mathematical Soc., 2008. | es_CO |
dc.relation.references | Tayurskii, D., and Lysogorskiy, Y. Quantum uids in nanoporous media e ects of the con nement and fractal geometry. Chinese Science Bulletin 56, 34 (2011), 3617 3622. | es_CO |
dc.relation.references | Teschl, G. Mathematical methods in quantum mechanics. Graduate Studies in Mathematics 99 (2009), 106. | es_CO |
dc.relation.references | Teschl, G. Mathematical methods in quantum mechanics. Graduate Studies in Mathematics 99 (2009), 106. | es_CO |
dc.relation.references | Weinberg, S. The quantum theory of elds, vol. 1. Cambridge university press, 1995. | es_CO |
dc.relation.references | Weyl, H. Quantenmechanik und gruppentheorie. Zeitschrift für Physik 46, 1-2 (1927), 1 46. | es_CO |
dc.relation.references | Young, T. The bakerian lecture. experiments and calculations relative to physical optics. In Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London (1832), no. 1, The Royal Society London. | es_CO |
dc.relation.references | Zorn, M. A remark on method in trans nite algebra. Bulletin of the American Mathematical Society 41, 10 (1935), 667 670. | es_CO |
dc.rights.accessrights | http://purl.org/coar/access_right/c_abf2 | es_CO |
dc.type.coarversion | http://purl.org/coar/resource_type/c_2df8fbb1 | es_CO |
Aparece en las colecciones: | Física |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
González_2021_TG.pdf | González_2021_TG | 3,54 MB | Adobe PDF | Visualizar/Abrir |
Los ítems de DSpace están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.