Simulación del experimento de Stern-Gerlach para sistemas de espín ½.

Vista sencilla de ítem
dc.contributor.advisor Méndez Hincapié, Néstor Fernandospa
dc.contributor.authorMartínez Quintero, María Alejandraspa
dc.coverage.spatialBogotá, Colombia
dc.date.accessioned2026-02-12T15:30:11Z
dc.date.available2026-02-12T15:30:11Z
dc.date.issued2025
dc.description.abstractEste trabajo de grado presenta el diseño, desarrollo y validación de una simulación interactiva del experimento de Stern-Gerlach dirigida a la enseñanza de conceptos fundamentales de mecánica cuántica en educación superior. La investigación surge de la identificación de limitaciones en simulaciones existentes, particularmente en la representación de estados puros y mezclados, y la superposición cuántica. Mediante una metodología de diseño educativo y desarrollo en Unity 6, se implementó un prototipo que incorpora el formalismo de matrices densidad, permite el control de parámetros experimentales e incluye una guía didáctica estructurada en tres fases (antes, durante y después). La validación por expertos confirmó su pertinencia conceptual, rigor científico y potencial pedagógico para abordar dificultades de aprendizaje en física cuántica, constituyendo un aporte significativo a los recursos educativos digitales en el área.spa
dc.description.abstractenglishThis undergraduate thesis presents the design, development, and validation of an interactive simulation of the Stern-Gerlach experiment aimed at teaching fundamental quantum mechanics concepts in higher education. The research addresses identified limitations in existing simulations, particularly in representing pure and mixed states, and quantum superposition. Using an educational design methodology and development in Unity 6, a prototype was implemented that incorporates the density matrix formalism, allows control of experimental parameters, and includes a three-phase didactic guide (before, during, and after). Expert validation confirmed its conceptual relevance, scientific rigor, and pedagogical potential for addressing learning difficulties in quantum physics, representing a significant contribution to digital educational resources in this field.eng
dc.description.degreelevelPregradospa
dc.description.degreenameLicenciado en Físicaspa
dc.description.researchareaLa Enseñanza de la Física y la Relacíon Física Matemática
dc.format.mimetypeapplication/pdfspa
dc.identifier.instnameinstname:Universidad Pedagógica Nacionalspa
dc.identifier.reponamereponame:Repositorio Institucional de la Universidad Pedagógica Nacionalspa
dc.identifier.repourlrepourl: http://repositorio.pedagogica.edu.co/
dc.identifier.urihttp://hdl.handle.net/20.500.12209/21955
dc.language.isoes
dc.publisherUniversidad Pedagógica Nacionalspa
dc.publisher.facultyFacultad de Ciencia y Tecnologíaspa
dc.publisher.programLicenciatura en Físicaspa
dc.relation.referencesAlivisatos, A. P. (1996). Perspectives on the physical chemistry of semiconductor nanocrys tals. The Journal of Physical Chemistry, 100(31), 13226-13239. https://doi.org/10. 1021/jp9535506
dc.relation.referencesBallentine, L. E. (1998). Quantum Mechanics: A Modern Development. World Scientific.
dc.relation.referencesBurbano, Z. E. M., Solbes, J., & Avenia, G. A. M. (2020). Enseñanza de la estructura atómica de la materia en Colombia: Análisis de la enseñanza de conceptos cuánticos en la unidad de Estructura atómica de la materia
dc.relation.referencesCassidy, D. C. (1992). Uncertainty: The Life and Science of Werner Heisenberg. Freeman
dc.relation.referencesCataloglu, E., & Robinett, R. W. (2010). Testing the development of student conceptual and visualization understanding in quantum mechanics through the undergraduate career. American Journal of Physics, 70 (3), 238-251. https://doi.org/10.1119/1.1427084
dc.relation.referencesChen, L., et al. (2022). Limitaciones de simulaciones simplificadas en la enseñanza de la medición cuántica. Physical Review Physics Education Research, 18 (2), 023101.
dc.relation.referencesChuang, I. L., & Nielsen, M. A. (1997). Prescription for experimental determination of the dynamics of a quantum black box
dc.relation.referencesEducación Nacional, M. (1998). Lineamientos Curriculares: Ciencias Naturales y Educación Ambiental. MEN.
dc.relation.referencesDe Leo, S. (2020). Quantum mechanics in introductory physics courses. European Journal of Physics, 41 (5), 055403. https://doi.org/10.1088/1361-6404/ab8e52
dc.relation.referencesDirac, P. A. M. (1958). The Principles of Quantum Mechanics (4th). Oxford University Press
dc.relation.referencesEscalada, L. T., & Zollman, D. A. (2004). An investigation on the effects of using interactive digital video in a physics classroom on student learning and attitudes. Journal of Research in Science Teaching, 34 (5), 467-489. https://doi.org/10.1002/(SICI)1098- 2736(199705)34:5⟨467::AID-TEA5⟩3.0.CO;2-W
dc.relation.referencesFano, U. (1957). Description of States in Quantum Mechanics by Density Matrix and Operator Techniques. Rev. Mod. Phys., 29, 74-93. https://doi.org/10.1103/RevModPhys. 29.74
dc.relation.referencesFano, U. (1957). Description of States in Quantum Mechanics by Density Matrix and Operator Techniques. Rev. Mod. Phys., 29, 74-93. https://doi.org/10.1103/RevModPhys. 29.74
dc.relation.referencesGarcia, E., & Wilson, R. (2023). Design principles for dynamic quantum mechanics learning environments. Educational Technology Research and Development, 71 (2), 789-805.
dc.relation.referencesGarcía, M., & López, R. (2022). Persistencia de concepciones clásicas en estudiantes de mecánica cuántica en Colombia. Revista Colombiana de Educación en Ciencias, 18 (2), 45-62.
dc.relation.referencesGisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002). Quantum cryptography. Reviews of Modern Physics, 74 (1), 145-195. https://doi.org/10.1103/RevModPhys.74.145
dc.relation.referencesGonzález, M., & Torres, P. (2023). Impacto de simulaciones PhET en el rendimiento académico en física cuántica en Latinoamérica. Journal of Latin American Physics Education, 12 (2), 67-82.
dc.relation.referencesGreca, I. M., Freire, A. K., & Moreira, W. G. (2018). Theoretical and methodological framework for research in learning quantum mechanics. International Journal of Science and Mathematics Education, 16 (3), 505-527. https://doi.org/10.1007/s10763-016-9782-0
dc.relation.referencesGreca, I. M., & Freire, O. (2014). Teaching and learning quantum theory in the general education classroom. Science & Education, 23 (6), 1301-1324
dc.relation.referencesGriffiths, D. J. (2018). Introduction to Quantum Mechanics (3rd). Cambridge University Press
dc.relation.referencesGriffiths, D. J., & Schroeter, D. F. (2018). Introduction to Quantum Mechanics (3rd). Cambridge University Press. https://doi.org/10.1017/9781108333511
dc.relation.referencesGrimberg, R., & Hiley, B. (2020). On the interpretation of the Stern-Gerlach experiment. Foundations of Physics, 50 (2), 144-160.
dc.relation.referencesHernández, J., Martínez, R., & Díaz, S. (2022). Estudio de concepciones sobre superposición cuántica en la Universidad Pedagógica Nacional. Revista de Ense˜nanza de la F´ısica, 34 (1), 23-35.
dc.relation.referencesHu, D. e. a. (2023). Challenges in addressing student difficulties with quantum mechanics. Physical Review Physics Education Research, 19 (2), 020130. https://doi.org/10.1103/ PhysRevPhysEducRes.19.020130
dc.relation.referencesKlein, P., Sahr, M., & Wiesner, M. (2022). Students’ misconceptions and the effectiveness of digital tools in quantum mechanics instruction: A systematic review. European Journal of Physics, 43 (4), 045701. https://doi.org/10.1088/1361-6404/ac67e1
dc.relation.referencesKrijtenburg-Lewerissa, K., Pol, H. J., Brinkman & van Joolingen, W. R. (2017). Insights into teaching quantum mechanics in secondary and lower undergraduate education. Physical Review Physics Education Research, 13, 010109. https://doi.org/10.1103/ PhysRevPhysEducRes.13.010109
dc.relation.referencesKumar, S., & Johnson, M. (2022). Visualizing pure and mixed states in quantum mechanics simulations. Journal of Science Education and Technology, 31 (5), 612-625.
dc.relation.referencesLee, J., & Brown, T. (2023). Visualizing quantum state collapse through interactive simulations. Physical Review Physics Education Research, 19 (1), 010135.
dc.relation.referencesManogue, C. A., Roundy, D. J., & Dray, T. (2019). The Paradigms in Physics Project: A five-year review. American Journal of Physics, 87 (10), 757-765. https://doi.org/10. 1119/1.5123791
dc.relation.referencesMartínez, P., & Fernández, A. (2023). Metavisión en el aprendizaje de la mecánica cuántica: un estudio con estudiantes universitarios. Journal of Science Education, 24 (1), 78-95.
dc.relation.referencesMcAfee, J. e. a. (2025). A review of research on the teaching and learning of quantum mechanics. Chemistry Education Research and Practice. https://doi.org/10.1039/ d5rp00030k
dc.relation.referencesMcAfee, S. C., Watts, F. M., & Rodríguez, J. G. (2025). A review of research on the teaching and learning of quantum mechanics. Chemistry Education Research and Practice, 26, 578-593
dc.relation.referencesMcKagan, S. B., Perkins, K. K., & Wieman, C. E. (2008a). Developing and researching PhET simulations for teaching quantum mechanics. https://search.issuelab.org/resource/ developing-and-researching-phet-simulations-for-teaching-quantum-mechanics.html
dc.relation.referencesMcKagan, S. B., Perkins, K. K., & Wieman, C. E. (2008b). Developing and researching PhET simulations for teaching quantum mechanics. American Journal of Physics, 76 (4-5), 406-417. https://doi.org/10.1119/1.2885199
dc.relation.referencesMuller, R., & Wiesner, H. (2008). Determining and interpreting the resistance to learning quantum mechanics. European Journal of Physics, 29 (2), 345-359.
dc.relation.referencesMuller, R., & Gunter, S. (2021). Visualizing quantum states: From Bloch spheres to Hilbert spaces. European Journal of Physics, 42 (5), 055409. https://doi.org/10.1088/1361- 6404/ac0537
dc.relation.referencesNielsen, M. A., & Chuang, I. L. (2010). Quantum Computation and Quantum Information (10th Anniversary). Cambridge University Press
dc.relation.referencesOtero, M. R., Arlego, M., & Fanaro, M. A. (2009). Investigación y desarrollo de propuestas didácticas para la enseñanza de la mecánica cuántica en secundaria. Revista Electrónica de Investigación en Educación en Ciencias, 4 (2). https://www.scielo.org.ar/scielo. php?pid=S1850-66662009000200006&script=sci arttext
dc.relation.referencesPais, A. (1986). Inward Bound: Of Matter and Forces in the Physical World. Oxford University Press
dc.relation.referencesPassante, G., Emigh, P. J., & Shaffer, P. S. (2015). Student ability to distinguish between superposition states and mixed states in quantum mechanics. Physical Review Special Topics-Physics Education Research, 11, 020135. https://doi.org/10.1103/ PhysRevSTPER.11.020135
dc.relation.referencesPeres, A. (2002). Quantum Theory: Concepts and Methods. Kluwer Academic.
dc.relation.referencesPreskill, J. (1998). Lecture Notes for Physics 229: Quantum Information and Computation
dc.relation.referencesPreskill, J. (2018). Quantum computing in the NISQ era and beyond. Quantum, 2, 79. https: //doi.org/10.22331/q-2018-08-06-79
dc.relation.referencesRodríguez, M., & García, L. (2021). Análisis de concepciones alternativas en mecánica cuántica en estudiantes universitarios. Journal of Physics Education, 15 (3), 112-125.
dc.relation.referencesRodríguez, S., et al. (2023). Impacto de simulaciones interactivas en la comprensión del colapso cuántico. Latin-American Journal of Physics Education, 17 (3), 112-125.
dc.relation.referencesSakurai, J. J., & Napolitano, J. (1995). Modern Quantum Mechanics. Addison-Wesley.
dc.relation.referencesSchermerhorn, B. P., Corsiglia, G., Sadaghiani, H., Passante, G., & Pollock, S. (2022). From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics. Physical Review Physics Education Research, 18, 010145. https: //doi.org/10.1103/PhysRevPhysEducRes.18.010145
dc.relation.referencesSchlosshauer, M. (2007). Decoherence and the Quantum-to-Classical Transition. Springer
dc.relation.referencesSchwabl, F. (2007). Quantum Mechanics. Springer
dc.relation.referencesShankar, R. (1994). Principles of Quantum Mechanics (2nd). Springer.
dc.relation.referencesSilva, A., & González, T. (2022). Desafíos en la enseñanza de la física cuántica en contextos de recursos limitados. Educación Científica en América Latina, 9 (4), 23-41
dc.relation.referencesSilva, R., & Martínez, A. (2023). Enseñanza de decoherencia cuántica mediante simulaciones avanzadas del experimento Stern-Gerlach. American Journal of Physics, 91 (4), 285-294.
dc.relation.referencesSingh, C., & Marshman, E. (2015). Review of student difficulties in upper-level quantum mechanics. Physical Review Special Topics-Physics Education Research, 11, 020117. https://doi.org/10.1103/PhysRevSTPER.11.020117
dc.relation.referencesSingh, C. (2001). Student understanding of quantum mechanics at the beginning of graduate instruction. American Journal of Physics, 69 (8), 885-895. https://doi.org/10.1119/1. 1377283
dc.relation.referencesSingh, C. (2015). Review of student difficulties in upper-level quantum mechanics. Physical Review Special Topics - Physics Education Research, 11 (2), 020117. https://doi.org/ 10.1103/PhysRevSTPER.11.020117
dc.relation.referencesStadermann, H. K. E., van den Berg, E., & Goedhart, M. J. (2019). Analysis of secondary school quantum physics curricula of 15 different countries: Different perspectives on a challenging topic. Physical Review Physics Education Research, 15, 010130. https: //doi.org/10.1103/PhysRevPhysEducRes.15.010130
dc.relation.referencesStern, O., & Gerlach, W. (1922). Ein Weg zur experimentellen Prufung der Richtungsquantelung im Magnetfeld. Zeitschrift fur Physik, 9 (1), 349-352.
dc.relation.referencesStevens, T. H., & Finkelstein, N. D. (2020). Developing interactive simulations for teaching quantum mechanics concepts. Physical Review Physics Education Research, 16 (1), 010110. https://doi.org/10.1103/PhysRevPhysEducRes.16.010110
dc.relation.referencesSusskind, L., & Friedman, A. (2013). Quantum Mechanics: The Theoretical Minimum. Basic Books
dc.relation.referencesTorres, A., & Pérez, M. (2023). Impacto de laboratorios virtuales en el aprendizaje del espín electrónico. Educación Química, 28 (2), 67-78.
dc.relation.referencesUhlenbeck, G. E., & Goudsmit, S. A. (1925). Spinning Electrons and the Structure of Spectra. Nature, 117, 264.
dc.relation.referencesVedral, V. (2010). Decoding reality: The universe as quantum information. Nature, 463 (7281), 925-926. https://doi.org/10.1038/463925a
dc.relation.referencesWang, H., & Smith, J. (2023). Bridging the gap: Integrating mathematical formalism with physical intuition in quantum mechanics education. Physics Education, 58 (3), 035001.
dc.relation.referencesWieman, C. E., Adams, W. K., & Perkins, K. K. (2008). PhET: Simulations That Enhance Learning. Science, 322 (5902), 682-683. https://doi.org/10.1126/science.1161948
dc.relation.referencesZhu, G., & Singh, C. (2011). Improving students’ understanding of quantum mechanics via the Stern–Gerlach experiment. American Journal of Physics, 79 (5), 499-507. https: //doi.org/10.1119/1.3546093
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.accessrightshttp://purl.org/coar/access_right/c_abf2
dc.rights.creativecommonsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourcereponame:Repositorio Institucional de la Universidad Pedagógica Nacionalspa
dc.sourceinstname:Universidad Pedagógica Nacionalspa
dc.subjectSimulación interactivaspa
dc.subjectExperimento de Stern-Gerlachspa
dc.subjectEnseñanza de la física cuánticaspa
dc.subjectEstados puros y mezcladosspa
dc.subjectHerramienta didácticaspa
dc.subjectEducación superiorspa
dc.subjectUnity 6spa
dc.subjectMatrices densidadspa
dc.subject.keywordsInteractive simulationeng
dc.subject.keywordsStern-Gerlach experimenteng
dc.subject.keywordsQuantum physics educationeng
dc.subject.keywordsPure and mixed stateseng
dc.subject.keywordsDidactic tooleng
dc.subject.keywordsHigher educationeng
dc.subject.keywordsUnity 6eng
dc.subject.keywordsDensity matriceseng
dc.titleSimulación del experimento de Stern-Gerlach para sistemas de espín ½.spa
dc.title.translatedSimulation of the Stern-Gerlach experiment for spin ½ systems.eng
dc.typeinfo:eu-repo/semantics/bachelorThesisspa
dc.type.coarhttp://purl.org/coar/resource_type/c_7a1feng
dc.type.driverinfo:eu-repo/semantics/bachelorThesiseng
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersion
dc.type.localTesis/Trabajo de grado - Monografía - Pregradospa

Archivos

Bloque original

Mostrando 1 - 1 de 1
Miniatura
Nombre:
Simulación del experimento de Stern-Gerlach para sistemas de espín ½.pdf
Tamaño:
5.38 MB
Formato:
Adobe Portable Document Format
Descargar

Bloque de licencias

Mostrando 1 - 2 de 2
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descripción:
Descargar
No hay miniatura disponible
Nombre:
202503600261223 - 27 NOV 25 MARIA MARTINEZ.pdf
Tamaño:
346.51 KB
Formato:
Adobe Portable Document Format
Descripción:
Licencia aprobada
Descargar

Colecciones

Licenciatura en Física